• APPROXIMATE ANALYTICAL SOLUTION OF NON LINEAR EQUATION IN BIOLOGICAL MEMBRANE USING SINGLE PARAMETER HPM

Abstract

Traditional perturbation methods depend on a small parameter which is difficult to be found for real-life nonlinear problems. To overcome this problem, in this article a powerful analytical methods (single parameter homotopy perturbation method (HPM)) is applied to solve nonlinear differential equation in biological membrane. Proper graphs will be used to illustrate the obtained results. The proposed analysis demonstrates reliability and efficiency applicability of the employed method. In this paper we obtained the approximate analytical solutions for the non linear equations under non steady state conditions using single parameter homotopy perturbation method. Simple and approximate polynomial expressions for the concentration of spices are obtained.