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

Longbin Wu; Zhong Chen; Xiaohua Ding

doi:10.1007/s12190-021-01573-2

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

Longbin Wu
, Zhong Chen
, Xiaohua Ding^*

^*Corresponding author for this work

Harbin Institute of Technology Weihai

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

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 ε-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.

Original language	English
Pages (from-to)	1467-1483
Number of pages	17
Journal	Journal of Applied Mathematics and Computing
Volume	68
Issue number	2
DOIs	https://doi.org/10.1007/s12190-021-01573-2
State	Published - Apr 2022
Externally published	Yes

Keywords

Fractional integro–differential equation
Minimal search method
Modified multiwavelet bases

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10.1007/s12190-021-01573-2

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

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 ε-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.",

keywords = "Fractional integro–differential equation, Minimal search method, Modified multiwavelet bases",

author = "Longbin Wu and Zhong Chen and Xiaohua Ding",

note = "Publisher Copyright: {\textcopyright} 2021, Korean Society for Informatics and Computational Applied Mathematics.",

year = "2022",

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doi = "10.1007/s12190-021-01573-2",

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T1 - A minimal search method for solving fractional integro-differential equations based on modified Legendre multiwavelets

AU - Wu, Longbin

AU - Chen, Zhong

AU - Ding, Xiaohua

PY - 2022/4

Y1 - 2022/4

N2 - 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 ε-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.

AB - 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 ε-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.

KW - Fractional integro–differential equation

KW - Minimal search method

KW - Modified multiwavelet bases

UR - https://www.scopus.com/pages/publications/85107990949

U2 - 10.1007/s12190-021-01573-2

DO - 10.1007/s12190-021-01573-2

M3 - 文章

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VL - 68

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JO - Journal of Applied Mathematics and Computing

JF - Journal of Applied Mathematics and Computing

IS - 2

ER -

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

Abstract

Keywords

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