Published December 30, 2023 | Version CC BY-NC-ND 4.0
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Consistency and Convergence Analysis of an 𝐹(π‘₯,𝑦) Functionally Derived Explicit Fifth-Stage Fourth-Order Runge-Kutta Method

  • 1. Department of Statistics, Federal Polytechnic, Auchi, Edo State, Nigeria.

Contributors

  • 1. Department of Statistics, Federal Polytechnic, Auchi, Edo State, Nigeria.

Description

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,π’š) 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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Dates

Accepted
2023-12-15
Manuscript received on 16 February 2023 | Revised Manuscript received on 06 December 2023 | Manuscript Accepted on 15 December 2023 | Manuscript published on 30 December 2023

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