NUMERICAL TREATMENT OF HIGHER ORDER DIFFERENTIAL EQUATIONS USING RUNGE KUTTA AND PREDICTOR CORRECTOR METHODS

Authors

  • AMINU AUDU Department of Mathematics, Faculty of Science, Gombe State University, Gombe, Nigeria
  • MARY KAMASKO Department of Mathematics, Faculty of Science, Gombe State University, Gombe, Nigeria
  • S.B. MUHAMMAD Department of Mathematics, Faculty of Science, Gombe State University, Gombe, Nigeria

Keywords:

Runge Kutta, Predictor, Corrector, Absolute Error.

Abstract

In this study, two numerical methods were used to obtain a numerical solution of higher order
ordinary differential equations. The two methods are the existing Runge Kutta method and
Adam-Bashforth Moulton predictor corrector methods which have been modified to
accommodate the general nth order ordinary differential equations. Four higher order
differential equation problems were solved and the results obtained were consistent with when
compared with the exact solution.

Downloads

Published

2020-07-13

How to Cite

AUDU, A., KAMASKO, M. ., & S.B. MUHAMMAD. (2020). NUMERICAL TREATMENT OF HIGHER ORDER DIFFERENTIAL EQUATIONS USING RUNGE KUTTA AND PREDICTOR CORRECTOR METHODS. BIMA JOURNAL OF SCIENCE AND TECHNOLOGY (2536-6041), 4(01), 148-154. Retrieved from https://journals.gjbeacademia.com/index.php/bimajst/article/view/173

Issue

Vol. 4 No. 01 (2020): Vol. 4 No. 1 July 2020

Section

Articles