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Numerical solution of fractional pantograph equations via Müntz–Legendre polynomials
In this paper, two new collocation methods to obtain a solution for fractional pantograph equations are developed. The primary one is a single-domain collocation scheme based on modified Müntz–Legendre polynomials which have high accuracy. The other one, modified shifted Müntz–Legendre polynomials a...
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Published in: | Mathematical sciences (Karaj, Iran) Iran), 2024-09, Vol.18 (3), p.387-395 |
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Main Author: | |
Format: | Article |
Language: | English |
Subjects: | |
Citations: | Items that this one cites Items that cite this one |
Online Access: | Get full text |
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Summary: | In this paper, two new collocation methods to obtain a solution for fractional pantograph equations are developed. The primary one is a single-domain collocation scheme based on modified Müntz–Legendre polynomials which have high accuracy. The other one, modified shifted Müntz–Legendre polynomials are applied to derive a multi-domain collocation scheme equipped with domain decomposition. The use of the shifted Müntz–Legendre polynomials and the domain decomposition leads to an appropriate approximate solution with few collocation points. We illustrate the accuracy and efficiency of these methods with a few numerical examples. |
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ISSN: | 2008-1359 2251-7456 |
DOI: | 10.1007/s40096-022-00507-8 |