Numerical Solution of First Order Initial Value Problems Using Euler and Taylor methods, and comparing the solutions by using the Java language

Abstract

This research aims to find numerical solution of first order initial value problems using
Euler and Taylor methods, and comparing the solutions by using the Java language.
There is an example in the literature where solutions obtained manually are compared
with results obtained using a method based on programming in Java. Initial results
indicated that the use of the Java language helped to obtain more accurate results for
solving this type of equation with the least error rate and the fastest possible time. This
study recommends the use of various mathematical programs to help both the student
and the teacher solve most mathematical problems in a faster and less errors way