Consistency and Convergence Analysis of an 𝐹(𝑥,𝑦) Functionally Derived Explicit Fifth-Stage Fourth-Order Runge-Kutta Method-Reference-Cited by-同舟云学术

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

Published:2022-12-30 Issue:4 Volume:10 Page:10-13
ISSN:2394-367X
Container-title:International Journal of Basic Sciences and Applied Computing
language:
Short-container-title:IJBSAC

Author:

Christopher Dr. Esekhaigbe Aigbedion^ORCID,

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.

Publisher

Blue Eyes Intelligence Engineering and Sciences Engineering and Sciences Publication - BEIESP

Subject

General Medicine

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