Applications of Homotopy Perturbation Method to Partial Differential Equations

[1]  Jafar Biazar,et al.  He's homotopy perturbation method for solving systems of Volterra integral equations of the second kind , 2009 .

[2]  Ji-Huan He,et al.  Homotopy perturbation method: a new nonlinear analytical technique , 2003, Appl. Math. Comput..

[3]  Abdul-Majid Wazwaz,et al.  The modified decomposition method for analytic treatment of differential equations , 2006, Appl. Math. Comput..

[4]  N. Tolou,et al.  Explicit Solution of Non-Linear Fourth-Order Parabolic Equations via Homotopy Perturbation Method , 2008 .

[5]  Mehdi Dehghan,et al.  Numerical solution of one-dimensional parabolic inverse problem , 2003, Appl. Math. Comput..

[6]  Jafar Biazar,et al.  An improvement to an alternate algorithm for computing Adomian polynomials in special cases , 2006, Appl. Math. Comput..

[7]  M. Dehghan.  Second-order schemes for a boundary value problem with Neumann's boundary conditions , 2002 .

[8]  Jafar Biazar,et al.  On the order of convergence of Adomian method , 2002, Appl. Math. Comput..

[9]  Ji-Huan He.  HOMOTOPY PERTURBATION METHOD FOR SOLVING BOUNDARY VALUE PROBLEMS , 2006 .

[10]  I. Hashim,et al.  Solutions of time-dependent Emden-Fowler type equations by homotopy-perturbation method , 2007 .

[11]  Y. Cherruault,et al.  A computational approach to the wave equations , 2004 .

[12]  Ji-Huan He.  Application of homotopy perturbation method to nonlinear wave equations , 2005 .

[13]  Ji-Huan He.  Homotopy perturbation technique , 1999 .

[14]  Ji-Huan He,et al.  A simple perturbation approach to Blasius equation , 2003, Appl. Math. Comput..

[16]  A. Barari,et al.  Assessment of He`s Homotopy Perturbation Method in Burgers and Coupled Burgers` Equations , 2008 .

[17]  Dogan Kaya,et al.  Comparing numerical methods for Helmholtz equation model problem , 2004, Appl. Math. Comput..

[18]  Manoj Kumar.  A difference method for singular two-point boundary value problems , 2003, Appl. Math. Comput..

[19]  Saeid Abbasbandy,et al.  Application of He’s homotopy perturbation method to functional integral equations , 2007 .

[20]  Serdal Pamuk,et al.  An application for linear and nonlinear heat equations by Adomian's decomposition method , 2005, Appl. Math. Comput..