MODIFIED LAGUERRE COLLOCATION BLOCK METHOD FOR SOLVING SECOND ORDER ORDINARY DIFFERENTIAL EQUATIONS

Authors

Keywords:

Linear Multi-step Method, Laguerre Polynomials, Second Order Ordinary Differential Equations, Basis Function, Grid Point.

Abstract

In this paper, the derivation of block procedure for linear multi-step methods (K=2) using the Laguerre polynomials as the basis functions was considered. Discrete methods was given which were used in block and implemented for solving the initial value problems, being the continuous interpolation derived and collocated at grid points. The derived scheme was used to solve some second order ordinary differential equations (ODEs) in order to show their validity and accuracy. The numerical results obtained shows that the proposed methods are efficient in solving second order ordinary differential equations.

Dimensions

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Published

13-04-2020

How to Cite

MODIFIED LAGUERRE COLLOCATION BLOCK METHOD FOR SOLVING SECOND ORDER ORDINARY DIFFERENTIAL EQUATIONS. (2020). FUDMA JOURNAL OF SCIENCES, 4(1), 29-36. https://fjs.fudutsinma.edu.ng/index.php/fjs/article/view/Remote%20URL

Issue

Vol. 4 No. 1 (2020): FUDMA Journal of Sciences - Vol. 4 No. 1

Section

Research Articles
Copyright & Licensing

FUDMA Journal of Sciences

How to Cite

MODIFIED LAGUERRE COLLOCATION BLOCK METHOD FOR SOLVING SECOND ORDER ORDINARY DIFFERENTIAL EQUATIONS. (2020). FUDMA JOURNAL OF SCIENCES, 4(1), 29-36. https://fjs.fudutsinma.edu.ng/index.php/fjs/article/view/Remote%20URL

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