1. Numerical study of a two-dimensional eco-epidemiological model with diffusion and convex incidence rate: unconditionally positivity preserving method

Safieh Bagherihamaneh, Mohammad Hossein Akrami, Mohammad Heydari, Ghasem Barid Loghmani (2025), Journal of mathematical modeling , 13(4), 940-962 (No: 34037) (10.22124/jmm.2025.29603.2634)

2. A new generalized model of cooperation of advertising companies based on differential games on networks

Ghasem Barid Loghmani, Marjan Jashnesadeh, (2025), Iranian journal of numerical analysis and optimization , 15(3), 1116-1144 (No: 34169)

3. Convergence analysis of an iterative scheme to solve a family of functional volterra integral equations

Faride Zare Mehrjardi, Mohammad Heydari, Ghasem Barid Loghmani (2024), Applied mathematics and computation , 477(), 128799-1-128799-22 (No: 33048) (10.1016/j.amc.2024.128799)

4. Numerical solution of second-order linear multidimensional hyperbolic telegraph equation using high-order compact finite difference methods

Azam Sadat Hashemi, Mohammad Heydari, Ghasem Barid Loghmani (2024), Iranian journal of science , 48(), 1211-1241 (No: 33050) (10.1007/s40995-024-01659-z)

5. Convergence analysis of compact finite difference method for the solution of anti-periodic boundary value problems

Abdulbaseer Saqib, Ghasem Barid Loghmani, Mohammad Heydari (2024), Journal of mathematical modeling , 12(1), 1-15 (No: 35201)

6. Traveling wave in an eco-epidemiological model with diffusion and convex incidence rate: dynamics and numerical simulation

Safieh Bagherihamaneh, Mohammad Hossein Akrami, Ghasem Barid Loghmani, Mohammad Heydari (2024), Mathematics and computers in simulation , 216(), 347-366 (No: 29815) (10.1016/j.matcom.2023.10.001)

10. A combination of the quasilinearization method and linear barycentric rational interpolation to solve nonlinear multi-dimensional volterra integral equations

Soraya Torkaman, Mohammad Heydari, Ghasem Barid Loghmani (2023), Mathematics and computers in simulation , 208(), 366-397 (No: 29159) (10.1016/j.matcom.2023.01.039)

11. Iterative compact finite difference method for the numerical study of fully wet porous fins with different profile shapes

Azam Sadat Hashemi, Mohammad Heydari, Ghasem Barid Loghmani (2023), Applied numerical mathematics , 186(), 358-377 (No: 29162) (10.1016/j.apnum.2023.01.021)

12. An operational matrix method for solving a class of nonlinear volterra integral equations arising in steady activation of a skeletal muscle

Soraya Torkaman, Mohammad Heydari, Ghasem Barid Loghmani (2023), Iranian journal of numerical analysis and optimization , 13(2), 336-353 (No: 30026)

13. Dual solutions for the problem of mixed convection flow through a porous medium using an iterative finite difference method

Azam Sadat Hashemi, Mohammad Heydari, Ghasem Barid Loghmani, Ganji D.D. (2023), Journal of mathematical extension , 17(1), 1-25 (No: 29160)

14. Convergence analysis of a numerical iterative scheme to find multiple solutions of one-dimensional steady-state reactive transport model

Azam Sadat Hashemi, Mohammad Heydari, Ghasem Barid Loghmani, WAZWAZ ABDUL-MAJID (2023), Romanian reports in physics , 75(), 1-21 (No: 29161)

15. Spectral quasilinearization method for the numerical solution of the non-standard volterra integral equations

Faride Zare Mehrjardi, Mohammad Heydari, Ghasem Barid Loghmani (2023), Iranian journal of science , 47(), 229-247 (No: 30745) (10.1007/s40995-022-01408-0)

16. An explicit representation of the three-point hermite interpolant for the numerical solution of singular boundary value problems

Nasibeh Karamollahi, Mohammad Heydari, Ghasem Barid Loghmani, Amit K. Verma (2022), Applied numerical mathematics , 182(), 265-284 (No: 27364) (10.1016/j.apnum.2022.08.008)

17. Numerical solution of two-point nonlinear boundary value problems via legendre-picard iteration method

Mohammad Tafakkori Bafghi, Ghasem Barid Loghmani, Mohammad Heydari (2022), Mathematics and computers in simulation , 199(), 133-159 (No: 27365) (10.1016/j.matcom.2022.03.022)

18. Piecewise barycentric interpolating functions for the numerical solution of volterra integro-differential equations

Soraya Torkaman, Mohammad Heydari, Ghasem Barid Loghmani (2022), Mathematical methods in the applied sciences , 45(), 6030-6061 (No: 27366) (10.1002/mma.8154)

