Finite difference/finite element method for a novel 2D multi-term time-fractional mixed sub-diffusion and diffusion-wave equation on convex domains

L Feng, F Liu, I Turner - … in Nonlinear Science and Numerical Simulation, 2019 - Elsevier
In this work, a novel two-dimensional (2D) multi-term time-fractional mixed sub-diffusion and
diffusion-wave equation on convex domains will be considered. Different from the general …

A high-order unconditionally stable numerical method for a class of multi-term time-fractional diffusion equation arising in the solute transport models

MP Alam, A Khan, D Baleanu - International Journal of Computer …, 2023 - Taylor & Francis
In this paper, we study a high-order unconditionally stable numerical method to approximate
the class of multi-term time-fractional diffusion equations. This type of problem appears in …

Computational scheme for solving nonlinear fractional stochastic differential equations with delay

BP Moghaddam, A Mendes Lopes… - Stochastic Analysis …, 2019 - Taylor & Francis
This paper studies the numerical solution of fractional stochastic delay differential equations
driven by Brownian motion. The proposed algorithm is based on linear B-spline …

A numerical method for two-dimensional multi-term time-space fractional nonlinear diffusion-wave equations

J Huang, J Zhang, S Arshad, Y Tang - Applied Numerical Mathematics, 2021 - Elsevier
Recently, numerous numerical schemes have been developed for solving single-term time-
space fractional diffusion-wave equations. Among them, some popular methods were …

Modified Fractional Reduced Differential Transform Method for the Solution of Multiterm Time‐Fractional Diffusion Equations

S Abuasad, I Hashim… - … in Mathematical Physics, 2019 - Wiley Online Library
In this study, we introduce a new modification of fractional reduced differential transform
method (m‐FRDTM) to find exact and approximate solutions for nonhomogeneous linear …

Temporal second-order difference methods for solving multi-term time fractional mixed diffusion and wave equations

R Du, Z Sun - Numerical Algorithms, 2021 - Springer
This article deals with an establishment and sharp theoretical analysis of a numerical
scheme devised for solving the multi-dimensional multi-term time fractional mixed diffusion …

An alternating direction implicit spectral method for solving two dimensional multi-term time fractional mixed diffusion and diffusion-wave equations

Z Liu, F Liu, F Zeng - Applied Numerical Mathematics, 2019 - Elsevier
In this paper, we consider the initial boundary value problem of the two dimensional multi-
term time fractional mixed diffusion and diffusion-wave equations. An alternating direction …

A second-order L2-1σ Crank-Nicolson difference method for two-dimensional time-fractional wave equations with variable coefficients

YM Wang, ZY Zheng - Computers & Mathematics with Applications, 2022 - Elsevier
Based on quadratic and linear polynomial interpolation approximations and the Crank-
Nicolson technique, a new second-order difference approximation method of the Caputo …

Compact scheme for fractional diffusion-wave equation with spatial variable coefficient and delays

Q Zhang, L Liu, C Zhang - Applicable Analysis, 2022 - Taylor & Francis
In this paper, we study the spatial variable coefficient fractional convection–diffusion wave
equation with the singe delay and multi-delay numerically when the exact solution satisfies a …

Approximate solution of the multi-term time fractional diffusion and diffusion-wave equations

J Rashidinia, E Mohmedi - Computational and Applied Mathematics, 2020 - Springer
We develop a numerical scheme for finding the approximate solution for one-and two-
dimensional multi-term time fractional diffusion and diffusion-wave equations considering …