ON THE CONSISTENCY AND CONVERGENCE ANALYSIS OF A DERIVED EXPLICIT FOURTH-STAGE FOURTH-ORDER RUNGE-KUTTA METHOD
DOI:
https://doi.org/10.53555/nnms.v9i8.1226Keywords:
Consistency, Convergence, Explicit, Runge-Kutta Methods, Linear and non- linear equations, Taylor series, Parameters, Initial-value Problems, Implementation, CurveAbstract
This paper is aimed at analyzing the consistency and convergence of a derived explicit fourth-stage fourth-order Runge-Kutta method. The analysis revealed that the method is consistent and convergent. The implementation of this method on initial-value problems was done in 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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