Work

THIRD DERIVATIVE MONO-IMPLICIT RUNGE-KUTTA METHODS FOR STIFF ODEs

Year: 2025

Type: article

Abstract: This work focuses on a Third-Derivative Mono-Implicit Runge–Kutta (TD-MIRK) method developed for the numerical approximation of stiff initial value problems (IVPs) in ordinary differential equations. The order conditions for the scheme are derived using Taylor series expansions. We introduce a seventh-order TD-MIRK method constructed to require the least possible number of function evaluations. The numerical experiments are then compared with well-known methods previously reported in the literature.

Source: The Transactions of the Nigerian Association of Mathematical Physics

DOI: 10.60787/tnamp.v23.623

Authors: AIHIE, I. B., OKUONGHAE, R. I.

Institution: University of Benin

Language: English

Topic: Numerical methods for differential equations

Subfield: Numerical Analysis

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W7119196172

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