Research
The Variational Iteration Method for Analytic Treatment of Homogeneous and Inhomogeneous Partial Differential Equations
In this paper, the author used the variational iteration method (VIM) to find the analytical solution to homogeneous and inhomogeneous partial differential equations. Few numerical examples were presented to show the effectiveness and efficiency of the method. It was observed that by carefully chosen a very good choice of initial guess leads to a solution in a closed form. The method is elegant and reliable.
Further Results on Modified Variational Iteration Method for the Analytical Solution of Nonlinear Advection Equations
In this paper, the result shows that the method is elegant and reliable with less computational efforts. This method is strongly recommended for the solution of strongly nonlinear partial differential equations and systems of differential equations further to our results in [12] on the solution of nonlinear advection equations, we present a further results on the nonlinear non-homogeneous advection equations using a modified variational iteration method.
