用p分数阶线性多步法数值处理时间分数次扩散方程

IF 1.1 4区数学 Q2 MATHEMATICS, APPLIED

Applicable Analysis Pub Date : 2023-11-17 DOI:10.1080/00036811.2023.2283131

Nayier Jangi Bahador, Safar Irandoust-Pakchin, Somaiyeh Abdi-Mazraeh

引用次数: 0

摘要

本文考虑了一类含时间分数次扩散方程的微分方程。通过这个备忘录，一个众所周知的技术，在时间方向上被采用…

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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Numerical treatment of time-fractional sub-diffusion equation using p-fractional linear multistep methods

In this paper, a kind of the differential equation including a time-fractional sub-diffusion equation is considered. Through this memorandum, a well-known technique, in the time direction is adopte...

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来源期刊

Applicable Analysis 数学-应用数学

CiteScore

2.60

自引率

9.10%

发文量

175

审稿时长

2 months

期刊介绍： Applicable Analysis is concerned primarily with analysis that has application to scientific and engineering problems. Papers should indicate clearly an application of the mathematics involved. On the other hand, papers that are primarily concerned with modeling rather than analysis are outside the scope of the journal General areas of analysis that are welcomed contain the areas of differential equations, with emphasis on PDEs, and integral equations, nonlinear analysis, applied functional analysis, theoretical numerical analysis and approximation theory. Areas of application, for instance, include the use of homogenization theory for electromagnetic phenomena, acoustic vibrations and other problems with multiple space and time scales, inverse problems for medical imaging and geophysics, variational methods for moving boundary problems, convex analysis for theoretical mechanics and analytical methods for spatial bio-mathematical models.