19. A numerical iterative method for solving two-point bvps in infinite-horizon nonzero-sum differential games: economic applications

, Mohammad Heydari, Ghasem Barid Loghmani (2022), Mathematics and computers in simulation , 200(), 404-427 (No: 27367) (10.1016/j.matcom.2022.04.022)

20. Piecewise jacobi-picard iteration method for solving nonlinear initial value problems on large domains

Mohammad Tafakkori Bafghi, Ghasem Barid Loghmani, Mohammad Heydari, X. Bai (2022), Iranian journal of science and technology transaction a-science , 46(), 595-613 (No: 27368) (10.1007/s40995-022-01267-9)

21. Quasilinearization-based legendre collocation method for solving a class of functional volterra integral equations

Faride Zare Mehrjardi, Mohammad Heydari, Ghasem Barid Loghmani (2022), Asian-european journal of mathematics , 16(), 2350078-1-2350078-27 (No: 28448) (10.1142/S179355712350078X)

22. Convergence analysis of a ldg method for time-space tempered fractional diffusion equations with weakly singular solutions

Z. Safari, Ghasem Barid Loghmani, M. Ahmadinia (2022), Journal of scientific computing , 91(), 68-1-68-29 (No: 28522) (10.1007/s10915-022-01835-6)

23. Numerical solution of two-point bvps in infinite-horizon optimal control theory: a combined quasilinearization method with exponential bernstein functions

, Mohammad Heydari, Ghasem Barid Loghmani (2021), International journal of computer mathematics , 98(), 1-20 (No: 25830) (10.1080/00207160.2021.1876850)

24. A computational method to find dual solutions of the one-dimensional bratu problem

Nasibeh Karamollahi, Ghasem Barid Loghmani, Mohammad Heydari (2021), Journal of computational and applied mathematics , 388(), 113309-1-113309-13 (No: 23979) (10.1016/j.cam.2020.113309)

25. Numerical simulation of non-cooperative and cooperative equilibrium solutions for a stochastic government debt stabilization game

zahra nikooeinejad, Mohammad Heydari, Masoud Saffarzadeh, Ghasem Barid Loghmani, J. Engwerda (2021), Computational economics , 57(), 1-27 (No: 25831) (10.1007/s10614-021-10109-6)

26. Approximate solution of nonlinear fredholm integral equations of the second kind using a class of hermite interpolation polynomials

Nasibeh Karamollahi, Mohammad Heydari, Ghasem Barid Loghmani (2021), Mathematics and computers in simulation , 187(), 414-432 (No: 26397) (10.1016/j.matcom.2021.03.015)

27. An interpolation-based method for solving volterra integral equations

Nasibeh Karamollahi, Mohammad Heydari, Ghasem Barid Loghmani (2021), Journal of applied mathematics and computing , 66(), 1-32 (No: 26399) (10.1007/s12190-021-01547-4)

28. Convergence analysis of an iterative algorithm to solve system of nonlinear stochastic ito-volterra integral equations

Masoud Saffarzadeh, Mohammad Heydari, Ghasem Barid Loghmani (2020), Mathematical methods in the applied sciences , 43(8), 1-22 (No: 23980) (10.1002/mma.6261)

29. Numerical investigation of three-dimensional nanofluid flow with heat and mass transfer on a nonlinearly stretching sheet using the barycentric functions

Soraya Torkaman, Ghasem Barid Loghmani, Mohammad Heydari, Abdul-Majid Wazwaz (2020), International journal of numerical methods for heat and fluid flow , 1(), 1-26 (No: 23983) (10.1108/HFF-03-2020-0135)

30. Dual solutions of the nonlinear problem of heat transfer in a straight fin with temperature-dependent heat transfer coefficient

Nasibeh Karamollahi, Ghasem Barid Loghmani, Mohammad Heydari (2020), International journal of numerical methods for heat and fluid flow , 1(), 1-24 (No: 23984) (10.1108/HFF-04-2020-0201)

31. Barycentric rational interpolation method for numerical investigation of magnetohydrodynamics nanofluid flow and heat transfer in nonparallel plates with thermal radiation

Soraya Torkaman, Mohammad Heydari, Ghasem Barid Loghmani, Davood Domiri Ganji (2020), Heat transfer - asian research , 49(), 1-26 (No: 21742) (10.1002/htj.21627)

32. An effective operational matrix method based on barycentric cardinal functions to study nonlinear mhd nanofluid flow and heat transfer

