Yazar "Akyildiz, F. Talay" için listeleme
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Fourier-Galerkin domain truncation method for Stokes' first problem with Oldroyd four-constant liquid
Akyildiz, F. Talay; Vajravelu, K.; Ozekes, H. (Pergamon-Elsevier Science Ltd, 2008)Using the Fourier-Galerkin method with domain truncation strategy, Stokes' first problem for Oldroyd four-constant liquid on a semi-infinite interval is studied. It is shown that the Fourier-Galerkin approximations are ... -
A generalization of surfaces family with common spatial geodesic
Kasap, Emin; Akyildiz, F. Talay; Orbay, Keziban (Elsevier Science Inc, 2008)We analyzed the problem of constructing a surfaces family from a given spatial geodesic curve as in the work of Wang et al. [G.-J. Wang, K. Tang, C.-L. Tai, Parametric representation of a surface pencil with a common spatial ... -
Magnetohydrodynamic flow of a viscoelastic fluid
Akyildiz, F. Talay; Vajravelu, K. (Elsevier Science Bv, 2008)The non-linear differential equation for the magnetohydrodynamic Poiseuille flow of Phan-Them-Tanner (PTT) conducting fluid is derived. Using the homotopy analysis method (HAM), the series solution is developed and its ... -
A new method for homoclinic solutions of ordinary differential equations
Akyildiz, F. Talay; Vajravelu, K.; Liao, S-J. (Pergamon-Elsevier Science Ltd, 2009)Consideration is given to the homoclinic solutions of ordinary differential equations. We first review the Melnikov analysis to obtain Melnikov function, when the perturbation parameter is zero and when the differential ... -
Orthogonal cubic spline collocation method for the nonlinear parabolic equation arising in non-Newtonian fluid flow
Akyildiz, F. Talay; Vajravelu, K. (Elsevier Science Inc, 2007)Using the orthogonal cubic spline collocation method, solution for the nonlinear parabolic equation arising in magnetohydrodynamic unsteady Poiseuille flow of the generalized Newtonian fluid (Carreau rheological model) is ... -
Stokes' first problem for a Newtonian fluid in a non-Darcian porous half-space using a Laguerre-Galerkin method
Akyildiz, F. Talay (Wiley, 2007)A Laguerre-Galerkin method is proposed and analysed for the Stokes' first problem of a Newtonian fiuid in a non-Darcian porous half-space on a semi-infinite interval. It is well known that Stokes' first problem has a jump ... -
Surfaces with common geodesic in Minkowski 3-space
Kasap, Emin; Akyildiz, F. Talay (Elsevier Science Inc, 2006)In this paper, we analyzed the problem of constructing a family of surfaces from a given spacelike (or timelike) geodesic curve. Using the Frenet trihedron frame of the curve in Minkowski space, we express the family of ...