Reconstructed variational iteration algorithm via third-kind shifted Chebyshev polynomials for the numerical solution of seventh-order boundary value problems
Publish place: Mathematics and Computational Sciences، Vol: 3، Issue: 4
Publish Year: 1401
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_JMCS-3-4_006
تاریخ نمایه سازی: 26 فروردین 1402
Abstract:
The variational iteration algorithm using shifted Chebyshev polynomials of the third kind was used to obtain the numerical solution of seventh order Boundary Value Problems(PVBs) in this paper. The proposed method is made by constructing the shifted Chebyshev polynomials of the third kind for the given boundary value problems and used as a basis functions for the approximation. Numerical examples where also given to show the efficiency and reliability of the proposed method. Calculations were performed using maple ۱۸ software.
Keywords:
Variational iteration algorithm , Boundary value problems , Shifted Chebyshev polynomials of the third kind , Approximate solutions
Authors
Christie Yemisi Ishola
Department of Mathematics, National Open University Jabi Abuja, Nigeria
Musiliu Tayo Raji
Department of Mathematics, Federal University of Agriculture, Abeokuta, Ogun State, Nigeria
Mutiu Lawal Olaosebikan
Department of Mathematics, Osun State University, Osogbo, Osun State, Nigeria
Mfon Okon Etuk
Department of Maths and Statistics, Federal Polytechnic Bida, Bida, Nigeria.
Asimiyu Olalekan Oladapo
Department of Mathematics, Osun State University, Osogbo, Osun State, Nigeria
Aduragbemi Adekunle Victor
Department of Mathematics, University of Ilorin, Kwara State, Nigeria
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