Efficient Numerical Method for Solving a Quadratic Riccati Differential Equation

Wendafrash Seyid Yirga, Fasika Wondimu Gelu, Wondwosen Gebeyaw Melesse and Gemechis File Duressa

Abstract and Applied Analysis, 2024, vol. 2024, issue 1

Abstract: This study presents families of the fourth‐order Runge–Kutta methods for solving a quadratic Riccati differential equation. From these families, the England version is more efficient than other fourth‐order Runge–Kutta methods and practically well‐suited for solving initial value problems in general and quadratic Riccati differential equation in particular. The stability analysis of the present method is well‐established. In order to verify the accuracy, we compared the numerical solutions obtained using the England version of fourth‐order Runge–Kutta method with the recently published works reported in the literature. Several counter examples are solved using the present methods to demonstrate their reliability and efficiency.

Date: 2024
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https://doi.org/10.1155/2024/1433858

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2024:y:2024:i:1:n:1433858

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