New algorithms for the numerical solution of one dimensional singular biharmonic problems of second kind
β Scribed by Mohanty, R.K.; Evans, D.J.
- Book ID
- 119957707
- Publisher
- Taylor and Francis Group
- Year
- 1999
- Tongue
- English
- Weight
- 572 KB
- Volume
- 73
- Category
- Article
- ISSN
- 0020-7160
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π SIMILAR VOLUMES
A systematic analysis is given on asymptotic error expansions for numerical solutions of one-dimensional problems whose solutions are singular. Numerical examples show a great improvement on the accuracy of numerical solutions by using the Richardson extrapolation technique.
We present two new ΓΏnite di erence methods of order two and four in a coupled manner for the general one-dimensional nonlinear biharmonic equation y IV = f(x; y; y ; y ; y ) subject to the boundary conditions y(a) = A0; y (a) = A1; y(b) = B0; y (b) = B1. In both cases, we use only three grid points