Integrated radial basis function technique to simulate the nonlinear system of time fractional distributed-order diffusion equation with graded time-mesh discretization-Reference-Cited by-同舟云学术

Integrated radial basis function technique to simulate the nonlinear system of time fractional distributed-order diffusion equation with graded time-mesh discretization

Published:2023-11 Issue: Volume:156 Page:57-69
ISSN:0955-7997
Container-title:Engineering Analysis with Boundary Elements
language:en
Short-container-title:Engineering Analysis with Boundary Elements

Author:

Abbaszadeh Mostafa^ORCID,Salec AliReza Bagheri,Jebur Alaa Salim

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics,General Engineering,Analysis

Reference50 articles.

1. Retarding subdiffusion and accelerating superdiffusion governed by distributed-order fractional diffusion equations;Chechkin;Phys Rev E,2002

2. Applications of distributed-order fractional operators: A review;Ding;Entropy,2021

3. Existence and calculation of the solution to the time distributed order diffusion equation;Atanackovic;Phys Scr,2009

4. Boundary value problems for the generalized time-fractional diffusion equation of distributed order;Luchko;Fract Calc Appl Anal,2009

5. A new operational matrix based on Müntz–Legendre polynomials for solving distributed order fractional differential equations;Pourbabaee;Math Comput Simulation,2022

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. A meshless approach based on fractional interpolation theory and improved neural network bases for solving non-smooth solution of 2D fractional reaction–diffusion equation with distributed order;Communications in Nonlinear Science and Numerical Simulation;2024-11

2. Computing compact finite difference formulas under radial basis functions with enhanced applicability;Applied Numerical Mathematics;2024-07

3. Simulation of Ginzburg–Landau equation via rational RBF partition of unity approach;Optical and Quantum Electronics;2023-12-08