Analysis and numerical simulation for a class of time fractional diffusion equation via tension spline

被引：10

作者：

Kanth, A. S. V. Ravi ^{[1
]}

Sirswal, Deepika ^{[1
]}

机构：

[1] Natl Inst Technol, Dept Math, Kurukshetra 136119, Haryana, India

来源：

NUMERICAL ALGORITHMS | 2018年 / 79卷 / 02期

关键词：

Fractional diffusion equation; Tension spline; Stability; Convergence; DIFFERENCE SCHEME; SUB-DIFFUSION; TERM;

D O I：

10.1007/s11075-017-0447-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The numerical solution for a class of time fractional diffusion equation via tension spline is studied. Time fractional derivative is considered in the Caputo sense. The numerical method is constructed by means of the Crank-Nicolson method and is proven to be conditionally stable. Convergence analysis is also discussed by using the Fourier series method. Numerical evidences are given to prove the efficiency of the proposed method.

引用

页码：479 / 497

页数：19

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