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.
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页数：8
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