Method of Nonlinear Transformation for Obtaining Approximate Analytic Solution of Nonlinear Ordinary Differential Equation. II

Abstract

It is shown that the method of nonlinear transformation (NTR) is a powerful tool for obtaining approximate analytic solutions of nonlinear ordinary differential equations (ODEs). Special attention is paid to the performance of a family of double exponential NTRs. Applications of the double exponential NTRs to some nonlinear third order ODEs in the normal form are given with numerical examples.