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A recursive formulation of Galerkin''s method in terms of the tau method: Bounded and unbounded domains |
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| Authors: | M.K. El-Daou E.L. Ortiz |
| Affiliation: | Mathematics Department, Imperial College, London, England Mathematics Department, Massachusetts Institute of Technology, Cambridge, MA 02139, U.S.A. |
| Abstract: | The recursive formulation of the Tau Method (see [1,2]) is used to simulate the method of Galerkin. As a result of this, a new recursive formulation of Galerkin's Method is deduced. Furthermore, it is shown that the Galerkin's Method is a special form of a Tau Method with a weighted polynomial basis. Examples of application to the numerical approximation of linear and nonlinear partial differential equations, defined on bounded and unbounded domains, are also given. |
| Keywords: | Nonlinear ordinary differential equations Nonlinear partial differential equations Unbounded domains Tau Method Galerkin's Method Recursive computations |
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