References
- Abbasbandy, S. , 2006. Numerical solutions of the integral equations: Homotopy perturbation method and Adomian's decomposition method , Appl. Math. Comput. 173 (2006), pp. 493–500.
- Babolian, E. , and Biazar, J. , 2000. Solution of a system of non-linear Volterra integral equations of the second kind , Far East J. Math. Sci 2 (6) (2000), pp. 935–945.
- Beléndez, A. , Beléndez, T. , Márquez, A. , and Neipp, C. , 2008. Application of He's homotopy perturbation method to conservative truly nonlinear oscillators , Chaos Solitons Fractals 37 (3) (2008), pp. 770–780.
- Biazar, J. , 2002. " Solving system of integral equations by Adomian decomposition method ". Iran: Teacher Training University; 2002, Ph.D thesis.
- Biazar, J. , and Ghazvini, H. , 2007. Exact solutions for nonlinear Schrödinger equations by He's homotopy perturbation method , Phys. Lett. A 366 (2007), pp. 79–84.
- Biazar, J. , and Ghazvini, H. , 2008. Numerical solution for special non-linear Fredholm integral equation by HPM , Appl. Math. Comput. 195 (2008), pp. 681–687.
- Biazar, J. , and Ghazvini, H. , 2009. He's homotopy perturbation method for solving system of Volterra integral equations of the second kind , Chaos Solitons Fractals 39 (2) (2009), pp. 770–777.
- Cveticanin, L. , 2006. Homotopy–perturbation method for pure nonlinear differential equation , Chaos Solitons Fractals 30 (2006), pp. 1221–1230.
- Delves, L. M. , and Mohamed, J. L. , 1988. Computational Methods for Integral Equations . New York: Cambridge University Press; 1988.
- Ganji, D. D. , 2006. The application of He's homotopy perturbation method to nonlinear equations arising in heat transfer , Phys. Lett. A 355 (2006), pp. 337–341.
- Golbabai, A. , and Javidi, M. , 2007. Application of homotopy perturbation method for solving eighth-order boundary value problems, , Appl. Math. Comput. 191 (2) (2007), pp. 334–346.
- Golbabai, A. , and Keramati, B. , 2008. Modified homotopy perturbation method for solving Fredholm integral equations , Chaos Solitons Fractals 37 (5) (2008), pp. 1528–1537.
- He, J. H. , 1999. Homotopy perturbation technique , Comput. Methods Appl. Mech. Eng. 178 (1999), pp. 257–262.
- He, J. H. , 2000. A coupling method of homotopy technique and perturbation technique for nonlinear problems , Internat. J. Non-Linear Mech 35 (1) (2000), pp. 37–43.
- He, J. H. , 2004. The homotopy perturbation method for nonlinear oscillators with discontinuities , Appl. Math. Comput. 151 (2004), pp. 287–292.
- He, J. H. , 2005. Application of homotopy perturbation method to nonlinear wave equations , Chaos Solitons Fractals 26 (2005), pp. 695–700.
- He, J. H. , 2006. Homotopy perturbation method for solving boundary value problems , Phys. Lett. A 350 (2006), pp. 87–88.
- Linz, P. , 2000. Analytical and Numerical Methods for Volterra Equations . Pennsylvania: SIAM Philadelphia; 2000.
- Odibat, Z. , and Momani, S. , 2008. Modified homotopy perturbation method: application to quadratic Riccati differential equation of fractional order , Chaos Solitons Fractals 36 (1) (2008), pp. 167–174.
- Saberi-Nadjafi, J. , and Tamamgar, M. , 2008. Modified homotopy perturbation method for solving the system of Volterra integral equations , Int. J. Nonlinear Science Numer. Simul. 9 (2008), pp. 409–413.
- Shakeri, F. , and Dehghan, M. , 2008. Solution of delay differential equations via a homotopy perturbation method , Math. Comput. Modelling 48 (3–4) (2008), pp. 486–498.
- Siddiqui, A. M. , Mahmood, R. , and Ghori, Q. K. , 2008. Homotopy perturbation method for thin film flow of a third grade fluid down an inclined plane , Chaos Solitons Fractals 35 (1) (2008), pp. 140–147.