In this paper, by means of the homotopy analysis method (HAM), the solutions of some fourthorder parabolic partial differential equations are exactly obtained in the form of convergent Taylor series. The HAM contains the auxiliary parameter h that provides a convenient way of controlling the convergent region of series solutions. This analytical method is employed to solve linear examples to obtain the exact solutions. The results reveal that the proposed method is very effective and simple.
Matinfar, M. and Saeidy, M.
Application of Homotopy analysis method to fourth-order parabolic partial differential equations,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 5,
1, Article 6.
Available at: https://digitalcommons.pvamu.edu/aam/vol5/iss1/6