A Comparative Study on Classical Fourth Order and Butcher Sixth Order Runge-Kutta Methods with Initial and Boundary Value Problems

Differential equations (DEs) are of great use in modeling different real life problems arising in science and engineering (Arora, 2019). Model equations for-med by using DEs get complicated and several times it becomes quite difficult to find its exact solution (Ahmed and Iqbal, 2020). However, to find the exact solution of a complicated model equation a practice is to simplify the model equation and then find the exact solution of the simplified equation, after then they obtained result is used to approximate the original equation (Islam, 2015).

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