变阶时间分数次扩散方程的高阶稳定数值算法

IF 1.4 4区综合性期刊 Q2 MULTIDISCIPLINARY SCIENCES

Iranian Journal of Science and Technology, Transactions A: Science Pub Date : 2024-11-04 DOI:10.1007/s40995-024-01726-5

Priyanka Rajput, Nikhil Srivastava, Vineet Kumar Singh

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引用次数: 0

摘要

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

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.

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来源期刊

Iranian Journal of Science and Technology, Transactions A: Science MULTIDISCIPLINARY SCIENCES-

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