RK method is the iterative method of finding approximate solution of ordinary differential equation. Runge–Kutta (R–K) methods are the most widely used numerical methods for solving ordinary ...

Abstract: This paper analyzes the modification of fourth order Runge-Kutta Method based on Trapezoid approach for calculating a distance of accelerometer sensor. This modification is done to obtain ...

Where the SSP property is needed, IMEX SSP Runge–Kutta (SSP-IMEX) methods have very restrictive time-steps. An alternative to SSP-IMEX schemes is to adopt an integrating factor approach to handle the ...

Abstract: The stability of Runge-Kutta methods for systems of delay differential equations (DDEs) with multiple delays is considered. The stability regions of explicit and implicit Runge-Kutta methods ...