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Modified Legendre Collocation Block Method for Solving Initial Value Problems of First Order Ordinary Differential Equations

DOI: 10.4236/oalib.1104565, PP. 1-15

Subject Areas: Mathematical Analysis

Keywords: Block, Legendre Polynomials, Zero-Stable, Convergent

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Abstract

In this paper, block procedure for some k-step linear multi-step methods, using the Legendre polynomials as the basis functions, is proposed. Discrete methods were given which were used in block and implemented for solving the initial value problems, being continuous interpolant derived and collocated at grid points. Some numerical examples of ordinary differential equations were solved using the derived methods to show their validity and the accuracy. The numerical results obtained show that the proposed method can also be efficient in solving such problems.

Cite this paper

Okedayo, T. G. , Owolanke, A. O. , Amumeji, O. T. and Adesuyi, M. P. (2018). Modified Legendre Collocation Block Method for Solving Initial Value Problems of First Order Ordinary Differential Equations. Open Access Library Journal, 5, e4565. doi: http://dx.doi.org/10.4236/oalib.1104565.

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