NUMERICAL COMPARISON OF VARIOUS ORDER EXPLICIT RUNGE KUTTA METHODS WITH MATLAB ODE SOLVER | Asian

The goal of this work is to investigate the numerical computing of ordinary differential equations and to demonstrate the details of implementing a few steps of explicit Runge-Kutta methods, as well as how to use MATLAB's built-in functions (2009a). To present the essential notions connected with initial value problems, we employ several Explicit RungeKutta methods in the first half (IVP). The Runge-Kutta and Runge-Kutta Fehlberg methods are presented in the second half, together with the built-in MATLAB solver Ode45. The implementations we present in this research are intended to foster intuition and serve as a bridge between textbook formulas on ode and production software. To demonstrate the accuracy and resilience of these numerical methods, a numerical example is provided.

Please see the link :- https://www.ikprress.org/index.php/AJOMCOR/article/view/4150