1. Two modified cubic b-spline differential quadrature methods for solving one- and two-dimensional parabolic volterra partial integro-differential equations

Raziyeh Mirzahashemi, Mohammad Heydari (2026), Computational and applied mathematics , (45), 160-1-160-31 (No: 34997)

2. 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)

3. Numerical solutions of multidimensional nonlinear hyperbolic partial integro-differential equations using a redefined cubic b-spline-based differential quadrature method

Raziyeh Mirzahashemi, Mohammad Heydari (2025), Computers and mathematics with applications , 198(), 214-238 (No: 34135) (10.1016/j.camwa.2025.08.018)

4. Generalized model of a stochastic common property fishery differential game: a numerical study

, Mohammad Heydari (2025), Dynamic games and applications , 1(), 1-36 (No: 34136) (10.1007/s13235-025-00669-9)

5. The impacts of reward frequency and reward conditionality on sustainable use of common resources: a stochastic common property differential game model

, Mohammad Heydari, J. Engwerda (2025), Computational economics , 1(), 1-29 (No: 35178) (10.1007/s10614-025-11154-1)

6. 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)

7. A spectral iterative algorithm for solving constrained optimal control problems with nonquadratic functional

, Mohammad Heydari (2024), Applied numerical mathematics , 201(), 387-403 (No: 33049) (10.1016/j.apnum.2024.03.011)

8. 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)

9. 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)

10. 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)

14. 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)

15. 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)

16. An iterative nystrom-based method to solve nonlinear fredholm integral equations of the second kind

Soraya Torkaman, Mohammad Heydari (2023), Applied numerical mathematics , 194(), 59-81 (No: 29985) (10.1016/j.apnum.2023.08.009)

17. 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)

18. Numerical solution of hamilton-jacobi-bellman pdes in stochastic optimal control problems using fractional-order legendre collocation method

, Mohammad Heydari (2023), Journal of vibration and control , 1(1), 1-19 (No: 30549) (10.1177/10775463231217531)

19. 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)

20. 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)

21. 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)

22. 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)

23. 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)

24. 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)

25. 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)

26. 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)

27. Two modified adaptive cubic regularization algorithms by using the nonmonotone armijo-type line search

Tayebeh Dehghan niri, Mohammad Heydari, M. M. Hosseini (2022), Optimization , 72(), 1-24 (No: 27369) (10.1080/02331934.2022.2075746)

28. 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)

29. Haar wavelet method for solving high-order differential equations with multi-point boundary conditions

Mohammad Heydari, Zakieh Avazzadeh, Narges Hosseinzadeh (2022), Journal of applied and computational mechanics , 8(2), 528-544 (No: 24121)

30. A computational method for solving the system of hamilton-jacobi-bellman pdes in nonzero-sum fixed-final-time differential games

ZAHRA NIKOOEINEJAD, , Mohammad Heydari, ABDUL MAJID WAZWAZ (2021), Transactions of a. razmadze mathematical institute , 175(1), 83-100 (No: 24730)

31. 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)

32. 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)

33. 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)

34. 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)

35. 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)

36. 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)

37. 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)

38. 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)

39. Two nonmonotone trust region algorithms based on an improved newton method

Tayebeh Dehghan niri, Mohammad Heydari, M. M. Hosseini (2020), Journal of applied mathematics and computing , 64(), 179-194 (No: 24116) (10.1007/s12190-020-01350-7)

40. 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)

41. 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)

42. An improvement of adaptive cubic regularization method for unconstrained optimization problems

Tayebeh Dehghan niri, Mohammad Heydari, M. M. Hosseini (2020), International journal of computer mathematics , 97(), 1-17 (No: 24118) (10.1080/00207160.2020.1738406)

43. An efficient improvement of the newton method for solving nonconvex optimization problems

Tayebeh Dehghan niri, Mohammad Mehdi Hosseini, Mohammad Heydari (2019), Computational methods for differential equations , 7(1), 69-85 (No: 19744)

44. A two-step improved newton method to solve convex unconstrained optimization problems

Tayebeh Dehghan niri, Seyed Abolfazl Shahzadeh Fazeli, Mohammad Heydari (2019), Journal of applied mathematics and computing , 1(1), 1-17 (No: 20482) (10.1007/s12190-019-01272-z)

45. Nash equilibrium approximation of some class of stochastic differential games: a combined chebyshev spectral collocation method with policy iteration

