Akyildiz, F. Talay2024-05-252024-05-25200951468-121810.1016/j.nonrwa.2007.11.0282-s2.0-56549101219https://doi.org/10.1016/j.nonrwa.2007.11.028https://hdl.handle.net/20.500.14517/629A Laguerre-Galerkin method is proposed and analyzed for Quasilinear parabolic differential equation which arises from Stokes' first problem for a third-grade fluid on a semi-infinite interval. By reformulating this equation with suitable functional transforms, it is shown that the Laguerre-Galerkin approximations are convergent on a semi-infinite interval with spectral accuracy. An efficient and accurate algorithm based on the Laguerre-Galerkin approximations to the transformed equations is developed and implemented. Effects of non-Newtonian parameters on the flow phenomena are analyzed and documented. (C) 2007 Elsevier Ltd. All rights reserved.eninfo:eu-repo/semantics/closedAccessLaguerre-Galerkin methodStokes' first problemThird-grade fluidDiscontinuous boundary conditionQuasilinear parabolic equationRegularized boundary layer functionArticleQ2Q210210291041WOS:000262141700034