Work

Stability Analysis of a Sixth-Stage Fifth-Order Runge-Kutta Method for Solving Initial Value Problems

Year: 2025

Type: article

Abstract: This article investigates the stability of a sixth-stage, fifth- order Runge-kutta method which had already been derived in our previous results. The method is subjected to the test equation given as y = λy, where a complex constant is λ, and the resulting expansion and algebraic manipulations were done with the help of Maple-18 and Matlab package, to ease the simplification of the computation. The region of stability in the method is determined to verify the nature of the stability of the method, using Matlab package.

Source: International Journal on Science and Technology

DOI: 10.71097/ijsat.v16.i2.6476

Authors: V P Singh -, SWati Singh -

Language: English

Topic: Numerical methods for differential equations

Subfield: Numerical Analysis

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

OpenAlex ID: W4411597704

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