Approximate double series solution to certain Fredholm integral equations of the first kind
type: Item
instance of: scholarly article
title: Approximate double series solution to certain Fredholm integral equations of the first kind
zbMATH Open document ID: 0683.65113
DOI: 10.1016/0022-247X(89)90041-3
author: Nassar H. S. Haidar
published in: Journal of Mathematical Analysis and Applications
publication date: 1989-01-01T00:00:00Z
review text: The author considers a class of Fredholm integral equations of the first kind with an arbitrary non-degenerate kernel that is twice differentiable in the variable of integration. A new variational discretized-kernel double series solution which may be discontinuous in the other variable is obtained. It is also shown that these solution double series may converge faster than the corresponding Taylor series or Padé approximant. Further, it is shown that they form a basis for a real axis approximate method for the inversion of the Laplace transform.
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 65R10
Mathematics Subject Classification ID: 45B05
Mathematics Subject Classification ID: 44A10
zbMATH DE Number: 4119580
zbMATH Keywords: Fredholm integral equations of the first kind
zbMATH Keywords: non-degenerate kernel
zbMATH Keywords: double series solution
zbMATH Keywords: Taylor series
zbMATH Keywords: Padé approximant
zbMATH Keywords: inversion of the Laplace transform
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4119580