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Numerical modelling of qualitative behaviour of solutions to convolution integral equations
Diogo, Teresa Ford, Judith M. Ford, Neville J. Lima, Pedro M.
Diogo, Teresa
Ford, Judith M.
Ford, Neville J.
Lima, Pedro M.
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2006
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technical report
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Abstract
We consider the qualitative behaviour of solutions to linear integral equations of the form where the kernel k is assumed to be either integrable or of exponential type. After a brief review of the well-known Paley-Wiener theory we give conditions that guarantee that exact and approximate solutions of (1) are of a specific exponential type. As an example, we provide an analysis of the qualitative behaviour of both exact and approximate solutions of a singular Volterra equation with infinitely many solutions. We show that the approximations of neighbouring solutions exhibit the correct qualitative behaviour.
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Chester : University of Chester, 2006
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University of Chester
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Report
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en
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Applied Mathematics Group Research Report
2006 : 6
2006 : 6