A wavelet-Galerkin method for a hypersingular integral equation system
Youjian Shen, Wei Shin Lin · Complex Variables and Elliptic Equations · 2007
In this article, we apply Hermite cubic spline multiwavelet to investigate the numerical solution of a linear integral equation system with Hadamard integrals which arise from the natural boundary method for the plane elasticity problem in the upper half-plane by the Galerkin method. In our algorithm the stiffness matrix is sparse generally. Two test examples are presented to illustrate our method.