Consistency and Convergence Analysis of an F(x,y) Functionally Derived Explicit Fifth-Stage Fourth-Order Runge-Kutta Method

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Dr. Esekhaigbe Aigbedion Christopher

Abstract

The purpose of this paper is to analyze the consistency and convergence of an explicit fifth-stage fourth-order Runge-Kutta method derived using f(x,y) functional derivatives. The analysis revealed that the method is consistent and convergent. The implementation of this method on initial-value problems was done in a previous paper, and it revealed that the method compared favorably well with the existing classical fourth stage fourth order explicit Runge Kutta method.

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How to Cite
[1]
Dr. Esekhaigbe Aigbedion Christopher , Tran., “Consistency and Convergence Analysis of an F(x,y) Functionally Derived Explicit Fifth-Stage Fourth-Order Runge-Kutta Method”, IJBSAC, vol. 10, no. 4, pp. 10–12, Aug. 2024, doi: 10.35940/ijbsac.A1145.1210423.
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Articles

How to Cite

[1]
Dr. Esekhaigbe Aigbedion Christopher , Tran., “Consistency and Convergence Analysis of an F(x,y) Functionally Derived Explicit Fifth-Stage Fourth-Order Runge-Kutta Method”, IJBSAC, vol. 10, no. 4, pp. 10–12, Aug. 2024, doi: 10.35940/ijbsac.A1145.1210423.

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