Published December 30, 2023
| Version CC BY-NC-ND 4.0
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Consistency and Convergence Analysis of an πΉ(π₯,π¦) Functionally Derived Explicit Fifth-Stage Fourth-Order Runge-Kutta Method
- 1. Department of Statistics, Federal Polytechnic, Auchi, Edo State, Nigeria.
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- 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 π(π,π) 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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Additional details
Identifiers
- DOI
- 10.35940/ijbsac.A1145.1210423
- ISSN
- 2394-367X
Dates
- Accepted
-
2023-12-15Manuscript 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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