A new application of the Legendre reproducing kernel method-Reference-Cited by-同舟云学术

A new application of the Legendre reproducing kernel method

Published:2022 Issue:6 Volume:7 Page:10651-10670
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Foroutan Mohammad Reza¹,Hashemi Mir Sajjad²,Gholizadeh Leila²,Akgül Ali³,Jarad Fahd⁴⁵

Affiliation:

1. Department of Mathematics, Payame Noor University, P.O. Box 19395-3697, Tehran, Iran

2. Department of Mathematics, University of Bonab, P.O. Box 55513-95133, Bonab, Iran

3. Art and Science Faculty, Department of Mathematics, Siirt University, TR-56100, Siirt, Turkey

4. Department of Mathematics, Çankaya University, Ankara 06790, Turkey

5. Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan

Abstract

<abstract><p>In this work, we apply the reproducing kernel method to coupled system of second and fourth order boundary value problems. We construct a novel algorithm to acquire the numerical results of the nonlinear boundary-value problems. We also use the Legendre polynomials. Additionally, we discuss the convergence analysis and error estimates. We demonstrate the numerical simulations to prove the efficiency of the presented method.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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