Meshfree moving least squares method for nonlinear variable-order time fractional 2D telegraph equation involving Mittag–Leffler non-singular kernel M Hosseininia, MH Heydari Chaos, Solitons & Fractals 127, 389-399, 2019 | 43 | 2019 |
Two-dimensional Legendre wavelets for solving variable-order fractional nonlinear advection-diffusion equation with variable coefficients M Hosseininia, MH Heydari, Z Avazzadeh, FM Maalek Ghaini International Journal of Nonlinear Sciences and Numerical Simulation 19 (7-8 …, 2018 | 40 | 2018 |
Legendre wavelets for the numerical solution of nonlinear variable-order time fractional 2D reaction-diffusion equation involving Mittag–Leffler non-singular kernel M Hosseininia, MH Heydari Chaos, Solitons & Fractals 127, 400-407, 2019 | 39 | 2019 |
A wavelet method to solve nonlinear variable-order time fractional 2D Klein–Gordon equation M Hosseininia, MH Heydari, FMM Ghaini, Z Avazzadeh Computers & Mathematics with Applications 78 (12), 3713-3730, 2019 | 36 | 2019 |
A new variable-order fractional derivative with non-singular Mittag–Leffler kernel: application to variable-order fractional version of the 2D Richard equation MH Heydari, M Hosseininia Engineering with Computers 38 (2), 1759-1770, 2022 | 34 | 2022 |
SARS-CoV-2 rate of spread in and across tissue, groundwater and soil: A meshless algorithm for the fractional diffusion equation O Bavi, M Hosseininia, MH Heydari, N Bavi Engineering analysis with boundary elements 138, 108-117, 2022 | 32 | 2022 |
A meshless method to solve nonlinear variable-order time fractional 2D reaction–diffusion equation involving Mittag-Leffler kernel M Hosseininia, MH Heydari, J Rouzegar, C Cattani Engineering with computers 37 (1), 731-743, 2021 | 22 | 2021 |
Numerical study of the variable-order fractional version of the nonlinear fourth-order 2D diffusion-wave equation via 2D Chebyshev wavelets M Hosseininia, MH Heydari, Z Avazzadeh Engineering with Computers 37 (4), 3319-3328, 2021 | 20 | 2021 |
A hybrid method based on the orthogonal Bernoulli polynomials and radial basis functions for variable order fractional reaction-advection-diffusion equation M Hosseininia, MH Heydari, Z Avazzadeh, FMM Ghaini Engineering Analysis with Boundary Elements 127, 18-28, 2021 | 17 | 2021 |
The numerical treatment of nonlinear fractal–fractional 2d Emden–fowler equation utilizing 2d Chelyshkov polynomials M Hosseininia, MH Heydari, Z Avazzadeh Fractals 28 (08), 2040042, 2020 | 16 | 2020 |
An efficient wavelet-based approximation method for the coupled nonlinear fractal–fractional 2D Schrödinger equations MH Heydari, M Hosseininia, Z Avazzadeh Engineering with Computers 37 (3), 2129-2144, 2021 | 15 | 2021 |
Glioblastoma multiforme growth prediction using a Proliferation-Invasion model based on nonlinear time-fractional 2D diffusion equation O Bavi, M Hosseininia, M Hajishamsaei, MH Heydari Chaos, Solitons & Fractals 170, 113393, 2023 | 14 | 2023 |
A wavelet method for nonlinear variable-order time fractional 2D Schrödinger equation M Hosseininia, MH Heydari, C Cattani Discrete and Continuous Dynamical Systems-S 14 (7), 2273-2295, 2021 | 13 | 2021 |
A meshless approach for solving nonlinear variable-order time fractional 2D Ginzburg-Landau equation MH Heydari, M Hosseininia, A Atangana, Z Avazzadeh Engineering Analysis with Boundary Elements 120, 166-179, 2020 | 13 | 2020 |
A meshless technique based on the moving least squares shape functions for nonlinear fractal-fractional advection-diffusion equation M Hosseininia, MH Heydari, FMM Ghaini, Z Avazzadeh Engineering Analysis with Boundary Elements 127, 8-17, 2021 | 12 | 2021 |
A numerical method based on the Chebyshev cardinal functions for variable‐order fractional version of the fourth‐order 2D Kuramoto‐Sivashinsky equation M Hosseininia, MH Heydari, MR Hooshmandasl, FM Maalek Ghaini, ... Mathematical Methods in the Applied Sciences 44 (2), 1831-1842, 2021 | 12 | 2021 |
Orthonormal shifted discrete Legendre polynomials for the variable-order fractional extended Fisher–Kolmogorov equation M Hosseininia, MH Heydari, Z Avazzadeh Chaos, Solitons & Fractals 155, 111729, 2022 | 10 | 2022 |
A numerical method for variable‐order fractional version of the coupled 2D Burgers equations by the 2D Chelyshkov polynomials M Hosseininia, MH Heydari, FM Maalek Ghaini Mathematical Methods in the Applied Sciences 44 (8), 6482-6499, 2021 | 10 | 2021 |
A wavelet approach for the variable-order fractional model of ultra-short pulsed laser therapy R Roohi, M Hosseininia, MH Heydari Engineering with Computers, 1-16, 2021 | 9 | 2021 |
A hybrid approach established upon the Müntz‐Legender functions and 2D Müntz‐Legender wavelets for fractional Sobolev equation. M Hosseininia, MH Heydari, Z Avazzadeh Mathematical Methods in the Applied Sciences 45 (9), 2022 | 7 | 2022 |