A desktop application built with C# and Windows Forms that numerically solves first-order ordinary differential equations (ODEs) using the Runge-Kutta methods (RK1 ...

Use the Runge-Kutta-Gill's method of order 4 to solve Ordinary Differential Equations. https://www.geeksforgeeks.org/gills-4th-order-method-to-solve-differential ...

SIAM Journal on Numerical Analysis, Vol. 26, No. 2 (Apr., 1989), pp. 414-429 (16 pages) Implicit Runge-Kutta-Nyström (RKN) methods are constructed for the integration of second-order differential ...

Abstract: The Falkner-Skan equation governs boundary layer flows in fluid mechanics and aerodynamics. This study compares computational techniques for solving it, analyzing efficacy, performance, and ...

The aim of this paper is to analyze explicit exponential Runge-Kutta methods for the time integration of semilinear parabolic problems. The analysis is performed in an abstract Banach space framework ...

Abstract: Transient phenomena, resulting from abrupt changes in currents and voltages during switching events, are commonly encountered in circuits. RLC circuits, comprising resistors, inductors, and ...