A note on double Laplace decomposition method and nonlinear partial differential equations

Abstract

Abstract:In this article we propose a new technique, namely double Laplace decomposition method for solving nonlinear partial differential equation. The technique is described and illustrated with some examples.

Double Laplace iterative method for solving nonlinear partial differential equations

“…In [18,19], nonlinear telegraph and Klein-Gordon equations are solved using double Laplace transform coupled with new iterative method [20]. Recently in 2017, Eltayeb [21] combined double Laplace transform with Adomian decomposition method to solve nonlinear partial differential equations.…”

“…We consider a general nonlinear partial differential equation which covers almost all the nonlinear partial differential equations solved in [13,14,15,18,19,21], of the form :…”

New integral transform: Shehu transform a generalization of Sumudu and Laplace transform for solving differential equations

“…The double integral transform was successfully applied to second order partial differential equation with singularity called the twodimensional Mboctara equation [41]. Recently, Eltayeb applied double Laplace decomposition method to nonlinear partial differential equations [42]. In 2017, Belgacem el at.…”

New Integral Transform: Shehu Transform a Generalization of Sumudu and Laplace Transform for Solving Differential Equations

“…The double integral transform was successfully applied to second order partial differential equation with singularity called the two-dimensional Mboctara equation [41]. Recently, Eltayeb applied double Laplace decomposition method to nonlinear partial differential equations [42]. In 2017, Belgacem el at.…”