Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
839015 | Nonlinear Analysis: Real World Applications | 2009 | 13 Pages |
Abstract
A 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.
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Authors
F. Talay Akyildiz,