Author(s)

Toyin Gideon Okedayo, Ayodele Olakiitan Owolanke, Olaseni Taiwo Amumeji, Muyiwa Philip Adesuyi

Department of Mathematics, Ondo State University of Science and Technology, Okitipupa, Nigeria.

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.

Block, Legendre Polynomials, Zero-Stable, Convergent

Okedayo, T. , Owolanke, A. , Amumeji, O. and Adesuyi, M. (2018) Modified Legendre Collocation Block Method for Solving Initial Value Problems of First Order Ordinary Differential Equations. Open Access Library Journal, 5, 1-15. doi: 10.4236/oalib.1104565.