THE DERIVED EXPLICIT FOURTH-STAGE SECOND-ORDER RUNGE-KUTTA METHOD IS CONSISTENT AND CONVERGENT

Authors

  • Esekhaigbe Aigbedion Christopher Department of Mathematics, Aduvie Pre-University College, Jahi, Abuja, Nigeria.
  • Okodugha Edward Department of Basic Sciences, Federal Polytechnic, Auchi, Edo State, Nigeria.

DOI:

https://doi.org/10.53555/nnms.v10i2.1519

Keywords:

Consistency, Convergence, Explicit, Runge-Kutta Methods, Linear and non- linear equations, Taylor series, Parameters, Initial-value Problems

Abstract

The purpose of this paper is to analyze the consistency and convergence of an explicit fourth-stage second-order Runge-Kutta method derived using Taylor series expansion by varying parameters. The analysis revealed that the method is consistent and convergent. These properties are key and vital for any numerical method to possess for it to be capable of handling initial value problems. The implementation of this method on initial-value problems has been done in previous paper, and it revealed that the method compared favorably well with the other existing explicit Runge Kutta method of the same order. Hence, as a result of the convergence and consistency of the method, it will definitely be reliable and dependable.

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Published

2023-02-06

How to Cite

Christopher, E. A. ., & Edward, O. . (2023). THE DERIVED EXPLICIT FOURTH-STAGE SECOND-ORDER RUNGE-KUTTA METHOD IS CONSISTENT AND CONVERGENT. Journal of Advance Research in Mathematics and Statistics (ISSN 2208-2409), 10(2), 1-4. https://doi.org/10.53555/nnms.v10i2.1519

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