Soraya Torkaman, Ghasem Barid Loghmani, Mohammad Heydari, M.M. Rashidi (2020), International journal of mechanical engineering , 5(1), 51-63 (No: 23986)

33. A composite iterative procedure with fast convergence rate for the progressive-iteration approximation of curves

Alireza Ebrahimi, Ghasem Barid Loghmani (2019), Journal of computational and applied mathematics , 359(), 1-15 (No: 20119) (10.1016/j.cam.2019.03.025)

34. Novel numerical solutions of nonlinear heat transfer problems using the linear barycentric rational interpolation

Soraya Torkaman, Ghasem Barid Loghmani, Mohammad Heydari, Mohammad Mehdi Rashidi (2019), Heat transfer - asian research , 48(), 1318-1344 (No: 21719) (10.1002/htj.21434)

35. Convergence analysis of an iterative numerical algorithm for solving nonlinear stochastic itô-volterra integral equations with m-dimensional brownian motion

Masoud Saffarzadeh, Mohammad Heydari, Ghasem Barid Loghmani (2019), Applied numerical mathematics , 146(), 182-198 (No: 21741) (10.1016/j.apnum.2019.07.010)

36. Jacobi-picard iteration method for the numerical solution of nonlinear initial value problems

Mohammad Tafakkori Bafghi, Ghasem Barid Loghmani, Mohammad Heydari, Xiaoli Bai (2019), Mathematical methods in the applied sciences , 44(), 1-28 (No: 21743) (10.1002/mma.5900)

37. A numerical simulation of mhd flow and radiation heat transfer of nanofluids through a porous medium with variable surface heat flux and chemical reaction

Ehsan Hosseini Bafroei, Ghasem Barid Loghmani, Mohammad Heydari, Rashidi Mohammad Mehdi (2019), Journal of mathematical extension , 13(2), 31-67 (No: 21745)

38. B-spline curve fitting by diagonal approximation bfgs methods

Alireza Ebrahimi, Ghasem Barid Loghmani (2019), Iranian journal of science and technology transaction a-science , 43(), 1-12 (No: 21754) (10.1007/s40995-017-0347-1)

39. Capturing outlines of generic shapes with cubic bezier curves using the nelder-mead simplex method

Alireza Ebrahimi, Ghasem Barid Loghmani, M. sarfraz (2019), Iranian journal of numerical analysis and optimization , 9(2), 103-121 (No: 21798)

40. Tuning shape parameter of radial basis functions in zooming images using genetic algorithm

Ali mohammad Esmaili zeyni, Ali Mohammad Latif, Ghasem Barid Loghmani (2018), Journal of artificial intelligence and data mining , 6(2), 251-262 (No: 15910)

41. An iterative technique for the numerical solution of nonlinear stochastic it volterra integral equations

Masoud Saffarzadeh, Ghasem Barid Loghmani, Mohammad Heydari (2018), Journal of computational and applied mathematics , 333(), 74-86 (No: 15987) (10.1016/j.cam.2017.09.035)

42. On the distance from a matrix polynomial to matrix polynomials with some prescribed eigenvalues

E. Kokabifar, P.J. Psarrakos, Ghasem Barid Loghmani (2018), Linear algebra and its applications , 544(), 158-185 (No: 16972) (10.1016/j.laa.2018.01.010)

43. Shape modeling based on specifying the initial b-spline curve and scaled bfgs optimization method

Alireza Ebrahimi, Ghasem Barid Loghmani (2018), Multimedia tools and applications , 77(), 30331-30351 (No: 19219) (10.1007/s11042-018-6109-z)

44. Numerical solution of some initial optimal control problems using the reproducing kernel hilbert space technique

Fereshteh Toutian Esfahani, R. Mokhtari, Ghasem Barid Loghmani, M. Mohammadi (2018), International journal of control , (1), 1-8 (No: 19222) (10.1080/00207179.2018.1506888)

45. Image zooming using barycentric rational interpolation

Ali mohammad Esmaili zeyni, Ghasem Barid Loghmani, Ali Mohammad Latif, Seyed Mehdi Karbassi (2018), Journal of mathematical extension , 12(4), 67-86 (No: 15909)

46. Image magnification by least squares surfaces

Ali mohammad Esmaili zeyni, Ghasem Barid Loghmani, Ali Mohammad Latif (2017), Iranian journal of numerical analysis and optimization , 7(2), 1-14 (No: 15908)

47. A numerical study of electrohydrodynamic ow analysis in a circular cylindrical conduit using orthonormal bernstein polynomials

Ehsan Hosseini Bafroei, Ghasem Barid Loghmani, Mohammad Heydari, Majid Wazwaz Abdul (2017), Computational methods for differential equations , 5(4), 280-300 (No: 15994)

