Numerical Solution of Non‐Fredholm (Singular) Integral Equations by Matrix Inversion

Autor:	George Tiktopoulos, C. Edward Jones
Rok vydání:	1966
Předmět:	Independent equation Positive-definite kernel Mathematical analysis Statistical and Nonlinear Physics Fredholm integral equation Singular integral Integral transform Integral equation Volterra integral equation symbols.namesake symbols Nyström method Mathematical Physics Mathematics
Zdroj:	Journal of Mathematical Physics. 7:311-315
ISSN:	1089-7658 0022-2488
DOI:	10.1063/1.1704934
Popis:	It is shown that the simple matrix‐inversion techniques often used in numerically solving linear integral equations with a Fredholm‐Schmidt (i.e., square‐integrable) kernel can also be employed for a wide class of non‐Fredholm (``singular'') equations. This class includes equations the kernel of which is the sum of a Fredholm‐Schmidt kernel and a kernel whose norm (in the operator sense) is less than one. In particular, the integral equations of the so‐called ``new strip approximation'' in particle dynamics belong to this class.
Databáze:	OpenAIRE
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