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