| 1 | A local meshless method for numerical simulation of dendritic crystal growth | Mohammad Ilati | Mathematical Researches | 2023 |
| 2 | Fourth-order exponential time differencing Runge–Kutta scheme and local meshless method to investigate unsteady diffusion–convection problems of anisotropic functionally graded materials | Mohammad Ilati - Mostafa Abbaszadeh | International Journal of Computer Mathematics | 2024 |
| 3 | A radial basis function-Hermite finite difference (RBF-HFD) method for the cubic-quintic complex Ginzburg–Landau equation | Majid Haghi - Mohammad Ilati - Mehdi Dehghan | Computational and Applied Mathematics | 2023 |
| 4 | A fourth order compact difference method for the nonlinear time fractional fourth order reaction–diffusion equation | Majid Haghi - Mohammad Ilati - Mehdi Dehghan | Engineering with Computers | 2023 |
| 5 | A local meshless method for solving multi-dimensional Galilei invariant fractional advection–diffusion equation | Samira Eslami - Mohammad Ilati - Mehdi Dehghan | Engineering Analysis with Boundary Elements | 2022 |
| 6 | A meshless local moving Kriging method for solving Ginzburg-Landau equation on irregular domains | Mohammad Ilati | The European Physical Journal Plus | 2020 |
| 7 | DMLPG method for specifying a control function in two-dimensional parabolic inverse PDEs | Mohammad Ilati | Computers & Mathematics with Applications | 2020 |
| 8 | Analysis and application of the interpolating element-free Galerkin method for extended Fisher–Kolmogorov equation which arises in brain tumor dynamics modeling | Mohammad Ilati | Numerical Algorithms | 2020 |
| 9 | DMLPG method for numerical simulation of soliton collisions in multi-dimensional coupled damped nonlinear Schrödinger system which arises from Bose-Einstein condensates | Mohammad Ilati - Mehdi Dehghan | Applied Mathematics and Computation | 2019 |
| 10 | Error analysis of a meshless weak form method based on radial point interpolation technique for Sivashinsky equation arising in the alloy solidification problem | Mohammad Ilati - Mehdi Dehghan | Journal of Computational and Applied Mathematics | 2018 |
| 11 | Direct local boundary integral equation method for numerical solution of extended Fisher–Kolmogorov equation | Mohammad Ilati - Mehdi Dehghan | Engineering with Computers | 2018 |
| 12 | Application of direct meshless local Petrov–Galerkin (DMLPG) method for some Turing-type models | Mohammad Ilati - Mehdi Dehghan | Engineering with Computers | 2017 |
| 13 | Remediation of contaminated groundwater by meshless local weak forms | Mohammad Ilati - Mehdi Dehghan | Computers & Mathematics with Applications | 2016 |
| 14 | An interactive algorithm for solving multiobjective optimization problems based on a general scalarization technique | Mehrdad Ghaznavi - Mohammad Ilati - Esmaile Khorram | Iranian journal of numerical analysis and optimization | 2016 |
| 15 | The use of radial basis functions (RBFs) collocation and RBF-QR methods for solving the coupled nonlinear sine-gordon equations | Mohammad Ilati - Mehdi Dehghan | Engineering Analysis with Boundary Elements | 2015 |
| 16 | Meshless local weak form method based on a combined basis function for numerical investigation of Brusselator model and spike dynamics in the Gierer-Meinhardt system | Mohammad Ilati - Mehdi Dehghan | Computer Modeling in Engineering & Sciences | 2015 |