Higher Order Stable Numerical Algorithm for the Variable Order Time-Fractional Sub-diffusion Equation

IF 1.4 4区 综合性期刊 Q2 MULTIDISCIPLINARY SCIENCES
Priyanka Rajput, Nikhil Srivastava, Vineet Kumar Singh
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引用次数: 0

Abstract

In the present work, we proposed a numerical scheme for solving the Variable order time fractional sub-diffusion equation (VOTFSDE) by finite difference method. The variable order Caputo derivative is approximated by the L-123 approximation in time direction. The numerical schemes unconditional stability is theoretically investigated. The three test problems are used to execute the scheme, and the numerical results show a high level of accuracy and higher order of convergence. To show the efficiency and accuracy of our proposed scheme, a comparison of the numerical results with those from an earlier existing scheme is also provided.

变阶时间分数次扩散方程的高阶稳定数值算法
本文提出了用有限差分法求解变阶时间分数次扩散方程(VOTFSDE)的数值格式。变阶卡普托导数在时间方向上用L-123近似近似。对数值格式的无条件稳定性进行了理论研究。利用三个测试问题对该方案进行了执行,结果表明该方案具有较高的精度和收敛阶。为了证明所提方案的有效性和准确性,还将数值结果与先前已有方案的结果进行了比较。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
CiteScore
4.00
自引率
5.90%
发文量
122
审稿时长
>12 weeks
期刊介绍: The aim of this journal is to foster the growth of scientific research among Iranian scientists and to provide a medium which brings the fruits of their research to the attention of the world’s scientific community. The journal publishes original research findings – which may be theoretical, experimental or both - reviews, techniques, and comments spanning all subjects in the field of basic sciences, including Physics, Chemistry, Mathematics, Statistics, Biology and Earth Sciences
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