Numerical Solutions for the Nonlinear PDEs of Fractional Order by Using a New Double Integral Transform with Variational Iteration Method

This paper considers a new Double Integral transform called Sumudu-Elzaki DSET. The combining of the DSET with semi-analytical method, namely variational iteration method DSETVIM, to arrive numerical solution nonlinear PDEs Fractional Order derivatives. proposed dual property decreases number calculations required, so these two methods leads calculating solution's speed. suggested technique is tested on four problems. results demonstrated that solving types equations using DSETVIM was more advantageous and efficient