Application of the Homotopy Perturbation Method to the Burgers Equation with Delay

2012 ◽  
Vol 29 (3) ◽  
pp. 030202 ◽  
Author(s):  
S. Karimi Vanani ◽  
F. Soleymani
Keyword(s):  
Perturbation Method ◽  
Homotopy Perturbation Method ◽  
Burgers Equation ◽  
Homotopy Perturbation ◽  
Equation With Delay

The Variational Iteration Method and the Variational Homotopy Perturbation Method for Solving the KdV-Burgers Equation and the Sharma-Tasso-Olver Equation

2010 ◽  
Vol 65 (1-2) ◽  
pp. 25-33 ◽  
Author(s):  
Elsayed M. E. Zayed ◽  
Hanan M. Abdel Rahman
Keyword(s):  
Perturbation Method ◽  
Iteration Method ◽  
Homotopy Perturbation Method ◽  
Numerical Solutions ◽  
Burgers Equation ◽  
Nonlinear Problems ◽  
Variational Iteration Method ◽  
Alternative Methods ◽  
Variational Iteration ◽  
Homotopy Perturbation

AbstractIn this article, two powerful analytical methods called the variational iteration method (VIM) and the variational homotopy perturbation method (VHPM) are introduced to obtain the exact and the numerical solutions of the (2+1)-dimensional Korteweg-de Vries-Burgers (KdVB) equation and the (1+1)-dimensional Sharma-Tasso-Olver equation. The main objective of the present article is to propose alternative methods of solutions, which avoid linearization and physical unrealistic assumptions. The results show that these methods are very efficient, convenient and can be applied to a large class of nonlinear problems.

scholarly journals Solution of Nonlinear Coupled Burger and Linear Burgers Equation

2018 ◽  
Vol 7 (4.10) ◽  
pp. 670
Author(s):  
N. Fatima ◽  
M. Dhariwal
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Perturbation Method ◽  
Homotopy Perturbation Method ◽  
Burgers Equation ◽  
Final Conclusion ◽  
Partial Differential ◽  
Analytical Technique ◽  
Homotopy Perturbation ◽  
Modern Engineering

This paper applies an analytical technique, called Homotopy Perturbation Method to determine various problems of partial differential equations and coupled Burger equations in one and two dimension equations. The final conclusion confirms that the HPM is eventually useful as well as resourceful in predicting the explanation of these kind of problems and it further concludes that HPM could be a broad utilization in modern engineering complication. 

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