Simulation of Singular Fourth- Order Partial Differential Equations Using the Fourier Transform Combined With Variational Iteration Method

In this paper, we present a comparative study between the modified variational iteration method (mvim)and a hybrid of fourier transform and variational iteration method (ftvim). the study outlines the efficiencyand convergence of the two methods. the analysis is illustrated by investigating four singular partial differentialequations with variable coefficients. the solution of singular partial differential equations usually needs a coordinatetransformation in order to discard the singularity of the partial differential equation. most often this transformationis not applicable and even does not exist. therefore in this case the solution for the singular partial differentialequation does not exist. in the present study the results of simulation for the singular partial differential equationswith variable coefficients using the fourier transform variational iteration method are compared with the resultsof simulation using the modified variational iteration method. the comparison shows that the effectiveness andaccuracy of fourier transform variational iteration method is more than that of the modified variational iterationmethod for the simulation of singular partial differential equations.