A 4-Stage Runge-Kutta Type Method for Solution of Stiff Ordinary Differential Equations

In this paper, a 2 step implicit block hybrid linear multistep method was reformulated into a 4-stage block hybrid Runge-Kutta Type Method via the butcher analysis. The method can be used to solve first order stiff ordinary differential equations. A numerical example solved with the proposed method showed a better result in comparison with an existing method.

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Publication Details

Journal
Pan-American Journal of Mathematics
Published
2024-09-09
DOI
https://doi.org/10.28919/cpr-pajm/3-21
Primary Topic
Numerical methods for differential equations
Type
article
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article

A 4-Stage Runge-Kutta Type Method for Solution of Stiff Ordinary Differential Equations

Abdulmalik Oyedeji, Raihanatu Muhammad
Pan-American Journal of Mathematics
Numerical methods for differential equations
article

A 4-Stage Runge-Kutta Type Method for Solution of Stiff Ordinary Differential Equations

Abdulmalik Oyedeji, Raihanatu Muhammad
article en

Abstract

In this paper, a 2 step implicit block hybrid linear multistep method was reformulated into a 4-stage block hybrid Runge-Kutta Type Method via the butcher analysis. The method can be used to solve first order stiff ordinary differential equations. A numerical example solved with the proposed method showed a better result in comparison with an existing method.

Pan-American Journal of MathematicsVol. 3
University of Tennessee at Knoxville (US), Federal University of Technology Minna (NG)
Openalex Percentile: Top 77%
Numerical methods for differential equations
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