First Order Initial Value Problems: An Explicit One-Step Method Combining Three Interpolants

It is a known fact that mathematics, computational science, and engineering all heavily rely on the numerical solution of initial value problems. In this study, an explicit one- strategy to solve first order initial value problems of ordinary differential equations was derived using a combination of three interpolating functions. Analysis and research are done on developed method’s characteristics. On the three numerical examples of initial value problems, the precision and applicability of the method in the context of the precise solutions were investigated. The method’s outcomes are presented and contrasted in line with them.