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http://bura.brunel.ac.uk/handle/2438/2330
Title: | Numerical methods for sixth-order boundary-value problems |
Authors: | Twizell, E H Boutayeb, A |
Issue Date: | 1990 |
Publisher: | Brunel University |
Citation: | Maths Technical Papers (Brunel University). March 1990, pp 1-84 |
Series/Report no.: | TR/03/90 |
Abstract: | A family of numerical methods is developed for the solution of special nonlinear sixth-order boundary-value problems. Methods with second-, fourth-, sixth- and eighth-order convergence are contained in the family. Global extrapolation procedures on two and three grids, which increase the order of convergence, are outlined. A second-order convergent method is discussed for the numerical solution of general nonlinear sixth-order boundary-value problems. This method, with modifications where necessary, is applied to the sixth-order eigenvalue problems associated with the onset of instability in a Bénard layer. Numerical results are compared with asymptotic estimates appearing in the literature. |
URI: | http://bura.brunel.ac.uk/handle/2438/2330 |
Appears in Collections: | Dept of Mathematics Research Papers Mathematical Sciences |
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TR_03_90.pdf | 382.64 kB | Adobe PDF | View/Open |
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