An Optimized Half-Step Scheme Third derivative Methods for Testing Higher Order Initial Value Problems

Authors

  • D. Raymond
    Department of Mathematics and Statistics, Federal University Wukari-Nigeria
  • T. P. Pantuvo
    Department of Mathematics and Statistics, Federal University Wukari-Nigeria
  • A. Lydia
    Department of Mathematics and Statistics, Federal University Wukari-Nigeria
  • J. Sabo
    Department of Mathematics, Adamawa State University, Mubi-Nigeria
  • R. Ajia
    Department of Mathematics and Statistics, College of Agriculture, Science and Technology, Jalingo.

Keywords:

Half-step, Optimize Hybrid Block, Local Truncation error, Third Order Problem

Abstract

An optimized half-step third derivative block scheme on testing third order initial value problems is presented in this article. This scheme suggests some certain points of evaluation which properly optimizes the truncation errors at point of formulas, the conditions that guarantee the properties of the method was considered and satisfied. However the develop scheme is used to test some third order optimized problems and the mathematical outcomes achieved confirms better calculation than the previous method we related with.

Dimensions

G. Dahlguist, “A special stability problem for linear multistep methods”, BIT 3 (1963) 27.

J. Kuboye, O. R. Elusakin & O. F. Quadri, “Numerical algorithm for direct solution of fourth order ordinary differential equations”, Journal of Nigerian Society of Physical Sciences 2 (2020) 218.

D. Raymond, T. Y. Kyagya, J. Sabo & A. Lydia, “numerical application of higher order linear block scheme on testing some modeled problems of fourth order problem”, African Scientific Reports 2 (2023) 2. doi:10.46481/asr.2022.2.1.67.

A. O. Adesanya, M. K. Fasansi & M. R. Odekunle, “One step three hybrid block predictor-corrector method for the solution of Applied and computational Mathematics 2 (2013) 137, doi:10.4172/21689679.1000137

O. A. Adebayo & E. O. Adebola, “one step hybrid method for the numerical solution of general third order ordinary differential equations”, International Journal of Mathematical Sciences 2 (2016) 10.

L. O. Adoghe & E. O. Omole, “A fifth-fourth continuous block implicit hybrid method for the solution of third order initial value problems in ordinary differential equations”, Applied and Computational Mathematics 8 (2019) 52.

R. Higinio, Z. Kalogiratou, T. H. Monovasilis & T. E. Simos, “An optimized two-step hybrid block method for solving general second order initial-vlue problems”, Numer. Algorithms 72 (2016) 1090.

S. H. Bothayna & A. Sadeemr, “Optimization of two-step block method with three hybrid points for solving third order initial value problems”, Journal of Nonlinear Sciences and Applications 12 (2019) 467.

S. Joshua, “Optimized two-step second derivative methods for the solutions of stiff systems”, Int. Journal of Physics Communications 6 (2022) 055016.

Published

2023-04-29

How to Cite

An Optimized Half-Step Scheme Third derivative Methods for Testing Higher Order Initial Value Problems. (2023). African Scientific Reports, 2(1), 76. https://doi.org/10.46481/asr.2023.2.1.76

Issue

Volume 2, Issue 1, April 2023

Section

Original Research
Copyright & Licensing

Copyright (c) 2023 D. Raymond, T. P. Pantuvo, A. Lydia, J. Sabo, R. Ajia

Creative Commons License

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

How to Cite

An Optimized Half-Step Scheme Third derivative Methods for Testing Higher Order Initial Value Problems. (2023). African Scientific Reports, 2(1), 76. https://doi.org/10.46481/asr.2023.2.1.76

Similar Articles

41-50 of 55

You may also start an advanced similarity search for this article.

Most read articles by the same author(s)