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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.
Appears in Collections:Dept of Mathematics Research Papers
Mathematical Sciences

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