An Optimized 5-Point Block Formula for Direct Numerical Solution of First Order Stiff Initial Value Problems

Authors

  • VO Atabo Department of Mathematics, Ahmadu Ribadu College, Yola, Adamawa State, Nigeria
  • PO Olatunji Department of Mathematical Sciences, Adekunle Ajasin University, Akungba Akoko, Ondo State, Nigeria

DOI:

: https://doi.org/10.46912/napas.169

Keywords:

Absolute stability, Stiff initial value problems, Block method, Error constant

Abstract

In this research article, we focus on the formulation of a 5-point block formula for solving first order ordinary differential equations (ODEs). The method is formulated via interpolation and collocation approach using power series expansion as the approximate solution. It has been established that the derived method is of order six. Basic properties such zero and absolute stabilities, convergence, order and error constant have also been investigated. The accuracy of the method was verified on some selected stiff IVPs, compared with some existing methods (DIBBDF, SDIBBDF, BBDF(4), BBDF(5) and odes15s) and test performance showed that the new method is viable.

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Published

2020-07-22

How to Cite

Atabo, V., & Olatunji, P. (2020). An Optimized 5-Point Block Formula for Direct Numerical Solution of First Order Stiff Initial Value Problems. NIGERIAN ANNALS OF PURE AND APPLIED SCIENCES, 3(2), 158–167. https://doi.org/10.46912/napas.169

Issue

Vol. 3 No. 2 (2020): COVID-19 and Nigeria Scientists

Section

Original Article