Certain Orthogonal Polynomials for Solving Boundary Value Problems Using the Variational Iteration Method

  • Jonathan Tsetimi Department of Mathematics, Delta State University, Abraka, Delta State Nigeria
  • Disu A. B. Department of Mathematics, National Open University of Nigeria
  • Ogeh K.O. Department of Mathematics, University of Ilorin, P.M.B 1515, Ilorin, Nigeria
Keywords: Boundary value problems, Chebyshev polynomials, orthogonal polynomials, Variational iteration method.

Abstract

This paper illustrates the use of certain orthogonal polynomials (Chebyshev polynomials) as trial functions in a variational iterative approach for solving 6th order boundary value problems (BVPs). The proposed method is validated through some numerical examples without any form of discretization or perturbation. The resulting numerical evidences show that the method is effective and accurate. All calculations are analyzed using maple18 software.

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Published
2020-09-17
How to Cite
Tsetimi, J., A. B., D., & K.O., O. (2020). Certain Orthogonal Polynomials for Solving Boundary Value Problems Using the Variational Iteration Method. Boson Journal of Modern Physics, 7(1), 12-19. Retrieved from http://scitecresearch.com/journals/index.php/bjmp/article/view/1601
Issue
Vol 7 No 1 (2020): BJMP
Section
Articles

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