Efficient Numerical Method for Solving a Quadratic Riccati Differential Equation
In: Abstract and Applied Analysis, Jg. 2024 (2024)
Online
academicJournal
Zugriff:
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.
Titel: |
Efficient Numerical Method for Solving a Quadratic Riccati Differential Equation
|
---|---|
Autor/in / Beteiligte Person: | Wendafrash Seyid Yirga ; Fasika Wondimu Gelu ; Wondwosen Gebeyaw Melesse ; Gemechis File Duressa |
Link: | |
Zeitschrift: | Abstract and Applied Analysis, Jg. 2024 (2024) |
Veröffentlichung: | Hindawi Limited, 2024 |
Medientyp: | academicJournal |
ISSN: | 1687-0409 (print) |
DOI: | 10.1155/2024/1433858 |
Schlagwort: |
|
Sonstiges: |
|