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|Title:||Numerical methods for sixth-order boundary-value problems|
|Authors:||Twizell, E H|
|Citation:||Maths Technical Papers (Brunel University). March 1990, pp 1-84|
|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|
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