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 amplification 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 scientific literature.

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How to Cite
GHAZAL, Zainab Khaled; HUSSAIN, Kasim Abbas. Solving Oscillating Problems Using Modifying Runge-Kutta Methods. Ibn AL- Haitham Journal For Pure and Applied Sciences, [S.l.], v. 34, n. 4, p. 58-67, oct. 2021. ISSN 2521-3407. Available at: <https://jih.uobaghdad.edu.iq/index.php/j/article/view/2703>. Date accessed: 18 oct. 2021.
Section
mathematics