ON THE APPROXIMATE SOLUTION OF INTEGRAL EQUATIONS OF THE CONVOLUTION TYPE
Abstract
Convolution integral equations have a simple representation in the form of a Laplace transform, and so solution follows by transform inversion. Usually, the solution expressed as an infinite integral which can only be evaluated by numerical integration. Often, the transform involves the ratio of functions of hypergeometric type. Approximations to an inverse Laplace transform are studied when the transform, which involves the exponential integral, is approximated by rational functions. The approximate solution is a sum of exponential functions, and numerics are presented to show the efficiency of our technique.
Document Details
- Document Type
- Technical Report
- Publication Date
- Feb 01, 1963
- Accession Number
- AD0403426
Entities
People
- Yudell L. Luke
Organizations
- MRIGlobal