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

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
    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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Published

2023-02-04

How to Cite

Numerical Application of Higher Order Linear Block Method for Solving Some Fourth Order Initial Value Problems. (2023). African Scientific Reports, 2(1), 67. https://doi.org/10.46481/asr.2023.2.1.67

Issue

Volume 2, Issue 1, April 2023

Section

Original Research
Copyright & Licensing

Copyright (c) 2023 D. Raymond, T. Y. Kyagya, S. John, A. Lydia

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Numerical Application of Higher Order Linear Block Method for Solving Some Fourth Order Initial Value Problems. (2023). African Scientific Reports, 2(1), 67. https://doi.org/10.46481/asr.2023.2.1.67

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