Solution of Nonlinear Coupled Burger and Linear Burgers Equation

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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Enhanced Homotopy Perturbation Method (EHPM) and Boubaker Polynomials Expansion Scheme (BPES) Comparative Solutions to Partial Differential Equations Systems Governing Non-isothermal Tubular Chemical Reactors

Current Physical Chemistry ◽

10.2174/1877946811303020012 ◽

2013 ◽

Vol 3 (2) ◽

pp. 219-224 ◽

Cited By ~ 1

Author(s):

Mostafa Eslami ◽

Babak Soltanalizadeh ◽

Karem Boubaker

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Perturbation Method ◽

Homotopy Perturbation Method ◽

Chemical Reactors ◽

Partial Differential ◽

Homotopy Perturbation ◽

Boubaker Polynomials ◽

Expansion Scheme

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Comparison between the homotopy perturbation method and the variational iteration method for linear fractional partial differential equations

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2006.12.037 ◽

2007 ◽

Vol 54 (7-8) ◽

pp. 910-919 ◽

Cited By ~ 96

Author(s):

Shaher Momani ◽

Zaid Odibat

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Perturbation Method ◽

Iteration Method ◽

Homotopy Perturbation Method ◽

Variational Iteration Method ◽

Fractional Partial Differential Equations ◽

Partial Differential ◽

Variational Iteration ◽

Homotopy Perturbation

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WITHDRAWN: Convergence of the homotopy perturbation method used for ordinary and partial differential equations

Mathematical and Computer Modelling ◽

10.1016/j.mcm.2011.04.005 ◽

2011 ◽

Author(s):

M. Turkyilmazoglu

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Perturbation Method ◽

Homotopy Perturbation Method ◽

Partial Differential ◽

Homotopy Perturbation

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Applications of Homotopy Perturbation Method to Partial Differential Equations

Asian Journal of Mathematics & Statistics ◽

10.3923/ajms.2011.140.150 ◽

2011 ◽

Vol 4 (3) ◽

pp. 140-150 ◽

Cited By ~ 10

Author(s):

P.R. Sharma ◽

Giriraj Methi

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Perturbation Method ◽

Homotopy Perturbation Method ◽

Partial Differential ◽

Homotopy Perturbation

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Analytical approach to fractional partial differential equations in fluid mechanics by means of the homotopy perturbation method

International Journal of Numerical Methods for Heat &amp Fluid Flow ◽

10.1108/09615531011016957 ◽

2010 ◽

Vol 20 (2) ◽

pp. 186-200 ◽

Cited By ~ 40

Author(s):

Ahmet Yıldırım

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Fluid Mechanics ◽

Perturbation Method ◽

Analytical Approach ◽

Homotopy Perturbation Method ◽

Fractional Partial Differential Equations ◽

Partial Differential ◽

Homotopy Perturbation

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Adaptive interpolation wavelet and homotopy perturbation method for partial differential equations

Journal of Physics Conference Series ◽

10.1088/1742-6596/96/1/012075 ◽

2008 ◽

Vol 96 ◽

pp. 012075

Author(s):

Q Ma ◽

S Mei

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Perturbation Method ◽

Homotopy Perturbation Method ◽

Partial Differential ◽

Homotopy Perturbation ◽

Adaptive Interpolation

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Study of convergence of homotopy perturbation method for systems of partial differential equations

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2009.03.030 ◽

2009 ◽

Vol 58 (11-12) ◽

pp. 2221-2230 ◽

Cited By ~ 35

Author(s):

Jafar Biazar ◽

Hossein Aminikhah

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Perturbation Method ◽

Homotopy Perturbation Method ◽

Partial Differential ◽

Homotopy Perturbation

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The Solution of the Variable Coefficients Fourth-Order Parabolic Partial Differential Equations by the Homotopy Perturbation Method

Zeitschrift für Naturforschung A ◽

10.1515/zna-2009-7-803 ◽

2009 ◽

Vol 64 (7-8) ◽

pp. 420-430 ◽

Cited By ~ 78

Author(s):

Mehdi Dehghan ◽

Jalil Manafian

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Perturbation Method ◽

Fourth Order ◽

Homotopy Perturbation Method ◽

Variable Coefficients ◽

Parabolic Partial Differential Equation ◽

Parabolic Partial Differential Equations ◽

Partial Differential ◽

Homotopy Perturbation

AbstractIn this work, the homotopy perturbation method proposed by Ji-Huan He [1] is applied to solve both linear and nonlinear boundary value problems for fourth-order partial differential equations. The numerical results obtained with minimum amount of computation are compared with the exact solution to show the efficiency of the method. The results show that the homotopy perturbation method is of high accuracy and efficient for solving the fourth-order parabolic partial differential equation with variable coefficients. The results show also that the introduced method is a powerful tool for solving the fourth-order parabolic partial differential equations.

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