Open AccessSolving Oscillating Problems Using Modifying Runge-Kutta Methods
Author(s) -
Zainab Khaled Ghazal,
Kasim Abbas Hussain
Publication year - 2021
Publication title -
mağallaẗ ibn al-haytam li-l-ʻulūm al-ṣirfaẗ wa-al-taṭbīqiyyaẗ/ibn al-haitham journal for pure and applied sciences
Language(s) - English
Resource type - Journals
eISSN - 2521-3407
pISSN - 1609-4042
DOI - 10.30526/34.4.2703
Subject(s) - runge–kutta methods , phase lag , robustness (evolution) , lag , numerical methods for ordinary differential equations , ordinary differential equation , mathematics , computer science , control theory (sociology) , differential equation , mathematical analysis , differential algebraic equation , artificial intelligence , chemistry , computer network , biochemistry , control (management) , gene
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.