Numerical Application of Higher Order Linear Block Method for Solving Some Fourth Order Initial Value Problems

D. Raymond; T. Y. Kyagya; S. John; A. Lydia

doi:10.46481/asr.2023.2.1.67

Authors

D. Raymond Department of Mathematics and Statistic, Federal University Wukari, Nigeria
T. Y. Kyagya Department of Mathematics and Statistic, Federal University Wukari, Nigeria
S. John
[email protected]
Department of Mathematics, Adamawa University Mubi, Nigeria
A. Lydia Department of Mathematics and Statistic, Federal University Wukari, Nigeria

Keywords:

Numerical application, Block hybrid method, Initial value problems, Differential equation

Abstract

The numerical application of higher order linear block method for the direct solution of fourth order initial value problems was proposed using the linear block algorithm, where the methods applied in block form. The method is zero-stabile, consistent and convergent when analyzing the properties of the method. The mathematical example solved using the method is effective, suitable, and acceptable for solving fourth order initial value problems. The method is also compared with existing work when solving similar systems of differential equation and obviously, the method performs better than those in literature and textual shown.

Dimensions

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