Laplace Variational Method for System of Partial Differential Equations

The dynamics of complex biological systems can be analyzed with the aid of mathematical models. These mathematical models are mostly based on systems of coupled linear or nonlinear partial differential equations. The semi-analytic technique Laplace Variational Method has been presented in this article and is successfully applied to different mathematical models. The method simplifies the basic application procedure of Variational Iteration Method by applying the Laplace transformation. We have confirmed this advantage of this method over other methods with the help of examples and their comparative analysis.