A semi-linear delayed diffusion-wave system with distributed order in time

被引：20
|
作者：
Hendy, A. S. [1 ,4 ]
De Staelen, R. H. [3 ]
Pimenov, V. G. [2 ,4 ]
机构：
[1] Benha Univ, Dept Math, Fac Sci, Banha 13511, Egypt
[2] RAS, Ural Branch, Dept Computat Math & Comp Sci, Inst Nat Sci & Math, Ekaterinburg 620000, Russia
[3] Univ Ghent, Dept Math Anal, B-9000 Ghent, Belgium
[4] Ural Fed Univ, Inst Math & Comp Sci, Dept Computat Math, Ekaterinburg 620002, Russia
来源：
NUMERICAL ALGORITHMS | 2018年 / 77卷 / 03期
基金：
比利时弗兰德研究基金会;
关键词：
Distributed order fractional diffusion-wave equations; Linear difference scheme; Discrete energy method; Delayed partial differential equations; Convergence; Stability; COMPACT DIFFERENCE SCHEME; POPULATION-MODEL; BOUNDED DOMAINS; EQUATIONS;
D O I：
10.1007/s11075-017-0344-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A numerical scheme for a class of non-linear distributed order fractional diffusion-wave equations with fixed time-delay is considered. The focus lies on the derivation of a linearized compact difference scheme as well as on quantitatively analyzing it. We prove unique solvability, convergence, and stability of the resulted numerical solution in -norm by means of the discrete energy method. Numerical examples are introduced to illustrate the accuracy and efficiency of the proposed method.
引用
收藏
页码：885 / 903
页数：19
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