A Tikhonov-type method for inverse source problems for time-space fractional parabolic equations

IF 3.4 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics and Computation Pub Date : 2025-06-06 DOI:10.1016/j.amc.2025.129567

Nguyen Van Duc , Thi-Phong Nguyen

引用次数: 0

Abstract

This paper investigates a Tikhonov-type approach for addressing inverse source problems related to time-space fractional parabolic equations. The method ensures a Hölder-type error estimate for the regularized solution at an optimal order, enabling a fixed parameter choice rule that does not depend on the data. Efficient numerical algorithms are devised for practical implementation, accompanied by numerical examples.

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时空分数抛物型方程反源问题的tikhonov型方法

本文研究了一种求解时空分数阶抛物型方程逆源问题的tikhonov型方法。该方法确保正则化解以最优顺序进行Hölder-type误差估计，从而实现不依赖于数据的固定参数选择规则。为实际应用设计了有效的数值算法，并给出了数值算例。

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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来源期刊

Applied Mathematics and Computation 数学-应用数学

CiteScore

7.90

自引率

10.00%

发文量

755

审稿时长

36 days

期刊介绍： Applied Mathematics and Computation addresses work at the interface between applied mathematics, numerical computation, and applications of systems – oriented ideas to the physical, biological, social, and behavioral sciences, and emphasizes papers of a computational nature focusing on new algorithms, their analysis and numerical results. In addition to presenting research papers, Applied Mathematics and Computation publishes review articles and single–topics issues.