An Analysis of Numerical Solutions and Errors with Euler’s Method

Abstract: The Euler technique for solving initial value problems (IVP) for ordinary differential equations is the focus of this work (ODE). The proposed strategy is both efficient and practical for resolving these issues. We compare numerical results to precise solutions in order to ensure correctness. The precise answers and the numerical solutions are in good agreement. The step size must be very tiny in order to attain more precision in the solution. Finally, we look into and calculate the errors of the system. For varied step sizes, use Euler's technique.

Keywords: ODE, IVP, Euler method