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

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  • Nsien, Edwin Frank

    (Department of Statistics, University of Uyo, Uyo, Akwa Ibom State, Nigeria)

  • Abasiekwere, Ubon Akpan

    (Department of Mathematics, University of Uyo, Uyo, Akwa Ibom State, Nigeria)

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.

Suggested Citation

  • Nsien, Edwin Frank & Abasiekwere, Ubon Akpan, 2025. "Numerical Solution of A Class of Fourth-Order Differential Equations with Initial Conditions," International Journal of Latest Technology in Engineering, Management & Applied Science, International Journal of Latest Technology in Engineering, Management & Applied Science (IJLTEMAS), vol. 14(5), pages 73-87, May.
    • Handle: RePEc:bjb:journl:v:14:y:2025:i:5:p:73-87
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