Numerical Solution of A Class of Fourth-Order Differential Equations with Initial Conditions

Edwin Frank Nsien and Ubon Akpan Abasiekwere
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Edwin Frank Nsien: Department of Statistics, University of Uyo, Uyo, Akwa Ibom State, Nigeria
Ubon Akpan Abasiekwere: Department of Mathematics, University of Uyo, Uyo, Akwa Ibom State, Nigeria

International Journal of Latest Technology in Engineering, Management & Applied Science, 2025, vol. 14, issue 5, 73-87

Abstract: This paper presents the Runge-Kutta (RK4) method of order four for solving initial value problems of fourth-order ordinary differential equations. The proposed method is derived and is observed to be efficient and practically well-suited for handling high-order initial value problems. Two modal examples (linear and non-linear) are presented to demonstrate the reliability, accuracy and easy implementability of the method. The results obtained show a high level of accuracy when compared with the analytical solution.

Date: 2025
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