scholarly journals Solving One Dimensional Ground Water Recharge Through Porous Media Using Elzaki Transform

2021 ◽  
pp. 370-376
Author(s):  
Krima B. Patel ◽  
Dr. Kamlesh A. Patel
Keyword(s):  
Porous Media ◽  
Ground Water ◽  
Decomposition Method ◽  
Graphical Representation ◽  
Adomian Decomposition Method ◽  
One Dimensional ◽  
Adomian Decomposition ◽  
Ground Water Recharge ◽  
Water Recharge ◽  
The One

In this paper, we have discussed the application of Elzaki Transform for finding the solution of One-Dimensional Ground Water Recharge through porous media. In this work, we present a reliable combination of Elaki transform and Adomian Decomposition method. The proposed method introduces Adomian polynomials and the nonlinear terms can be handled by the use of this polynomials easily. The Elaki Decomposition Method is used to solve the particular problem. The purpose of this method is to extend the application of Elzaki Decomposition Method. The proposed method worked perfectly to find the One-Dimensional Ground Water Recharge through porous media problem. We obtain numerical solution and graphical representation.

Nonlinear singular one dimensional thermo-elasticity coupled system and double Laplace decomposition methods

Filomat ◽  
2017 ◽  
Vol 31 (20) ◽  
pp. 6269-6280
Author(s):  
Hassan Gadain
Keyword(s):  
Laplace Transform ◽  
Decomposition Method ◽  
Adomian Decomposition Method ◽  
Coupled System ◽  
Decomposition Methods ◽  
One Dimensional ◽  
Convergence Proof ◽  
Double Laplace Transform ◽  
Adomian Decomposition

In this work, combined double Laplace transform and Adomian decomposition method is presented to solve nonlinear singular one dimensional thermo-elasticity coupled system. Moreover, the convergence proof of the double Laplace transform decomposition method applied to our problem. By using one example, our proposed method is illustrated and the obtained results are confirmed.

scholarly journals On a nonlinear singular one-dimensional parabolic equation and double Laplace decomposition method

2017 ◽  
Vol 9 (1) ◽  
pp. 168781401668653 ◽  
Author(s):  
Hassan Eltayeb Gadain ◽  
Imed Bachar
Keyword(s):  
Parabolic Equation ◽  
Laplace Transform ◽  
Convergence Analysis ◽  
Decomposition Method ◽  
Adomian Decomposition Method ◽  
One Dimensional ◽  
Double Laplace Transform ◽  
Adomian Decomposition ◽  
Laplace Decomposition Method

In this article, the double Laplace transform and Adomian decomposition method are used to solve the nonlinear singular one-dimensional parabolic equation. In addition, we studied the convergence analysis of our problem. Using two examples, our proposed method is illustrated and the obtained results are confirmed.

scholarly journals A Note on Conformable Double Laplace Transform and Singular Conformable Pseudoparabolic Equations

2020 ◽  
Vol 2020 ◽  
pp. 1-12
Author(s):  
Hassan Eltayeb ◽  
Said Mesloub
Keyword(s):  
Laplace Transform ◽  
Decomposition Method ◽  
Adomian Decomposition Method ◽  
Pseudoparabolic Equation ◽  
New Approach ◽  
One Dimensional ◽  
Double Laplace Transform ◽  
Adomian Decomposition ◽  
Pseudoparabolic Equations

In this work, we combine conformable double Laplace transform and Adomian decomposition method and present a new approach for solving singular one-dimensional conformable pseudoparabolic equation and conformable coupled pseudoparabolic equation. Furthermore, some examples are given to show the performance of the proposed method.

scholarly journals Exact Solution of Space-Time Fractional Partial Differential Equations by Adomian Decomposition Method

2021 ◽  
pp. 75-87
Author(s):  
Vidya N. Bhadgaonkar ◽  
Bhausaheb R. Sontakke
Keyword(s):  
Exact Solution ◽  
Differential Equations ◽  
Decomposition Method ◽  
Graphical Representation ◽  
Adomian Decomposition Method ◽  
Physical Models ◽  
Partial Differential ◽  
Conduction Model ◽  
Adomian Decomposition ◽  
Present Technique

The intention behind this paper is to achieve exact solution of one dimensional nonlinear fractional partial differential equation(NFPDE) by using Adomian decomposition method(ADM) with suitable initial value. These equations arise in gas dynamic model and heat conduction model. The results show that ADM is powerful, straightforward and relevant to solve NFPDE. To represent usefulness of present technique, solutions of some differential equations in physical models and their graphical representation are done by MATLAB software.

Fractional One-Dimensional Transport Equation Within Spectral Method Combined With Modified Adomian Decomposition Method

2009 ◽  
Author(s):  
Dumitru Baleanu ◽  
Abdelouahab Kadem
Keyword(s):  
Transport Equation ◽  
Spectral Method ◽  
Chebyshev Polynomials ◽  
Decomposition Method ◽  
Adomian Decomposition Method ◽  
Plane Geometry ◽  
One Dimensional ◽  
Dimensional Plane ◽  
Modified Adomian Decomposition Method ◽  
Adomian Decomposition

In this paper the Chebyshev polynomials technique combined with the modified Adomian decomposition method were applied to solve analytically the fractional transport equation in one-dimensional plane geometry.

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