Zahra Nikooeinezhad Yazdi, Mohammad Heydari (2019), Journal of computational and applied mathematics , 362(), 41-54 (No: 21717) (10.1016/j.cam.2019.05.014)

46. 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)

47. Numerical solution of itô-volterra integral equation by least squares method

M. Ahmadinia, H. Afshari A., Mohammad Heydari (2019), Numerical algorithms , 9(), 1-12 (No: 21720) (10.1007/s11075-019-00770-2)

48. An improvement of laguerre computational scheme for solving nonlinear age-structured population models

Zakieh Avazzadeh, Mohammad Heydari, Shantia Yarahmadian (2019), Journal of mathematics and computer science , 19(), 268-287 (No: 21740) (10.22436/jmcs.019.04.07)

49. 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)

50. 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)

51. Correction of trust region method with a new modified newton method

Tayebeh Dehghan niri, Mohammad Heydari, M. M. Hosseini (2019), International journal of computer mathematics , 96(), 1-15 (No: 21744) (10.1080/00207160.2019.1607844)

52. 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)

53. 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)

54. Numerical solution of nonlinear fuzzy volterra integral equations of the second kind for changing sign kernels

Fateme Saberirad, Seyed Mehdi Karbassi, Mohammad Heydari (2018), Soft computing , 1(1), - (No: 19294) (10.1007/s00500-018-3668-x)

55. Application of homotopy perturbation method for solving hybrid fuzzy differential equations

Fateme Saberirad, Seyed Mehdi Karbassi, Mohammad Heydari, Mohammad Mehdi Hosseini (2018), Journal of mathematical extension , 12(1), 113-145 (No: 19748)

56. A new modified trust region algorithm for solving unconstrained optimization problems

Tayebeh Dehghan niri, M. M. Hosseini, Mohammad Heydari (2018), Journal of mathematical extension , 12(4), 115-135 (No: 21746)

57. Application of shifted jacobi pseudospectral method for solving (in)finite-horizon minmax optimal control problems with uncertainty

Zahra Nikooeinezhad Yazdi, , Mohammad Heydari (2017), International journal of control , 13(), 1-15 (No: 15486) (10.1080/00207179.2017.1293297)

58. 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)

59. 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)

60. Haar wavelet method for solving nonlinear age-structured population models

Zakieh Avazzadeh, Mohammad Heydari (2017), International journal of biomathematics , 10(8), 1750114-1-1750114-21 (No: 17041) (10.1142/S1793524517501145)

61. 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)

62. 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)

63. 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)

64. A numerical solution of open-loop nash equilibrium in nonlinear differential games based on chebyshev pseudospectral method

Zahra Nikooeinezhad Yazdi, , Mohammad Heydari (2016), Journal of computational and applied mathematics , 300(), 369-384 (No: 11461) (10.1016/j.cam.2016.01.019)

65. The application of block pulse functions for solving higher-order differential equations with multi-point boundary conditions

Zakieh Avazzadeh, Mohammad Heydari (2016), Advances in difference equations , 2016(), 1-16 (No: 13082) (10.1186/s13662-016-0822-6)

66. Chebyshev cardinal functions for solving age-structured population models

Zakieh Avazzadeh, Mohammad Heydari (2016), International journal of applied and computational mathematics , 2(), 1-13 (No: 13439) (10.1007/s40819-016-0236-x)

67. An efficient modification of homotopy perturbation method for solving riccati differential equation in large domain

M. Abolhasani, Mohammad Heydari, Hossein Ghaneai (2016), Applied science reports (asr) , 15(3), 117-120 (No: 13440)

68. A numerical study for off-centeredstagnation flow towards arotatingdisc

Mohammad Heydari (2015), Propulsion and power research , 4(3), 169-178 (No: 15048)

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

Mohammad Heydari (2015), Computational and applied mathematics , (34), 215-249 (No: 15049)

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

Mohammad Heydari (2015), Computational and applied mathematics , 2(), 1-29 (No: 15050)

71. 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)

72. 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)

73. 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)

74. Improving homotopy perturbation method with optimal lagrange interpolation polynomials

E. Babolian, S.M. Hosseini, Mohammad Heydari (2012), Ain shams engineering journal , 3(), 305-311 (No: 13108) (10.1016/j.asej.2012.03.003)

75. 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)