Numerical solution of two-sided space-fractional wave equation using finite difference method
β Scribed by N.H. Sweilam; M.M. Khader; A.M. Nagy
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 681 KB
- Volume
- 235
- Category
- Article
- ISSN
- 0377-0427
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β¦ Synopsis
a b s t r a c t
In this paper, a class of finite difference method for solving two-sided space-fractional wave equation is considered. The stability and consistency of the method are discussed by means of Gerschgorin theorem and using the stability matrix analysis. Numerical solutions of some wave fractional partial differential equation models are presented. The results obtained are compared to exact solutions.
π SIMILAR VOLUMES
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## Abstract In this article, we apply compact finite difference approximations of orders two and four for discretizing spatial derivatives of wave equation and collocation method for the time component. The resulting method is unconditionally stable and solves the wave equation with high accuracy.