Numerical solution of eight order boundary value problems using Chebyshev polynomials
Publish place: Mathematics and Computational Sciences، Vol: 4، Issue: 1
Publish Year: 1402
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_JMCS-4-1_003
تاریخ نمایه سازی: 26 فروردین 1402
Abstract:
First-kind Chebyshev polynomials are used as the basis functions in this study to present the approximations to the eighth-order boundary-value problems. The problem is reduced using the suggested approach into a set of linear algebraic equations, which are then solved to determine the unknown constants. To demonstrate the application and effectiveness of the strategy, analytical results are provided using tables and graphs for three examples. The results obtained using the proposed method reveal that it is simple and outperforms comparable solutions in the literature.
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Authors
Musiliu Tayo Raji
Department of Mathematics, Federal University of Agriculture, Abeokuta, Ogun State, Nigeria
Christie Yemisi Ishola
Department of Mathematics, National Open University of Nigeria Jabi, Abuja, Nigeria
Olayemi Olutola Babalola
Department of Mathematics and Statistics, Osun State College of Technology Esa Oke, Osun State, Nigeria
Tawakalt Abosede Ayoola
Department of Mathematics, Osun State University, Osogbo, Nigeria
Nasiru Muhammed Momoh
Department of Mathematics, Federal University of Technology Minna, Niger State, Nigeria.
Olumuyiwa James Peter
Department of Mathematical and Computer Sciences, University of Medical Sciences, Ondo City, Ondo State
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