This paper presents a new approach for finding analytic solutions to the Belousov–Zhabotinsky system by combining Adomian decomposition method (ADM) and homotopy perturbation (HPM) with Elzaki transform. The ADM HPM are both powerful techniques solving nonlinear differential equations, their combination allows more efficient accurate solution. transform, on other hand, is mathematical tool that...

This comparative study of fractional nonlinear Burger’s equations and their systems has been done using two efficient analytical techniques. The generalized schemes the proposed techniques for suggested problems are obtained in a very sophisticated manner. numerical examples have solved Laplace residual power series method Elzaki transform decomposition method. results compared through graphs t...

The series solutions of the random nonlinear partial differential equations have been examined by a hybrid method. are studied both normal and uniform distributions. Two initial-value problems indicated to exemplify influence acquired Also, functions for first second moments approximate in MAPLE software. method is implemented analyze equations. software used find solutions. Besides, drawing fi...

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 ...

The approximate solutions of the time fractional advection-dispersion equation are presented in this article. nonlocal nature solute movement and nonuniformity fluid flow velocity process lead to formation a heterogeneous system, which can be modeled using equation, generalizes classical replaces derivative with Caputo derivative. Researchers use variety numerical techniques study such models, ...