TY - JOUR AU - Afrouzi, G. A. AU - Ganji, D. D. AU - Hosseinzadeh, H. AU - Talarposhti, R. A. PY - 2011 TI - Fourth Order Volterra Integro-Differential Equations Using Modifed Homotopy-Perturbation Method JO - Journal of Mathematics and Computer Science SP - 179--191 VL - 3 IS - 2 AB - 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. SN - ISSN 2008-949X UR - http://dx.doi.org/10.22436/jmcs.03.02.10 DO - 10.22436/jmcs.03.02.10 ID - Afrouzi2011 ER - TY - BOOK TI - Application of Hmotopy- perturbation method to the second kind of nonlinear integral equations AU - D. D. Ganji AU - G. A. Afrouzi AU - H. Hosseinzadeh AU - R. A. Talarposhti PB - Physics Letters A PY - 2007 DA - 2007// CY - Vol. 371, 20--25, ID - Ganji2007 ER - TY - BOOK TI - Application of He's Homotopy-perturbation Method to Nonlinear Coupled Systems of Reaction-diffusion Equations AU - D. D. Ganji AU - A. Sadighi PB - International Journal of Nonlinear Sciences and Numerical Simulation PY - 2006 DA - 2006// CY - Vol. 7, 411--418, ID - Ganji2006 ER - TY - JOUR TI - Assessment of homotopy-perturbation and perturbation methods in heat radiation equations AU - D. D. Ganji AU - A. Rajabi JO - International Communications in Heat and Mass Transfer PY - 2006 DA - 2006// VL - 33 ID - Ganji2006 ER - TY - JOUR TI - Solitary wave solutions for a generalized Hirota-Satsuma coupled KdV equation by homotopy perturbation method AU - D. D. Ganji AU - M. Rafei JO - Physics Letters A PY - 2006 DA - 2006// VL - 356 ID - Ganji2006 ER - TY - JOUR TI - Homotopy perturbation technique AU - J. H. He JO - Comput. Methods Appl. Mech. Eng. PY - 1999 DA - 1999// VL - 178 ID - He1999 ER - TY - JOUR TI - A coupling method of homotopy technique and perturbation technique for nonlinear problems AU - J. H. He JO - Int. J. Non-linear Mech. PY - 2000 DA - 2000// VL - 35 ID - He2000 ER - TY - JOUR TI - Limit cycle and bifurcation of nonlinear problems AU - J. H. He JO - Chaos Soliton. Fract. PY - 2005 DA - 2005// VL - 26 ID - He2005 ER - TY - JOUR TI - Homotopy perturbation method for bifurcation of nonlinear problems AU - J. H. He JO - Int. J. Nonlinear Sci. Numer. Simul. PY - 2005 DA - 2005// VL - 6 ID - He2005 ER - TY - BOOK TI - Variational principles for some nonlinear partial differential equations with variable coefficients AU - J. H. He PB - Chaos Solitons Fractals PY - 2005 DA - 2005// CY - Vol. 19, 847--851 ID - He2005 ER - TY - BOOK TI - Variational approach to nonlinear electrochemical system AU - H. M. Liu PB - International Journal of Nonlinear Sciences and Numerical Simulation PY - 2004 DA - 2004// CY - Vol. 5, 95--96, ID - Liu2004 ER - TY - JOUR TI - Variational iteration method: a kind of nonlinear analytical technique: some examples AU - J. H. He JO - Int. J. Non-Linear Mech. PY - 1999 DA - 1999// VL - 34 ID - He1999 ER - TY - JOUR TI - Variational iteration method for autonomous ordinary differential systems AU - J. H. He JO - Appl. Math. Comput. PY - 2000 DA - 2000// VL - 114 ID - He2000 ER - TY - JOUR TI - Construction of solitary solution and compacton-like solution by variational iteration method AU - J. H. He AU - X. H. Wu JO - Chaos Solitons Fractals PY - 2006 DA - 2006// VL - 29 ID - He2006 ER - TY - JOUR TI - Application of He's homotopy perturbation method to Volterra's integro-differential equation AU - M. El-Shahed JO - Int. J. Nonlinear Sci. Numer. Simul. PY - 2005 DA - 2005// VL - 6 ID - El-Shahed2005 ER - TY - JOUR TI - Some asymptotic methods for strongly nonlinear equations AU - J. H. He JO - Int. J. Mod. Phys. B PY - 2006 DA - 2006// VL - 20 ID - He2006 ER - TY - JOUR TI - A review on some new recently developed nonlinear analytical techniques AU - J. H. He JO - Int. J. Nonlinear Sci. Numer. Simul. PY - 2000 DA - 2000// VL - 1 ID - He2000 ER - TY - JOUR TI - Numerical solutions of the integral equations: homotopy perturbation method and Adomian's decomposition method AU - S. Abbasbandy JO - Appl. Math. Comput. PY - 2006 DA - 2006// VL - 173 ID - Abbasbandy2006 ER - TY - JOUR TI - Application of He's homotopy perturbation method to functional integral equations AU - S. Abbasbandy JO - Chaos Solitons Fractals PY - 2007 DA - 2007// VL - 31 ID - Abbasbandy2007 ER - TY - JOUR TI - Application of He's homotopy perturbation method for Laplace transform AU - S. Abbasbandy JO - Chaos Solitons Fractals PY - 2006 DA - 2006// VL - 30 ID - Abbasbandy2006 ER - TY - JOUR TI - Application of homotopy perturbation method to nonlinear wave equations AU - J. H. He JO - Chaos Solitons Fractals PY - 2005 DA - 2005// VL - 26 ID - He2005 ER - TY - JOUR TI - The homotopy perturbation method for nonlinear oscillators with discontinuities, AU - J. H. He JO - Appl. Math. Comput. PY - 2004 DA - 2004// VL - 151 ID - He2004 ER - TY - JOUR TI - Comparison of homotopy perturbation method and homotopy analysis method AU - J. H. He JO - Appl. Math. Comput. PY - 2004 DA - 2004// VL - 156 ID - He2004 ER - TY - BOOK TI - Problems in Perturbation AU - A. H. Nayfeh PB - John Wiley & Sons PY - 1985 DA - 1985// CY - New York ID - Nayfeh1985 ER -