Abstract
Block iterative methods are proposed for solving the biharmonic equation using finite difference methods of order two and four over a square domain. For both the cases, we use nine grid points. Derivatives of the solutions are obtained as a by-product of the methods and we do not require fictitious points in order to approximate the boundary conditions. The resulting matrix system is solved by the block iterative method using a tri-diagonal solver. Numerical examples are provided to demonstrate the efficiency and accuracy of the methods discussed.
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