Application of numerical methods for the Volterra equations of the first kind that appear in an inverse boundary-value problem of heat conduction

zbMath1344.45002MaRDI QIDQ307861

Svetlana Vital'evna Solodusha

Publication date: 5 September 2016

Published in: Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika (Search for Journal in Brave)

Full work available at URL: http://isu.ru/journal/downloadArticle?article=_b0111f1de8f14983964c217f74c6fb99&lang=rus

zbMATH Keywords

numerical methodsinverse boundary-value problem of heat conductionVolterra integral equations of the first kind

Mathematics Subject Classification ID

Volterra integral equations (45D05)

Cites Work

• Analytical approximation to solutions of singularly perturbed boundary value problems
• Nonclassical linear Volterra equations of the first kind
• Approximate Global Convergence and Adaptivity for Coefficient Inverse Problems
• Numerical methods for solving a boundary-value inverse heat conduction problem
• Definitions and examples of inverse and ill-posed problems
• Collocation Methods for Volterra Integral and Related Functional Differential Equations
• Reconstruction of boundary regimes in the inverse problem of thermal convection of a high-viscosity fluid
• Product integration methods for Volterra integral equations of the first kind
• Numerical solving an inverse boundary value problem of heat conduction using Volterra equations of the first kind
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