Multiple Perturbed Collocation Tau-method for Solving High Order Linear and Non-Linear Boundary Value Problems

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dc.contributor.authorAdebisi, A. F.
dc.contributor.authorTaiwo, O. A
dc.contributor.authorAdewumi, A.O
dc.contributor.authorBello, K. A.
dc.date.accessioned2019-05-20T13:32:54Z
dc.date.available2019-05-20T13:32:54Z
dc.date.issued2014
dc.description.abstractThis paper is concerned with the numerical solution of high order linear and nonlinear boundary value problems of ordinary differential equations by Multiple Perturbed Collocation Tau Method (MPCTM). We assumed a perturbed apporoximate solution in terms of Chebyshev polynomial basis function which is subtituted into the special class of the problem considered. Thus, resulting into n-folds integration. After evaluation of n-fold integration, the resulting equation is then collocation at equally spaced interior points and the unknown constants in the approximate solution are then obtained by Gaussian elimination method which are then substituted back into the approximate solution. The proposed method is tested on several numerical examples, the approximate solution is in agreement with the exact solution. The approximate results obtained by the proposed method confirm the convergency of numerical solutions and are compared favourably with the existing methods available in literature.en_US
dc.identifier.urihttp://hdl.handle.net/123456789/1980
dc.language.isoenen_US
dc.subjectAccuracyen_US
dc.subjectBoundary Value Problemsen_US
dc.subjectErrorsen_US
dc.subjectChebysheven_US
dc.subjectCollocationen_US
dc.subjectMultiple Perturbeden_US
dc.subjectOrdinary Differential Equationen_US
dc.titleMultiple Perturbed Collocation Tau-method for Solving High Order Linear and Non-Linear Boundary Value Problemsen_US
dc.typeArticleen_US

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