Solving Oscillating Problems Using Modifying Runge-Kutta Methods

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Zainab Khaled Ghazal
Kasim Abbas Hussain

Abstract

     This paper develop conventional Runge-Kutta methods of order four and order five to solve ordinary differential equations with oscillating solutions. The new modified Runge-Kutta methods (MRK) contain the invalidation of phase lag, phase lag’s derivatives, and ampliï¬cation error. Numerical tests from their outcomes show the robustness and competence of the new methods compared to the well-known Runge-Kutta methods in the scientiï¬c literature.

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How to Cite
Ghazal, Z. K., & Hussain, K. A. (2021). Solving Oscillating Problems Using Modifying Runge-Kutta Methods. Ibn AL- Haitham Journal For Pure and Applied Sciences, 34(4), 58–67. https://doi.org/10.30526/34.4.2703
Section
mathematics