Numerical approach for solving time fractional diffusion equation

An International Journal of Optimization and Control: Theories & Applications

article

Dilara Altan Koç¹  Mustafa Gülsu¹ 

[1] Mugla Sitki Kocman University

关键词: Diffusion equation;    Finite difference schemes;    Explicit method;   

DOI  :  10.11121/ijocta.01.2017.00492

学科分类：地球科学(综合)

来源: Balikesir University

【 摘 要 】

In this article one of the fractional partial differential equations was solved by finite difference scheme  based on five point and three point central space method with discretization in time. We use between the Caputo and the Riemann-Liouville derivative definition and the Grünwald-Letnikov operator for the fractional calculus. The stability analysis of this scheme is examined by using von-Neumann method. A comparison between exact solutions and numerical solutions is made. Some figures and tables are included.

【 授权许可】

CC BY