He’s homotopy perturbation method for a boundary layer equation in unbounded domain

Computers & Mathematics with Applications - Tập 54 - Trang 1067-1070 - 2007
Lan Xu1
1Modern Textile Institute, Donghua University, 1882 Yan’an Xilu Road, Shanghai 200051, People’s Republic of China

Tài liệu tham khảo

Kuiken, 1981, On boundary layers in field mechanics that decay algebraically along stretches of wall that are not vanishing small, IMA Journal of Applied Mathematics, 27, 387, 10.1093/imamat/27.4.387 Wazwaz, 2006, The modified decomposition method and Pade approximants for a boundary layer equation in unbounded domain, Applied Mathematics and Computation, 177, 737, 10.1016/j.amc.2005.09.102 He, 1999, Homotopy perturbation technique, Computer Methods in Applied Mechanics and Engineering, 178, 257, 10.1016/S0045-7825(99)00018-3 He, 2000, A coupling method of a homotopy technique and a perturbation technique for non-linear problems, International Journal of Non-Linear Mechanics, 35, 37, 10.1016/S0020-7462(98)00085-7 He, 2006, New interpretation of homotopy pertubation method, International Journal of Modern Physics B, 20, 2561, 10.1142/S0217979206034819 He, 2003, Homotopy perturbation method: A new nonlinear analytical technique, Applied Mathematics and Computation, 135, 73, 10.1016/S0096-3003(01)00312-5 He, 2004, Asymptotology by homotopy perturbation method, Applied Mathematics and Computation, 156, 591, 10.1016/j.amc.2003.08.011 He, 2004, Comparison of homotopy perturbation method and homotopy analysis method, Applied Mathematics and Computation, 156, 527, 10.1016/j.amc.2003.08.008 He, 2004, The homotopy perturbation method for nonlinear oscillators with discontinuities, Applied Mathematics and Computation, 151, 287, 10.1016/S0096-3003(03)00341-2 He, 2005, Periodic solutions and bifurcations of delay-differential equations, Physics Letters A, 347, 228, 10.1016/j.physleta.2005.08.014 He, 2005, Application of homotopy perturbation method to nonlinear wave equations, Chaos, Solitons & Fractals, 26, 695, 10.1016/j.chaos.2005.03.006 He, 2005, Limit cycle and bifurcation of nonlinear problems, Chaos, Solitons & Fractals, 26, 827, 10.1016/j.chaos.2005.03.007 He, 2005, Homotopy perturbation method for bifurcation of nonlinear problems, International Journal of Nonlinear Sciences and Numerical Simulation, 6, 207, 10.1515/IJNSNS.2005.6.2.207 He, 2005, A nonlinear dynamic model for two-strand yarn spinning, Textile Research Journal, 75, 181, 10.1177/004051750507500218 He, 2006, Homotopy perturbation method for solving boundary value problems, Physics Letters A, 350, 87, 10.1016/j.physleta.2005.10.005 Abbasbandy, 2007, A numerical solution of Blasius equation by Adomian’s decomposition method and comparison with homotopy perturbation method, Chaos, Solitons & Fractals, 31, 257, 10.1016/j.chaos.2005.10.071 Abbasbandy, 2006, Application of He’s homotopy perturbation method for Laplace transform, Chaos, Solitons & Fractals, 30, 1206, 10.1016/j.chaos.2005.08.178 Cai, 2006, Approximate period solution for a kind of nonlinear oscillator by He’s perturbation method, International Journal of Nonlinear Sciences and Numerical Simulation, 7, 109, 10.1515/IJNSNS.2006.7.1.109 Cveticanin, 2006, Homotopy-perturbation method for pure nonlinear differential equation, Chaos, Solitons & Fractals, 30, 1221, 10.1016/j.chaos.2005.08.180 El-Shahed, 2005, Application of He’s homotopy perturbation method to Volterra’s integro-differential equation, International Journal of Nonlinear Sciences and Numerical Simulation, 6, 163, 10.1515/IJNSNS.2005.6.2.163 Rafei, 2006, Explicit solutions of Helmholtz equation and fifth-order KdV equation using homotopy perturbation method, International Journal of Nonlinear Sciences and Numerical Simulation, 7, 321, 10.1515/IJNSNS.2006.7.3.321 Siddiqui, 2006, Thin film flow of a third grade fluid on a moving belt by He’s homotopy perturbation method, International Journal of Nonlinear Sciences and Numerical Simulation, 7, 7, 10.1515/IJNSNS.2006.7.1.7 Siddiqui, 2006, Couette and Poiseuille flows for non-Newtonian fluids, International Journal of Nonlinear Sciences and Numerical Simulation, 7, 15, 10.1515/IJNSNS.2006.7.1.15 He, 2006, Some asymptotic methods for strongly nonlinear equations, International Journal of Modern Physics B, 20, 1141, 10.1142/S0217979206033796 He, 2006