Browsing by Author "Taiwo, A.I"
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Item Approxiamtion of Second Order Boundary Value Problems By Galerkin Method with Chebyshev Polynomial Basis(Faculty of Physical Sciences, University of Ilorin, 2018) Bello, K.A; Taiwo, O.A; Taiwo, A.IIn this paper, the technique of Galerkin weighted residual method is used to obtain the numerical solution of second order linear boundary value problems. By the use of Linear transformation, the problem was first converted from its original form and interval to its equivalent form in the interval of the chebyshev polynomial used as basis of the trial solution. Then the converted form of the problem is solved using the Galerkin weighted residual method. Three numerical examples with Neumann boundary conditions were considered. The approximate solutions of the examples compared favourably with the exact solutions on using a very few Chebyshev polynomials.The method is very effective and accurate.