%0 Journal Article %T Fourth Order Volterra Integro-Differential Equations Using Modifed Homotopy-Perturbation Method %A Afrouzi, G. A. %A Ganji, D. D. %A Hosseinzadeh, H. %A Talarposhti, R. A. %J Journal of Mathematics and Computer Science %D 2011 %V 3 %N 2 %@ ISSN 2008-949X %F Afrouzi2011 %X This paper compare modified homotopy perturbation method with the exact solution for solving Fourth order Volterra integro-differential equations. From the computational viewpoint, the modified homotopy perturbation method is more efficient and easy to use. %9 journal article %R 10.22436/jmcs.03.02.10 %U http://dx.doi.org/10.22436/jmcs.03.02.10 %P 179--191 %0 Book %T Application of Hmotopy- perturbation method to the second kind of nonlinear integral equations %A D. D. Ganji %A G. A. Afrouzi %A H. Hosseinzadeh %A R. A. Talarposhti %D 2007 %I Physics Letters A %C Vol. 371, 20--25, %F Ganji2007 %0 Book %T Application of He's Homotopy-perturbation Method to Nonlinear Coupled Systems of Reaction-diffusion Equations %A D. D. Ganji %A A. Sadighi %D 2006 %I International Journal of Nonlinear Sciences and Numerical Simulation %C Vol. 7, 411--418, %F Ganji2006 %0 Journal Article %T Assessment of homotopy-perturbation and perturbation methods in heat radiation equations %A D. D. Ganji %A A. Rajabi %J International Communications in Heat and Mass Transfer %D 2006 %V 33 %F Ganji2006 %0 Journal Article %T Solitary wave solutions for a generalized Hirota-Satsuma coupled KdV equation by homotopy perturbation method %A D. D. Ganji %A M. Rafei %J Physics Letters A %D 2006 %V 356 %F Ganji2006 %0 Journal Article %T Homotopy perturbation technique %A J. H. He %J Comput. Methods Appl. Mech. Eng. %D 1999 %V 178 %F He1999 %0 Journal Article %T A coupling method of homotopy technique and perturbation technique for nonlinear problems %A J. H. He %J Int. J. Non-linear Mech. %D 2000 %V 35 %F He2000 %0 Journal Article %T Limit cycle and bifurcation of nonlinear problems %A J. H. He %J Chaos Soliton. Fract. %D 2005 %V 26 %F He2005 %0 Journal Article %T Homotopy perturbation method for bifurcation of nonlinear problems %A J. H. He %J Int. J. Nonlinear Sci. Numer. Simul. %D 2005 %V 6 %F He2005 %0 Book %T Variational principles for some nonlinear partial differential equations with variable coefficients %A J. H. He %D 2005 %I Chaos Solitons Fractals %C Vol. 19, 847--851 %F He2005 %0 Book %T Variational approach to nonlinear electrochemical system %A H. M. Liu %D 2004 %I International Journal of Nonlinear Sciences and Numerical Simulation %C Vol. 5, 95--96, %F Liu2004 %0 Journal Article %T Variational iteration method: a kind of nonlinear analytical technique: some examples %A J. H. He %J Int. J. Non-Linear Mech. %D 1999 %V 34 %F He1999 %0 Journal Article %T Variational iteration method for autonomous ordinary differential systems %A J. H. He %J Appl. Math. Comput. %D 2000 %V 114 %F He2000 %0 Journal Article %T Construction of solitary solution and compacton-like solution by variational iteration method %A J. H. He %A X. H. Wu %J Chaos Solitons Fractals %D 2006 %V 29 %F He2006 %0 Journal Article %T Application of He's homotopy perturbation method to Volterra's integro-differential equation %A M. El-Shahed %J Int. J. Nonlinear Sci. Numer. Simul. %D 2005 %V 6 %F El-Shahed2005 %0 Journal Article %T Some asymptotic methods for strongly nonlinear equations %A J. H. He %J Int. J. Mod. Phys. B %D 2006 %V 20 %F He2006 %0 Journal Article %T A review on some new recently developed nonlinear analytical techniques %A J. H. He %J Int. J. Nonlinear Sci. Numer. Simul. %D 2000 %V 1 %F He2000 %0 Journal Article %T Numerical solutions of the integral equations: homotopy perturbation method and Adomian's decomposition method %A S. Abbasbandy %J Appl. Math. Comput. %D 2006 %V 173 %F Abbasbandy2006 %0 Journal Article %T Application of He's homotopy perturbation method to functional integral equations %A S. Abbasbandy %J Chaos Solitons Fractals %D 2007 %V 31 %F Abbasbandy2007 %0 Journal Article %T Application of He's homotopy perturbation method for Laplace transform %A S. Abbasbandy %J Chaos Solitons Fractals %D 2006 %V 30 %F Abbasbandy2006 %0 Journal Article %T Application of homotopy perturbation method to nonlinear wave equations %A J. H. He %J Chaos Solitons Fractals %D 2005 %V 26 %F He2005 %0 Journal Article %T The homotopy perturbation method for nonlinear oscillators with discontinuities, %A J. H. He %J Appl. Math. Comput. %D 2004 %V 151 %F He2004 %0 Journal Article %T Comparison of homotopy perturbation method and homotopy analysis method %A J. H. He %J Appl. Math. Comput. %D 2004 %V 156 %F He2004 %0 Book %T Problems in Perturbation %A A. H. Nayfeh %D 1985 %I John Wiley & Sons %C New York %F Nayfeh1985