48. Investigation of magneto-hemodynamic flow in a semi-porous channel using orthonormal bernstein polynomials

Ehsan Hosseini Bafroei, Ghasem Barid Loghmani, Mohammad Heydari, M. M. Rashidi (2017), European physical journal plus , 132(), - (No: 16914)

49. Numerical investigation of the beam-type nano-electrostatic actuator model by using the birkhoff interpolation method

, Mohammad Heydari, Ghasem Barid Loghmani, Abdul-Majid Wazwaz (2017), International journal of applied and computational mathematics , 3(), 129-146 (No: 17042) (10.1007/s40819-017-0417-2)

50. Numerical investigation of velocity slip and temperature jump effects on unsteady flow over a stretching permeable surface

Ehsan Hosseini Bafroei, Ghasem Barid Loghmani, Mohammad Heydari, Mohammad Mehdi Rashidi (2017), European physical journal plus , 132(), - (No: 15047)

51. A numerical approach for a class of astrophysics equations using piecewise spectral-variational iteration method

Mohammad Heydari, Ghasem Barid Loghmani, Abdul-Majid Wazwaz (2017), International journal of numerical methods for heat and fluid flow , 27(), 358-378 (No: 17043) (10.1108/HFF-09-2015-0379)

52. Nearest matrix with prescribed eigenvalues and its applications

Esmaeil Kokabifar, Ghasem Barid Loghmani, Seyed Mehdi Karbassi (2016), Journal of computational and applied mathematics , 298(), 53-63 (No: 9845) (10.1016/j.cam.2015.11.031)

53. On the distance from a matrix polynomial to matrix polynomials with k prescribed distinct eigenvalue

Esmaeil Kokabifar, Ghasem Barid Loghmani, P. J. Psarrakos, S. M. Karbassi (2016), Linear and multilinear algebra , 65(), 1-19 (No: 13117) (10.1080/03081087.2016.1202181)

55. On the distance from a weakly normal matrix polynomial to matrix polynomials with a prescribed multiple eigenvalue

Esmaeil Kokabifar, Ghasem Barid Loghmani, Panayiotis Psarrakos (2016), The electronic journal of linear algebra (ela) , 31(), - (No: 13118)

56. Wavelets galerkin method for solving stochastic heat equation

, Mohammad Reza Hooshmandasl, Ghasem Barid Loghmani, Carlo Cattani (2015), International journal of computer mathematics , 92(), 1-18 (No: 9125)

57. A numericalstudyforoff-centeredstagnation flow towards arotatingdisc

, Ghasem Barid Loghmani, , (2015), Propulsion and power research , 4(3), 169-178 (No: 9828)

58. Exponential bernstein functions an effective tool for the solution of heat transfer of a micropolar fluid through a porous medium with radiation

, Ghasem Barid Loghmani, S. M. Hosseini (2015), Computational and applied mathematics , 2(), 1-29 (No: 9840) (10.1007/s40314-015-0251-2)

59. An improved piecewise variational iteration method for solving strongly nonlinear oscillators

, Ghasem Barid Loghmani, S. M. Hosseini (2015), Computational and applied mathematics , 34(), 215-249 (No: 9842) (10.1007/s40314-014-0113-3)

60. On the distance from a matrix polynomial to matrix polynomials with two prescribed eigenvalues

Esmaeil Kokabifar, Ghasem Barid Loghmani, , Seyed Mehdi Karbassi (2015), Wavelets and linear algebra , 2(1), 25-38 (No: 9860)

61. Numerical study of generalized three-dimensional mhd flow over a porous stretching sheet

, Ghasem Barid Loghmani, Ali Akbar Dehghan (2014), Journal of applied fluid mechanics , 7(3), 473-483 (No: 7224)

62. Application of hybrid functions for solving duffing-harmonic oscillator

, Ghasem Barid Loghmani, Seyed Mohammad Hosseini, Seyed Mehdi Karbassi (2014), Journal of differential equations , 2014(), 1-12 (No: 7990)

63. A combination of pseudo-spectral method and extrapolation for solving mhd flow and heat transfer about a rotating disk

, Ghasem Barid Loghmani, Ali Akbar Dehghan (2014), Iranian journal of science and technology-transactions of mechanical engineering , 38(M1), 25-44 (No: 7992)

64. Smooth solution of partial integro-differential equations using radial basis functions

, Mohammad Heydari, Wen Chen, Ghasem Barid Loghmani (2014), Journal of applied analysis and computation , 4(2), 115-127 (No: 10253)

