A superlinear convergence scheme for the multi‐term and distribution‐order fractional wave equation with initial singularity-Reference-Cited by-同舟云学术

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A superlinear convergence scheme for the multi‐term and distribution‐order fractional wave equation with initial singularity

Published:2021-01-22 Issue:4 Volume:37 Page:2833-2848
ISSN:0749-159X
Container-title:Numerical Methods for Partial Differential Equations
language:en
Short-container-title:Numer Methods Partial Differential Eq.

Author:

Huang Jianfei¹^ORCID,Zhang Jingna¹,Arshad Sadia²,Tang Yifa³⁴

Affiliation:

1. College of Mathematical Sciences Yangzhou University Yangzhou China

2. COMSATS University Islamabad, Lahore Campus Lahore Pakistan

3. LSEC, ICMSEC, Academy of Mathematics and Systems Science Chinese Academy of Sciences Beijing China

4. School of Mathematical Sciences University of Chinese Academy of Sciences Beijing China

Funder

National Natural Science Foundation of China

Publisher

Wiley

Subject

Applied Mathematics,Computational Mathematics,Numerical Analysis,Analysis

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/num.22773

Reference33 articles.

1. Numerical Methods for Fractional Calculus

2. Numerical methods for time-fractional evolution equations with nonsmooth data: A concise overview

3. Sharp Error Estimate of the Nonuniform L1 Formula for Linear Reaction-Subdiffusion Equations

4. Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation

5. Fractional Equations and Models

Cited by 4 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 Compact Difference Scheme for Time-Space Fractional Nonlinear Diffusion-Wave Equations with Initial Singularity;ADV APPL MATH MECH;2023

2. Numerical method for solving the fractional evolutionary model of bi-flux diffusion processes;International Journal of Computer Mathematics;2023-01-06

3. A linearized finite difference scheme for time–space fractional nonlinear diffusion-wave equations with initial singularity;International Journal of Nonlinear Sciences and Numerical Simulation;2022-10-06

4. EFFICIENT NUMERICAL SOLUTION OF TWO-DIMENSIONAL TIME-SPACE FRACTIONAL NONLINEAR DIFFUSION-WAVE EQUATIONS WITH INITIAL SINGULARITY;Journal of Applied Analysis & Computation;2022

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