Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4630937 | Applied Mathematics and Computation | 2011 | 13 Pages |
Abstract
We introduce a new method to solve high order linear differential equations with initial and boundary conditions numerically. In this method, the approximate solution is based on rational interpolation and collocation method. Since controlling the occurrence of poles in rational interpolation is difficult, a construction which is found by Floater and Hormann [1] is used with no poles in real numbers. We use the Bernstein series solution instead of the interpolation polynomials in their construction. We find that our approximate solution has better convergence rate than the one found by using collocation method. The error of the approximate solution is given in the case of the exact solution f ∈ Cd+2[a, b].
Keywords
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Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Osman Raşit Işik, Mehmet Sezer, Zekeriya Güney,