On the numerical solution of singular integro-differential equations

N. I. Ioakimidis, P. S. Theocaris
1979 Quarterly of Applied Mathematics  
A method of numerical solution of a sufficiently wide class of Cauchytype singular integrodifferential equations along a straight finite interval is presented. This method consists of approximating the integrals in such an equation by using appropriate numerical integration rules and appropriately-selected collocation points and reducing such an equation to a system of linear algebraic equations. This technique constitutes a direct generalization of the corresponding methods of numerical
more » ... of numerical solution of Cauchy-type singular integral equations and presents some advantages over the classical Multhopp method of numerical solution of Cauchy-type singular integrodifferential equations, to which it reduces in some special cases. An application to a specific equation is also made. *
doi:10.1090/qam/548991 fatcat:tev3sidda5bwngcmpdmrlmly5a