An accelerated hybrid Euler’s method for numerical integration of ordinary differential equations

Abstract

The theme of this study is to develop hybrid Euler’s method from the chain of Euler’s methods, to compute the numerical resolution of initial value problems (IVPs) of ordinary differential equations (ODEs). In this work number of (IVPs) are taken from literature to check absolute error and stability of method. It is observed that computed results from the proposed method are consistent and stabile under the circumstance of region. From the results it is concluded that the defined algorithm minimizes the error of computation for specified accuracy of solution.

Keywords: Ordinary differential equations, IVP’s, Improved, Modified Euler’s,