Abstract
For the numerical integration of the 2-D nonlinear biharmonic problems of first kind, we report two difference methods of order two and four over a rectangular domain. These methods use only the nine grid points and do not require fictitious points in order to approximate the boundary conditions. Derivatives of the solution are obtained as a by-product of the methods. In numerical experiments, the new second and fourth order formulas are compared with the exact solutions.
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1 CSIR Fellowship to one of the authors P.K Pandey is greatly acknowledged
1 CSIR Fellowship to one of the authors P.K Pandey is greatly acknowledged
Notes
1 CSIR Fellowship to one of the authors P.K Pandey is greatly acknowledged