Euler's method is a simple numerical technique for solving ordinary differential equations (ODEs) of the form: [ \frac {dy} {dx} = f (x, y) ] Given an initial value ( y (x_0) = y_0 ), Euler's method ...

A practical and accessible introduction to numerical methods for stochastic differential equations is given. The reader is assumed to be familiar with Euler's method for deterministic differential ...

Abstract This paper mainly presents Euler method and fourth-order Runge Kutta Method (RK4) for solving initial value problems (IVP) for ordinary differential equations (ODE). The two proposed methods ...