Runge-Kutta methods for solving ordinary differential equations

Razmatra se obična diferencijalna jednadžba kao takva te vrste iste. Pažnja je usmjerena na Runge-Kutta metode te njihovu primjenu kroz modeliranje procesa u elektrotehnici. Objašnjava se pojam greške i njezin iznos. Upoznaje se s programom MATLAB i kroz isti se implementiraju Runge-Kuttine metode za numeričko rješavanje običnih diferencijalnih jednadžbi. Uspoređuje se egzaktno i numeričko rješavanje ODJ te razlika manualnog i računalnog aproksimiranja. Runge-Kutta metode su primjenjene na primjer RL kruga.Ordinary differential equations are examined, along with their respective types. Special attention is drawn onto Runge-Kutta methods as well as their application in the field of electrotechnics via process modelling. Definition of error and margin of error are explained. Runge-Kutta methods for numerical ordinary differential equation solving are being implemented by MATLAB code which is explained thoroughly. The comparison is drawn between exact and numerical ODE solving followed by distinction between manual and computational approximation. Runge-Kutta methods are applied to RL circuit