A SPLINE METHOD FOR SOLVING TWO-DIMENSIONAL FREDHOLM INTEGRAL EQUATION OF SECOND KIND WITH THE HYPERSINGULAR KERNEL

• 来源期刊: 计算数学(英文版)
• 学科: 数学
• 关键词: Hypersingular integral Finite-part integral Quasi-interpolating operator Nonuniform type-2 triangulation.
• 年，卷（期）: 2001,（3）
• 页码范围: 225-230
• 页数: 6页
• 分类号: O1
• 语种: 英文

摘要

The purpose of this paper is to adopt the quasi-interpolating operators in multivariate pline space S12 (△m2*n) to solve two-dimensional Fredholm Integral Equations of second kind with the hypersingular kernels. The quasi-interpolating operators are put forward in ([7]). Based on the approximation properties of the operators, we obtain the uniform convergence of the approximate solution sequence on the Second Kind Fredholm intergral equation with the Cauchy singular kernel function.