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Journal of Applied Mathematics and Computing
Published in: Journal of Applied Mathematics and Computing 2/2022

15-06-2021 | Original Research

A minimal search method for solving fractional integro-differential equations based on modified Legendre multiwavelets

Authors: Longbin Wu, Zhong Chen, Xiaohua Ding

Published in: Journal of Applied Mathematics and Computing | Issue 2/2022

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Abstract

This paper improves the modified multiwavelets bases of minimal search method for the fractional integro-differential equation. First, it shows the unique solvability of the equation. And then the Legendre multiwavelets are improved and the modified multiwavelets in reproducing kernel space are obtained. Subsequently, it is established a strict theory for obtaining the \(\varepsilon \)-approximate solution with minimal search method. Finally, some examples show that the modified continuous multiwavelets method is more effective and stable than the Legendre multiwavelets and other methods.
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Metadata
Title
A minimal search method for solving fractional integro-differential equations based on modified Legendre multiwavelets
Authors
Longbin Wu
Zhong Chen
Xiaohua Ding
Publication date
15-06-2021
Publisher
Springer Berlin Heidelberg
Published in
Journal of Applied Mathematics and Computing / Issue 2/2022
Print ISSN: 1598-5865
Electronic ISSN: 1865-2085
DOI
https://doi.org/10.1007/s12190-021-01573-2

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