Modified Laguerre Collocation Block Method for Solving Initial Value Problems of First Order Ordinary Differential Equations
T. G. Okedayo, O. T. Amumeji, A. O. Owolanke, O. K. Ogunbamike
Journal of Advances in Mathematics and Computer Science · pp. 1–13 · Published 19 Oct 2018
10.9734/JAMCS/2018/42357Abstract
In this paper, an implicit k-step linear multi-step methods using the Laguerre polynomials as the basis functions is proposed. The given discrete methods were used in block and implemented for solving the initial value problems, being continuous interpolant derived and collocated at grid points. Numerical examples of initial value problems (IVPs) of ordinary differential equations (ODEs) were solved using the derived methods, and it is observed that the results obtained converged faster and the consistency and the zero stability are validated.
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