The Accuracy of Euler and modified Euler Technique for First Order Ordinary Differential Equations with initial condition

Abstract

The study concerned the accuracy of numerical method in solving first order ordinary differential equations. Euler and Modified Euler techniques have been implemented using different step size 𝑕 and time 𝑡 and the local truncation errors have been calculated. It found that the numerical solutions are not close to analytical and unstable when we increased the time 𝑡, and the local truncation errors are unreasonable