A wavelet approach for solving multi-term variable-order time fractional diffusion-wave equation

MH Heydari, Z Avazzadeh, MF Haromi - Applied Mathematics and …, 2019 - Elsevier
We firstly generalize a multi-term time fractional diffusion-wave equation to the multi-term
variable-order time fractional diffusion-wave equation (MV-TFD-E) by the concept of variable …

Fast algorithm based on TT-M FE system for space fractional Allen–Cahn equations with smooth and non-smooth solutions

B Yin, Y Liu, H Li, S He - Journal of Computational Physics, 2019 - Elsevier
In this article, a fast algorithm based on time two-mesh (TT-M) finite element (FE) scheme,
which aims at solving nonlinear problems quickly, is considered to numerically solve the …

Chebyshev cardinal wavelets for nonlinear stochastic differential equations driven with variable-order fractional Brownian motion

MH Heydari, Z Avazzadeh, MR Mahmoudi - Chaos, Solitons & Fractals, 2019 - Elsevier
This paper is concerned with a computational approach based on the Chebyshev cardinal
wavelets for a novel class of nonlinear stochastic differential equations characterized by the …

Chebyshev polynomials for generalized Couette flow of fractional Jeffrey nanofluid subjected to several thermochemical effects

R Roohi, MH Heydari, O Bavi, H Emdad - Engineering with Computers, 2021 - Springer
The generalized Couette flow of Jeffrey nanofluid through porous medium, subjected to the
oscillating pressure gradient and mixed convection, is numerically simulated using variable …

A computational method for solving variable-order fractional nonlinear diffusion-wave equation

MH Heydari, Z Avazzadeh, Y Yang - Applied Mathematics and …, 2019 - Elsevier
In this paper, we generalize a one-dimensional fractional diffusion-wave equation to a one-
dimensional variable-order space-time fractional nonlinear diffusion-wave equation (V-OS …

Orthonormal shifted discrete Legendre polynomials for solving a coupled system of nonlinear variable-order time fractional reaction-advection-diffusion equations

MH Heydari, Z Avazzadeh, A Atangana - Applied Numerical Mathematics, 2021 - Elsevier
In this paper, we generalize a coupled system of nonlinear reaction-advection-diffusion
equations to a variable-order fractional one by using the Caputo-Fabrizio fractional …

Numerical solution of nonlinear 2D optimal control problems generated by Atangana-Riemann-Liouville fractal-fractional derivative

MH Heydari - Applied Numerical Mathematics, 2020 - Elsevier
This paper is dedicated to introduce a new category of nonlinear 2D optimal control
problems (OCPs), generated by dynamical systems involved with fractal-fractional …

A meshfree approach for solving 2D variable-order fractional nonlinear diffusion-wave equation

Y Shekari, A Tayebi, MH Heydari - Computer Methods in Applied …, 2019 - Elsevier
This paper is concerned with the moving least squares (MLS) meshless approach for the
numerical solution of two-dimensional (2D) variable-order time fractional nonlinear diffusion …

Legendre wavelets optimization method for variable-order fractional Poisson equation

MH Heydari, Z Avazzadeh - Chaos, Solitons & Fractals, 2018 - Elsevier
In this study, the Poisson equation is generalized with the concept of variable-order (VO)
fractional derivatives called variable-order fractional Poisson equation (V-OFPE). In order to …

A computational wavelet method for variable-order fractional model of dual phase lag bioheat equation

M Hosseininia, MH Heydari, R Roohi… - Journal of Computational …, 2019 - Elsevier
In this study, we focus on the mathematical model of hyperthermia treatment as one the most
constructive and effective procedures. Considering the sophisticated nature of involving …