The Second Chebyshev Wavelets for Solving the Fractional Langevin Equation

This paper aims to provide an efficient numerical method based on the second Chebyshev wavelets for solving the fractional Langevin equation. Applying this operational matrix of fractional-order integration of second Chebyshev wavelets converts the original problem into a system of algebraic equatio...

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Bibliographic Details
Published inNumerical analysis and applications Vol. 18; no. 1; pp. 19 - 35
Main Authors Bargamadi, E., Torkzadeh, L., Nouri, K.
Format Journal Article
LanguageEnglish
Published Moscow Pleiades Publishing 01.03.2025
Springer Nature B.V
Subjects
Algebra
Approximation
Chebyshev approximation
Codes
Mathematics
Mathematics and Statistics
Numerical Analysis
Numerical methods
fractional Langevin equation
second Chebyshev wavelet
operational matrix of fractional-order integration
Online AccessGet full text
ISSN1995-4239
1995-4247
DOI10.1134/S199542392360030X

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Summary:This paper aims to provide an efficient numerical method based on the second Chebyshev wavelets for solving the fractional Langevin equation. Applying this operational matrix of fractional-order integration of second Chebyshev wavelets converts the original problem into a system of algebraic equations, which could be solved by the Newton method. After analyzing the method, the error bound is estimated. Moreover, the method’s efficiency through a few numerical examples is evaluated.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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ISSN:1995-4239
1995-4247
DOI:10.1134/S199542392360030X