应用 Touchard 小波模拟分数受电弓微分方程的数值解

IF 0.6 Q4 MATHEMATICS, APPLIED

Journal of Applied Analysis Pub Date : 2024-01-03 DOI:10.1515/jaa-2023-0029

Mostafa Safavi, A. Khajehnasiri, Reza Ezzati, Saeedeh Rezabeyk

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引用次数: 0

摘要

摘要本文提出了一种基于 Touchard 小波的新运算数值方法，用于求解分数受电弓微分方程。首先，我们提出了分式积分的运算矩阵以及 Touchard 小波的分式导数。然后，通过用 Touchard 小波逼近未知函数的分数导数，并使用配位法，将原问题简化为一个代数方程系统。最后，为了证明所提技术的准确性和有效性，我们提供了一些数值示例。

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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Application of Touchard wavelet to simulate numerical solutions to fractional pantograph differential equations

Abstract This paper proposes a new operational numerical method based on Touchard wavelets for solving fractional pantograph differential equations. First, we present an operational matrix of fractional integration as well as the fractional derivative of the Touchard wavelets. Then, by approximating the fractional derivative of the unknown function in terms of the Touchard wavelets and also by using collocation method, the original problem is reduced to a system of algebraic equations. Finally, to show the accuracy and the validity of the proposed technique, we provide some numerical examples.

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来源期刊

Journal of Applied Analysis MATHEMATICS, APPLIED-

CiteScore

1.30

自引率

0.00%

发文量

期刊介绍： Journal of Applied Analysis is an international journal devoted to applications of mathematical analysis. Among them there are applications to economics (in particular finance and insurance), mathematical physics, mechanics and computer sciences. The journal also welcomes works showing connections between mathematical analysis and other domains of mathematics such as geometry, topology, logic and set theory. The journal is jointly produced by the Institute of Mathematics of the Technical University of Łódź and De Gruyter. Topics include: -applications of mathematical analysis (real and complex, harmonic, convex, variational)- differential equations- dynamical systems- optimization (linear, nonlinear, convex, nonsmooth, multicriterial)- optimal control- stochastic modeling and probability theory- numerical methods