On the approximation of integrals using homotopy perturbation method

In this paper, an application of the homotoy perturbation method is proposed to approximate integrals that cannot be expressed in terms of analytical functions. This approach rests on the recently developed modification of the homotopy perturbation method. The analysis is accompanied by examples that demonstrate reliability and efficiency of the algorithm developed.

[1]  T. Hayat,et al.  Homotopy Perturbation Method and Axisymmetric Flow over a Stretching Sheet , 2006 .

[2]  Ji-Huan He.  SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS , 2006 .

[3]  D Gangi,et al.  APPLICATION OF HES HOMOTOPY-PERTURBATION METHOD TO NONLINEAR COUPLED SYSTEMS OF REACTION-DIFFUSION EQUATIONS , 2006 .

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

[5]  Changbum Chun,et al.  Integration using He’s homotopy perturbation method , 2007 .

[6]  Ji-Huan He.  A coupling method of a homotopy technique and a perturbation technique for non-linear problems , 2000 .

[7]  Augusto Beléndez,et al.  Application of He's Homotopy Perturbation Method to the Duffing-Harmonic Oscillator , 2007 .

[8]  R. Mahmood,et al.  Thin Film Flow of a Third Grade Fluid on a Moving Belt by He's Homotopy Perturbation Method , 2006 .

[9]  Ji-Huan He.  Periodic solutions and bifurcations of delay-differential equations , 2005 .

[10]  Ji-Huan He.  Limit cycle and bifurcation of nonlinear problems , 2005 .

[11]  Ji-Huan He.  Homotopy Perturbation Method for Bifurcation of Nonlinear Problems , 2005 .

[12]  Saeid Abbasbandy,et al.  Numerical solutions of the integral equations: Homotopy perturbation method and Adomian's decomposition method , 2006, Appl. Math. Comput..

[13]  Zaid M. Odibat,et al.  A new modification of the homotopy perturbation method for linear and nonlinear operators , 2007, Appl. Math. Comput..

[14]  M. El-shahed.  Application of He's Homotopy Perturbation Method to Volterra's Integro-differential Equation , 2005 .

[15]  Ji-Huan He,et al.  Asymptotology by homotopy perturbation method , 2004, Appl. Math. Comput..

[16]  Saeid Abbasbandy,et al.  Homotopy perturbation method for quadratic Riccati differential equation and comparison with Adomian's decomposition method , 2006, Appl. Math. Comput..

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

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

[19]  D. Ganji,et al.  Application of He's Homotopy-perturbation Method to Nonlinear Coupled Systems of Reaction-diffusion Equations , 2006 .

[20]  A. Siddiqui,et al.  Couette and Poiseuille Flows for Non-Newtonian Fluids , 2006 .

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

[22]  Saeid Abbasbandy,et al.  Application of He’s homotopy perturbation method for Laplace transform , 2006 .

[23]  Prince Abdullah bin Ghazi,et al.  Modified homotopy perturbation method : Application to quadratic Riccati differential equation of fractional order , 2007 .

[24]  S. Momani,et al.  Modified homotopy perturbation method: Application to quadratic Riccati differential equation of fractional order , 2008 .

[25]  Asghar Ghorbani,et al.  He's Homotopy Perturbation Method for Calculating Adomian Polynomials , 2007 .

[26]  Ji-Huan He,et al.  Comparison of homotopy perturbation method and homotopy analysis method , 2004, Appl. Math. Comput..

[27]  Ji-Huan He,et al.  The homotopy perturbation method for nonlinear oscillators with discontinuities , 2004, Appl. Math. Comput..

[28]  Davood Domiri Ganji,et al.  Explicit Solutions of Helmholtz Equation and Fifth-order KdV Equation using Homotopy Perturbation Method , 2006 .