"Runge–Kutta (R–K) methods are the most widely used numerical methods for solving ordinary differential equations. It is especially suitable in the case of ordinary differential equations, where the ...

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We present an algorithm for determining the stepsize in an explicit Runge-Kutta method that is suitable when solving moderately stiff differential equations. The algorithm has a geometric character, ...

The global error estimation and control problem is studied in embedded Runge–Kutta methods applied to ordinary differential equations (ODEs). We consider both n ...

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 ...