Numerical solution of eight order boundary value problems using Chebyshev polynomials

Document Type : Original Article

Authors

1 Department of Mathematics, Federal University of Agriculture, Abeokuta, Ogun State, Nigeria

2 Department of Mathematics, National Open University of Nigeria Jabi, Abuja, Nigeria

3 Department of Mathematics and Statistics, Osun State College of Technology Esa Oke, Osun State, Nigeria

4 Department of Mathematics, Osun State University, Osogbo, Nigeria

5 Department of Mathematics, Federal University of Technology Minna, Niger State, Nigeria.

6 Department of Mathematical and Computer Sciences, University of Medical Sciences, Ondo City, Ondo State

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.

Keywords

Main Subjects

References

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Mathematics and Computational Sciences
Volume 4, Issue 1
March 2023
Pages 18-28

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History

  • Receive Date: 30 January 2023
  • Revise Date: 13 February 2023
  • Accept Date: 14 February 2023

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