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On the numerical stability of spline function approximations to solutions of Volterra integral equations of the second kind

A procedure, using spine functions of degree m, deficiency k-1, for obtaining approximate solutions to nonlinear Volterra integral equations of the second kind is presented. The paper is an investigation of the numerical stability of the procedure for various values of m and k. (5 refs).

Detalles Bibliográficos
Autor principal: El-Tom, M E A
Lenguaje:eng
Publicado: 1974
Materias:
Acceso en línea:https://dx.doi.org/10.1007/BF01932942
http://cds.cern.ch/record/873636
Descripción
Sumario:A procedure, using spine functions of degree m, deficiency k-1, for obtaining approximate solutions to nonlinear Volterra integral equations of the second kind is presented. The paper is an investigation of the numerical stability of the procedure for various values of m and k. (5 refs).