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

2013 ◽  
Vol 3 (2) ◽  
pp. 219-224 ◽  
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

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

2009 ◽  
Vol 64 (7-8) ◽  
pp. 420-430 ◽  
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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