This paper reflects the implementation of homotopy perturbation method (HPM) on the re-formulated systems of fourth-order parabolic partial differential equations. Numerical results explicitly reveal the complete reliability of the proposed algorithm.

in this paper, we investigate some properties of eigenvalues and eigenfunctions of boundary value problems with separated boundary conditions. also, we obtain formal series solutions for some partial differential equations associated with the second order differential equation, and study necessary and sufficient conditions for the negative and positive eigenvalues of the boundary value problem....

In this article, a Picone-type identity for the weighted p-biharmonic operator is established and comparison results for a class of half-linear partial differential equations of fourth order based on this identity are derived.

Three dimensional flow of non-Newtonian viscoelastic fluid with the variation in the viscosity over a stretching surface is investigated. The governing partial differential equations of continuity, momemtum, energy and concentration are transformed into nonlinear ordinary differential equations by using similarity transformations. The transformed equations are solved numerically by fourth-order...

He’s variational iteration method is applied to fourth-order parabolic partial differential equations with variable coefficients. To illustrate the ability and reliability of the method, some examples are given, revealing its effectiveness and simplicity. c © 2007 Published by Elsevier Ltd