Numerical Solution of Partial Differential Equation via Orthogonal Wavelet and Multigrid Approach

In this paper we consider solving two-dimensional elliptic partial differential equation(PDE) via orthogonal wavelet and multigrid methods.Using high and low pass filter properties of restriction and prolongation operator in multigrid method,and multiresolution analysis of wavelets,we propose a new method for solving PDE via orthogonal wavelet and multigrid approach. This algorithm is commonly used and self-adaptive technique is used.The numerical exapmle shows that the efficecncy is improved comparing with that of classical multigrid method.