New modification of Laplace decomposition method for seventh order KdV equation

2013 ◽  
Author(s):  
B. S. Kashkari ◽  
H. O. Bakodah
Keyword(s):  
Decomposition Method ◽  
Kdv Equation ◽  
Seventh Order ◽  
Laplace Decomposition Method

Laplace Decomposition Method to Study Solitary Wave Solutions of Coupled Nonlinear Partial Differential Equation

2012 ◽  
Vol 2012 ◽  
pp. 1-5
Author(s):  
Arun Kumar ◽  
Ram Dayal Pankaj
Keyword(s):  
Differential Equation ◽  
Partial Differential Equation ◽  
Decomposition Method ◽  
Numerical Solutions ◽  
Kdv Equation ◽  
Nonlinear Partial Differential Equation ◽  
Weak Nonlinearity ◽  
Partial Differential ◽  
New Approach ◽  
Laplace Decomposition Method

Analytical and numerical solutions are obtained for coupled nonlinear partial differential equation by the well-known Laplace decomposition method. We combined Laplace transform and Adomain decomposition method and present a new approach for solving coupled Schrödinger-Korteweg-de Vries (Sch-KdV) equation. The method does not need linearization, weak nonlinearity assumptions, or perturbation theory. We compared the numerical solutions with corresponding analytical solutions.

scholarly journals Comparison of Numerical Methods for SWW Equations

2019 ◽  
Vol 7 (09) ◽  
Author(s):  
Shkelqim Hajrulla ◽  
Leonard Bezati ◽  
Besiana Hamzallari
Keyword(s):  
Wave Equation ◽  
Numerical Methods ◽  
Finite Volume Method ◽  
Water Wave ◽  
Decomposition Method ◽  
Wave Equations ◽  
Kdv Equation ◽  
The Third ◽  
Laplace Decomposition Method ◽  
Volume Method

Abstract: In this paper we consider three methods of approximation for the nonlinear water wave equation. In particular we are interested of KdV equation as a stationary water wave. The first is the method of approximation with a polynomial, the second method is the finite–volume method and the third method is Laplace decomposition method (LDM). A comparison between the methods is mentioned in this article. We treat the considered methods comparing the obtained solutions with the exact ones. We give in particular the numerical results compared with the analytical results. We show that the used methods are effective and convenient for solving the water wave equations. We can propose and sure that the method of approximation with a polynomial gives accurate results.

scholarly journals Solution for fractional forced KdV equation using fractional natural decomposition method

2020 ◽  
Vol 5 (2) ◽  
pp. 798-810 ◽  
Author(s):  
P. Veeresha ◽  
◽  
D. G. Prakasha ◽  
Jagdev Singh ◽  
◽  
...  
Keyword(s):  
Decomposition Method ◽  
Kdv Equation ◽  
Natural Decomposition

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.

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