Affiliation of Author(s):数学学院

Journal:Applied Numerical Mathematics

Key Words:Two-dimensional nonlinear time fractional diffusion-wave equation; Optimal error estimate; Crank-Nicolson method; Legendre spectral method

Abstract:In this paper, we develop a Crank-Nicolson Legendre spectral method for solving the two-dimensional nonlinear time fractional diffusion-wave equation in bounded rectangular domains. In terms of the error splitting argument technique, an optimal error estimate of the numerical scheme is obtained without any time-step size conditions, while the usual analysis for high dimensional nonlinear fractional problems always required certain time-step restrictions dependent on the spatial mesh size. Some numerical results are given to justify the theoretical analysis. (C) 2019 IMACS. Published by Elsevier B.V. All rights reserved.

All the Authors:zhanghui,Jiang Xiaoyun

First Author:张慧

Indexed by:Unit Twenty Basic Research

Document Code:9CB0BCB610AE422C9B0DB1051E8AFB95

Discipline:Natural Science

First-Level Discipline:Mathematics

Volume:146

Page Number:1-12

Translation or Not:no

Date of Publication:2019-12-01

Included Journals:SCI