65. Third-order and fourth-order iterative methods free from second derivative for finding multiple roots of nonlinear equations

Mohammad Heydari, Ghasem Barid Loghmani (2014), Caspian journal of mathematical scinnce , 3(1), 67-85 (No: 10258)

66. Numerical solution of reynolds equation governing noncircular gas bearing system using radial basis function

, , Seyed Mehdi Karbassi, Ghasem Barid Loghmani (2014), Iranian journal of science and technology transaction a-science , 38(), 389-397 (No: 7834)

67. Solution of time fractional diffusion equations using a semi-discrete scheme and collocation method based on chebyshev polynomials

, Ghasem Barid Loghmani (2013), Iranian journal of science and technology transaction a-science , 37(1), 23-28 (No: 7955)

68. An optimal control approach for arbitrary order singularly perturbed boundary value problems

, Ghasem Barid Loghmani (2013), Iranian journal of science and technology transaction a-science , 37(3), 379-388 (No: 7956)

69. A novel hybrid spectral-variational iteration method (h-s-vim) for solving nonlinear equations arising in heat transfer

, Ghasem Barid Loghmani, Seyed Mohammad Hosseini, (2013), Iranian journal of science and technology transaction a-science , 37(4), 501-512 (No: 7957)

70. Numerical approximation for space fractional diffusion equations via chebyshev finite difference method

, Ghasem Barid Loghmani (2013), Journal of fractional calculus and applications , 4(2), 315-323 (No: 7958)

71. Operational matrices of chebyshev cardinal functions and their application for solving delay differential equations arising in electrodynamics with error estimation

, Ghasem Barid Loghmani, Mohammad Hoseini (2013), Applied mathematical modelling , 37(), 7789-7809 (No: 7987)

72. Numerical solution of fredholm integral equations of the second kind by using integral mean value theorem ii. high dimensional problems

Mohammad Heydari, , Hamid Reza Navabpour, Ghasem Barid Loghmani (2013), Applied mathematical modelling , 37(), 432-442 (No: 13083) (10.1016/j.apm.2012.03.011)

73. A numerical solution of nonlinear parabolic-type volterra partial integro-differential equations using radial basis functions

, , Farid Mohammad Maalek Ghaini, Ghasem Barid Loghmani (2012), Engineering analysis with boundary elements , 36(), 881-893 (No: 1590)

74. Numerical solution of singular ivps of lane-emden type using integral operator and radial basis functions

Mohammad Heydari, Seyed mohammad Hosseini, Ghasem Barid Loghmani (2012), International journal of industrial mathematics , 4(2), 135-146 (No: 13420)

75. B-spline solution of boundary value problems of fractional order based on optimal control strategy

, Ghasem Barid Loghmani, Mohammad Reza Hooshmandasl, Akbar Dehghan Nejad (2012), Journal of sciences islamic republic of iran , 23(1), 59-65 (No: 3193)

76. Numerical solution of fredholm integral equations of the second kind by using integral mean value theorem

, , Ghasem Barid Loghmani (2011), Applied mathematical modelling , 35(), 2374-2383 (No: 1570)

77. A semi-discrete scheme for solving nonlinear hyperbolic-type partial integro-differential equations using radial basis functions

, Z. Beygi Rizi, Farid Mohammad Maalek Ghaini, Ghasem Barid Loghmani (2011), Journal of mathematical physics , 52(), 063520-1-063520-16 (No: 1572)

78. On two new families of iterative methods for solving nonlinear equations with optimal order

, , Ghasem Barid Loghmani (2011), Applicable analysis and discrete mathematics , 5(), 93-109 (No: 1571)

79. Approximate solution to boundary value problems by the modified vim

, Ghasem Barid Loghmani (2010), Iranian journal of science and technology transaction a-science , 34(2), 161-167 (No: 1567)

80. Application of least square method to arbitrary-order problems with separated boundary conditions

Ghasem Barid Loghmani (2007), Journal of computational and applied mathematics , 222(), 500-510 (No: 517)

81. Splines and anti-periodic boundary value problems

Ahmadinia Mahdi, Ghasem Barid Loghmani (2007), International journal of computer mathematics , 84(12), 1843-1850 (No: 523)

82. Numerical solution of fourth-order problems with separated boundary conditions

Ghasem Barid Loghmani, Said Rohollah Alavizadeh (2007), Applied mathematics and computation , 191(), 571-581 (No: 524)

83. Numerical solution of sixth order boundary value problems with sixth degree b-spline functions

Ghasem Barid Loghmani, Ahmadinia Mahdi (2007), Applied mathematics and computation , 186(), 992-999 (No: 525)