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i ÖZET Bu çalışmanın amacı, homotopi pertürbasyon metodu ve ...

i ÖZET Bu çalışmanın amacı, homotopi pertürbasyon metodu ve ...

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[27] Liao S.J., 1997, General boundary element method for nonlinear heat transfer<br />

problems go<strong>ve</strong>rned by hyperbolic heat conduction equation, Comput.Mech., 20(5), 397-<br />

406.<br />

[28] Liao S.J., 1999, On the general boundary element method and its further<br />

generalization, Int J. Numer Meth Fluids , 31, 627-55.<br />

[29] Liao S.J., 1999, A uniformly valid analytic solution of two dimensional viscous<br />

flow o<strong>ve</strong>r a semiinfinite flat plate, J. Fluid Mech. 385, 101–128.<br />

[30] Liao S.J., 2001, A non-iterati<strong>ve</strong> numerical approach for 2-D viscous flow problems<br />

go<strong>ve</strong>rned by the Falkner–Skan equation, Int. J. Numer. Methods Fluids 35 (5), 495–518.<br />

[31] Liao S.J., 2009, “Notes on the homotopy analysis method: Some definitions and<br />

theorems”, Commun Nonlinear Sci Numer Simulat, 14, 983-997.<br />

[32] Song H, Tao L., 2007, Homotopy analysis of 1D unsteady, nonlinear groundwater<br />

flow through porous media. J Coastal Res ., 50, 292–295.<br />

[33] Molabahrami A, Khani F., 2009, The homotopy analysis method to sol<strong>ve</strong> the<br />

<strong>Bu</strong>rgers–Huxley equation. Nonlinear Anal B: Real World Appl, 10,2,589-600.<br />

[34] Bataineh AS, Noorani MSM, Hashim I., 2007, Solutions of time-dependent<br />

Emden–Fowler type equations by homotopy analysis method. Phys Lett A, 371:72–82.<br />

[35] Wang Z, Zou L, Zhang H., 2007, Applying homotopy analysis method for solving<br />

differential-difference equation. Phys Lett A , 369, 77–84.<br />

[36] Mustafa Inc., 2007, On exact solution of Laplace equation with Dirichlet and<br />

Neumann boundary conditions by the homotopy analysis method. Phys Lett A, 365,<br />

412–15.<br />

[37] Abbasbandy S., 2006, “The application of the homotopy analysis method to<br />

nonlinear equations arising in heat transfer”, Physics Letters A, 360, 109-113.<br />

[38] Abbasbandy S., 2007, “The application of homotopy analysis method to sol<strong>ve</strong> a<br />

generalized Hirota-Satsuma coupled KdV equation”, Physics Letters A, 361, 478-483.<br />

[39] He J.H., 2004, Comparison of homotopy perturbation method and homotopy<br />

analysis method, Applied Mathematics and Computation, 156(2), 527-539.<br />

[40] Liao S.J., 2005, Comparison between the homotopy analysis method and homotopy<br />

perturbation method, Appl. Math. Comput., 169, 1186–1194.<br />

[41] Sajid M., Hayat T., 2008, Comparison of HAM and HPM methods in nonlinear<br />

heat conduction and con<strong>ve</strong>ction equations, Nonlinear Analysis: Real World<br />

Applications, 9, 2296-2301.

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