On numerical solution of the time-fractional diffusion-wave equation with the fictitious time integration method

被引：17

作者：

Hashemi, M. S. ^{[1
]}

Inc, Mustafa ^{[2
]}

Parto-Haghighi, M. ^{[1
]}

Bayram, Mustafa ^{[3
]}

机构：

[1] Univ Bonab, Basic Sci Fac, Dept Math, POB 55517-61167, Bonab, Iran

[2] Firat Univ, Sci Fac, Dept Math, Elazig, Turkey

[3] Gelisim Univ, Dept Comp Engn, Istanbul, Turkey

来源：

EUROPEAN PHYSICAL JOURNAL PLUS | 2019年 / 134卷 / 10期

关键词：

LIE SYMMETRY ANALYSIS; DIFFERENTIAL-EQUATIONS; FUNDAMENTAL-SOLUTIONS; BOUSSINESQ; SOLVE;

D O I：

10.1140/epjp/i2019-12845-1

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

.In this work we offer a robust numerical algorithm based on the Lie group to solve the time-fractional diffusion-wave (TFDW) equation. Firstly, we use a fictitious time variable xi to convert the related variable u(x, t) into a new space with one extra dimension. Then by using a composition of the group preserving scheme (GPS) and a semi-discretization of new variable, we approximate the solutions of the problem. Finally, various numerical experiments are performed to illustrate the power and accuracy of the given method.

引用

页数：8

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