Numerical Solution of Fredholm Integral Equations of the Second Kind
Linear integral equations of the second kind, were introduced in Chapter 2, and we note that they occur in a wide variety of physical applications. An important class of such equations are the boundary integral equations, about which more is said in Chapter 13. In the integral of (12.0.1), D is a closed, and often bounded, integration region. The integral operator is often a compact operator on C(D) or L2(D), although not always. For the case that the integral operator is compact, a general solvability theory is given in Subsection 2.8.4 of Chapter 2. A more general introduction to the theory of such equations is given in Kress .
KeywordsIntegral Equation Integral Operator Iteration Method Projection Method Node Point
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