Reconstructed variational iteration algorithm via third-kind shifted Chebyshev polynomials for the numerical solution of seventh-order boundary value problems

Document Type : Original Article

Authors

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

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

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

4 Department of Maths and Statistics, Federal Polytechnic Bida, Bida, Nigeria.

5 Department of Mathematics, University of Ilorin, Kwara State, Nigeria

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 18 software.

Keywords

References

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Mathematics and Computational Sciences
Volume 3, Issue 4
December 2022
Pages 55-61

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History

  • Receive Date: 26 November 2022
  • Revise Date: 09 December 2022
  • Accept Date: 25 December 2022

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