A Hybrid Functions Method for Solving Linear and Non-linear Systems of Ordinary Differential Equations

Abstract

In the present paper, we use a hybrid method to solve linear or non-linear
systems of ordinary dierential equations (ODEs). By using this method, these systems are reduced to a linear or non-linear system of algebraic equations. In error discussion of the suggested method, an upper bound of the error is obtained. Also, to survey the accuracy and the eciency of the present method, some examples will be solved and comparisons between the obtained results with those of several other methods are carried out.