An efficient laplace decomposition algorithm for fourth order parabolic partial differential equations with variable coefficients

The purpose of this article is to introduce a new algorithm, namely Laplace Decomposition Algorithm (LDA) for fourth order parabolic partial differential equations with variable coefficients. This equation arises in the transverse vibration problems. The proposed iterative scheme finds the solution without any discretization, linearization and other restrictive assumptions. Some applications are given to verify the reliability and efficiency of the method. This new algorithm provides us with a convenient way to find exact solution with less computation.