A Challenge to Solve Complicated Nonlinear Differential Equations in the Engineering Fields and Basic Sciences by New Approach AKLM

Abstract

In this manuscript, we claim that many complicated applied problems in nonlinear differential equations can be answered analytically.And as far as the researchers know, the application of analytical (not numerical) solution in the field of engineering and basic sciences is very important.These virgin methods can be successfully applied in various engineering fields such as mechanics (solid, fluid,heat and mass transfer), electronics, petroleum industry, designing chemical reactors, and also in applied sciences, economics and so on. It is worth noting that these methods are convergent at any form of differential equations, including any number of initial and boundary conditions. During the solution procedure, it is not required to convert or simplify the exponential, trigonometric and logarithmic terms, which enables the user to obtain a highly precise solution This method can be very valuable in solving engineering and basic science problems, and even economics, as a result, we present this method in this article for academic researchers.