ABSTRACT
In this work, we have revised and extended the work from Charkrit (2013b) by generalizing to the initial point at https://www.w3.org/1998/Math/MathML"> t = t 0 https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780429227202/7e950746-38f4-4035-8ec6-0dcc19f8564d/content/eq813.tif" xmlns:xlink="https://www.w3.org/1999/xlink"/> . The purpose of this work is to introduce the new approach for finding solutions of some first and second order initial value problems in linear and nonlinear forms. By using simple and effective formulas and iterative method, solutions can be obtained easily. Moreover, we give further conditions to complete the work from (2013b). In addition, several examples are demonstrated the efficiency of this new method.
