Efficient Numerical Method for Solving a Quadratic Riccati Differential Equation

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

Abstract and Applied Analysis, 2024, vol. 2024, 1-11

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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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:1433858

DOI: 10.1155/2024/1433858

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