非常系数奇异分数阶积分微分方程

IF 2.3 2区数学 Q1 MATHEMATICS, APPLIED Applied Numerical Mathematics Pub Date : 2025-05-01 Epub Date: 2025-01-14 DOI:10.1016/j.apnum.2025.01.004

Kaido Lätt, Arvet Pedas, Hanna Britt Soots

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引用次数: 0

摘要

研究了一类奇异分数阶非常系数积分微分方程。在将原问题重新表述为亲切的Volterra积分方程后，我们研究了潜在问题的唯一可解性。构造了一种基于配点法的数值方法来求原问题的近似解，并分析了该方法的收敛性和收敛顺序。此外，我们还给出了一些数值实验的结果。

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Singular fractional integro-differential equations with non-constant coefficients

We investigate a class of singular fractional integro-differential equations with non-constant coefficients. After reformulating the original problem as a cordial Volterra integral equation we study the unique solvability of the underlying problem. We construct a numerical method based on collocation techniques to find an approximation to the solution of the original problem and analyse the convergence and the convergence order of the proposed method. Additionally, we present the results of some numerical experiments.

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来源期刊

Applied Numerical Mathematics 数学-应用数学

CiteScore

5.60

自引率

7.10%

发文量

225

审稿时长

7.2 months

期刊介绍： The purpose of the journal is to provide a forum for the publication of high quality research and tutorial papers in computational mathematics. In addition to the traditional issues and problems in numerical analysis, the journal also publishes papers describing relevant applications in such fields as physics, fluid dynamics, engineering and other branches of applied science with a computational mathematics component. The journal strives to be flexible in the type of papers it publishes and their format. Equally desirable are: (i) Full papers, which should be complete and relatively self-contained original contributions with an introduction that can be understood by the broad computational mathematics community. Both rigorous and heuristic styles are acceptable. Of particular interest are papers about new areas of research, in which other than strictly mathematical arguments may be important in establishing a basis for further developments. (ii) Tutorial review papers, covering some of the important issues in Numerical Mathematics, Scientific Computing and their Applications. The journal will occasionally publish contributions which are larger than the usual format for regular papers. (iii) Short notes, which present specific new results and techniques in a brief communication.