The Modified Homotopy Algorithm for Dispersion Phenomena

The main objective of the propose analysis is to find approximate analytical solution of nonlinear partial differential equation arsing in longitudinal dispersion phenomena by means of new and reliable algorithm called the modified homotopy analysis method (MHAM). The present analysis revels that the MHAM is very efficient to handle the nonlinear partial differential equation. The convergence rate of the MHAM is very faster comparative to other standard methods due to the presence of fractional factor 1 n m and the convergence parameter h . The graphical results obtained from the proposed method shows its efficiency to handle nonlinear problems.