| ۱ | A combined adaptive control parametrization and homotopy continuation technique for the numerical solution of bang-bang optimal control problems | M. A. Mehrpouya, M. Shamsi and M. Razzaghi | The ANZIAM Journal | 2014 |
| ۲ | A design for a yoke to detect a notch on edge by using magnetic flux leakage method | H. Heidary, M. A. Mehrpouya, A. Ghalee and A. R. Oskouei | The European Physical Journal Plus | 2021 |
| ۳ | A modified control parametrization method for the numerical solution of bang-bang optimal control problems | M. A. Mehrpouya and Sh. Fallahi | Journal of Vibration and Control | 2015 |
| ۴ | A modified pseudospectral method for indirect solving a class of switching optimal control problems | M. A. Mehrpouya | Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineeringg | 2020 |
| ۵ | A numerical scheme based on the collocation and optimization methods for accurate solution of sensitive boundary value problems | M. A. Mehrpouya, R. Salehi | The European Physical Journal Plus | 2021 |
| ۶ | A robust pseudospectral method for numerical solution of nonlinear optimal control problems | M.A. Mehrpouya, H. Peng | International Journal of Computer Mathematics | 2021 |
| ۷ | An efficient computational approach for numerical solution of non-smooth dynamical systems | Mohammad Ali Mehrpouya, Hossein Heidary | AUT Journal of Mathematics and Computing | 2023 |
| ۸ | An efficient numerical solution for time switching optimal control problems | M.A. Mehrpouya, M. Khaksar-e Oshagh | Computational Methods for Differential Equations | 2021 |
| ۹ | An efficient pseudospectral method for numerical solution of nonlinear singular initial and boundary value problems arising in astrophysics | Mohammad Ali Mehrpouya | Mathematical Methods in the Applied Sciences | 2016 |
| ۱۰ | An efficient solution of hamiltonian boundary value problems by combined gauss pseudospectral method with differential continuation approach | M. A. Mehrpouya, M. Shamsi and V. Azhmyakov | Journal of the Franklin Institute | 2014 |
| ۱۱ | Critical thrust force and feed rate determination in drilling of GFRP laminate with backup plate | H. Heidary, M. A. Mehrpouya, H. Saghafi and G. Minak | Structural Engineering and Mechanics | 2020 |
| ۱۲ | Effect of backup plate in drilling of composite laminates, analytical and experimental approaches | H. Heidary, M. A. Mehrpouya | Thin-Walled Structures | 2019 |
| ۱۳ | Nonlinear bending analysis of composite plates using mesh free method and Legendre basis functions | S.A.M. Ghannadpour, M.A. Mehrpouya and P. Kiani | Aerospace Knowledge and Technology Journal | 2016 |
| ۱۴ | Numerical differential continuation approach for systems of nonlinear equations with singular Jacobian | Mohammad Ali Mehrpouya | AUT Journal of Mathematics and Computing | 2022 |
| ۱۵ | Post-buckling of laminated plates using collocation method and Legendre basis functions | S. A. M. Ghannadpour, M. A. Mehrpouya and P. Kiani | Modares Mechanical Engineering | 2016 |
| ۱۶ | The development of new comprehensive kinetic modeling for Fischer-Tropsch synthesis process over Co-Ru/γ-Al2O3 catalyst in a fixed-bed reactor | A. Mosayebi, M. A. Mehrpouya, and R. Abedini | Chemical Engineering Journal | 2016 |
| ۱۷ | The use of the trapezoidal method for solving the Tacoma Narrows Bridge model | Mohammad Ali Mehrpouya, Mehdi Shahini | International Journal of Nonlinear Analysis and Applications | 2023 |
| ۱۸ | Transformed Legendre spectral method for solving infinite horizon optimal control problems | M. Shahini, M.A. Mehrpouya | IMA Journal of Mathematical Control and Information | 2018 |
| ۱۹ | Transformed orthogonal functions for solving infinite horizon fractional optimal control problems | M. Shahini, M. A. Mehrpouya | European Journal of Control | 2021 |
| ۲۰ | ارائه یک روش عددی از مرتبه دقت بالا برای حل معادلات دیفرانسیل-جبری ظاهر شده در سیستمهای مکانیکی | فائزه کلانتری، محمدعلی مهرپویا، نبی چگینی | نشریه علوم کاربردی و محاسباتی در مکانیک | 1402 |