On a Finite Difference Scheme for an Inverse Integro-Differential Problem Using Semigroup Theory: A Functional Analytic Approach

DOI10.1080/01630563.2016.1180630zbMath1356.65254OpenAlexW2338814755MaRDI QIDQ2829591

Davide Guidetti, Rob H. De Staelen

Publication date: 8 November 2016

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2016.1180630

zbMATH Keywords

stabilityconvergenceinverse problemfinite difference schememethod of linesRothe's methodsemigroup theoryconvolution kernelabstract parabolic integro-differential equation

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) One-parameter semigroups and linear evolution equations (47D06) Abstract integral equations, integral equations in abstract spaces (45N05) Inverse problems for integral equations (45Q05) Numerical solutions to abstract evolution equations (65J08)

Related Items (3)

A semi-linear delayed diffusion-wave system with distributed order in time ⋮ Identification of a memory kernel in a nonlinear integrodifferential parabolic problem ⋮ Determining the memory kernel from a fixed point measurement data for a parabolic equation with memory effect

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