Papers in Journals
- 1. Mohammad Ilati،A local meshless method for numerical simulation of dendritic crystal growth،Mathematical Researches،۲۰۲۳.
- 2. Mohammad Ilati,A local radial basis function-compact finite difference method for Sobolev equation arising from fluid dynamics,Engineering Analysis with Boundary Elements,2024.
- 3. Mohammad Ilati ,& Mostafa Abbaszadeh,Fourth-order exponential time differencing Runge–Kutta scheme and local meshless method to investigate unsteady diffusion–convection problems of anisotropic functionally graded materials,International Journal of Computer Mathematics,2024.
- 4. Majid Haghi , Mohammad Ilati , Mehdi Dehghan,A radial basis function-Hermite finite difference (RBF-HFD) method for the cubic-quintic complex Ginzburg–Landau equation,Computational and Applied Mathematics,Vol. 42,pp. 115,2023.
- 5. Majid Haghi , Mohammad Ilati , Mehdi Dehghan,A fourth order compact difference method for the nonlinear time fractional fourth order reaction–diffusion equation,Engineering with Computers,2023.
- 6. Samira Eslami , Mohammad Ilati , Mehdi Dehghan,A local meshless method for solving multi-dimensional Galilei invariant fractional advection–diffusion equation,Engineering Analysis with Boundary Elements,Vol. 143,pp. 283-292,2022.
- 7. Mohammad Ilati,Analysis and application of the interpolating element-free Galerkin method for extended Fisher–Kolmogorov equation which arises in brain tumor dynamics modeling,Numerical Algorithms,Vol. 85,pp. 485-502,2020.
- 8. Mohammad Ilati,DMLPG method for specifying a control function in two-dimensional parabolic inverse PDEs,Computers & Mathematics with Applications,Vol. 80,pp. 604-616,2020.
- 9. Mohammad Ilati,A meshless local moving Kriging method for solving Ginzburg-Landau equation on irregular domains,The European Physical Journal Plus,Vol. 135,pp. 873,2020.
- 10. Mohammad Ilati ,& Mehdi Dehghan,DMLPG method for numerical simulation of soliton collisions in multi-dimensional coupled damped nonlinear Schrödinger system which arises from Bose-Einstein condensates,Applied Mathematics and Computation,Vol. 346,pp. 244-253,2019.
- 11. Mohammad Ilati ,& Mehdi Dehghan,Error analysis of a meshless weak form method based on radial point interpolation technique for Sivashinsky equation arising in the alloy solidification problem,Journal of Computational and Applied Mathematics,2018.
- 12. Mohammad Ilati ,& Mehdi Dehghan,Direct local boundary integral equation method for numerical solution of extended Fisher–Kolmogorov equation,Engineering with Computers,2018.
- 13. Mohammad Ilati ,& Mehdi Dehghan,Application of direct meshless local Petrov–Galerkin (DMLPG) method for some Turing-type models,Engineering with Computers,2017.
- 14. Mohammad Ilati ,& Mehdi Dehghan,Remediation of contaminated groundwater by meshless local weak forms,Computers & Mathematics with Applications,2016.
- 15. Mehrdad Ghaznavi , Mohammad Ilati , Esmaile Khorram,An interactive algorithm for solving multiobjective optimization problems based on a general scalarization technique,Iranian journal of numerical analysis and optimization,2016.
- 16. Mohammad Ilati ,& Mehdi Dehghan,The use of radial basis functions (RBFs) collocation and RBF-QR methods for solving the coupled nonlinear sine-gordon equations,Engineering Analysis with Boundary Elements,2015.
- 17. Mohammad Ilati ,& Mehdi Dehghan,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,Computer Modeling in Engineering & Sciences,2015.
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