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.

Downloads

Download data is not yet available.

References

Caglar, H.N, Caglar, S.H, and Twizellll E.H , Applied Mathematics Letters, 12(5)(1999) 25

Ojobor S.A, and Ogeh K.O, Transactions of Nigerian Association of Mathematical Physics , 4(2017), 45

Njoseh I.N and Mamadu E.J, Science World Journal, 11(4) (2016a) 21

Njoseh, I.N. and Mamadu, E.J, Applied Mathematics,7(2016b) 1215

Mamadu, E. J. and Njoseh, I.N, Journal of Applied Mathematics and Physics, 4(2016) 383

Mahmoudi, Y, Abdollahi. M, Karimian. N and Khalili. H ,. Journal of Basic and Applied Scientific Research, 2(12) (2012) 12236

Noor, M.A and Mohyud-Din, S.T, International Journal of Nonlinear Science, 9(2010a), 387

Noor, M.A and Mohyud-Din, S.T, Journal of Applied mathematics and computing, 29(1-2) (2009) 81

Noor, M.A and Mohyud-Din, S.T , Journal of Applied Maths & Informatics, 27(5-6) (2007b) 1343

Noor, M.A and Mohyud-Din, S.T, Differential Equation and Nonlinear Mechanic, (2007c), Article ID 19529, 16 pages.

Noor, M.A and Mohyud-Din, S.T, Mathematical Methods in Engineering, Article ID (2007d), 954794, 12 pages, doi:10.1155/2008/954794.

Mohyud-Din, S.T and Ahmet Yildirim, Application and applied mathematics, 5(1) (2010).:11 – 25

Shahid, S.S and Muzammal .I, Journal of the Association of Arab Universities for Basic and Applied Sciences,18(2015) 60

Fazal-i-Haq, Arshed .A and Hussain.I, International Journal of Physical Sciences, 7(43) (2012) 5729

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
Section
Articles