Math. J. Interdiscip. Sci.

Mahgoub Deterioration Method and its Application in Solving Duo-combination of Nonlinear PDEs

R Khandelwal, Y Khandelwal and Pawan Chanchal

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Mahgoub deterioration method (MDM), Duocombination of Nonlinear PDE’s

PUBLISHED DATE September, 2018
PUBLISHER The Author(s) 2018. This article is published with open access at

This paper aims to solve Duo-combination of non linear partial differential equations by a latest approach called Mahgoub deterioration method (MDM). The latest technique is mix of the Mahgoub transform furthermore the, Adomian deterioration method. The generalized solution has been proved. Mahgoub deterioration method (MDM) is a very successful tool for finding the correct solution of linear and non linear partial differential equations. The continuance and uniqueness of solution is based on MDM.


Multiple problems in Mathematics are carved by nonlinear partial differential equation. Various researchers are putting efforts to go through these problems finding the correct or almost accurate solutions using diverse procedure. A thousand and one researchers were keen in solving differential equations as well as paid immersion in going through the solution of nonlinear partial differential equations by several approaches. In the past few years, a number of integral transforms have been introduced which help us in solving ODEs and PDEs. We have applied Mahgoub deterioration method to find the exact solution to solve duo-combination of nonlinear partial differential equations (CSNLPDEs). A new Mahgoub Transform are introduced by (Mahgoub, 2016). Dualism between Mahgoub integral transform and some integral transforms have been found (Nidal, 2017). The utility of Mahgoub integral transform method (Fadhil et. al. 2017, Nidal et. al. 2017, Khandelwal et al. 2018) exists in the literature to solve partial differential equations, ordinary differential equations, fractional ordinary differential equation and integral equations. We can see that several problems in the field of Physics and Engineering have been found to show the accuracy of the MDM.

Page(s) 37-44
ISSN Print: 2278-9561, Online: 2278-957X

The Mahgoub deterioration method (MDM) is used for solving the combination of non linear duo partial differential equation with initial conditions. We found MDM is powerful and easy – to- use analytic tool for PDE’s and thus, the present study highlights the efficiency of the method. Also, we get the exact solution when compared to the result with NDM (Rawashdeh, 2014). This clearly shows that Mahgoub deterioration method can play an important role in future for solving nonlinear PDE’s.

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