Analytical Solution of Two Dimensional Fourth Orders Parabolic Partial Differential Equation Using Triple Laplace Transform Coupled With Iterative Method.

Abstract

This study presents triple Laplace transform coupled with iterative method to obtain the exact solution of two dimensional nonlinear fourth order parabolic partial differential equation subject to the appropriate initial and boundary conditions. The noise term in this equation is vanished by successive iterative method. The proposed technique has the advantage of producing exact solution and it is easily applied to the given problems analytically. Two test problems from mathematical physics are taken to show the accuracy, convergence and the efficiency of the proposed method. Furthermore, the results indicate that the introduced method is promising for solving other type nonlinear partial differential equations.