Determining the intensity variation of heat sources in the heat equation

DOI10.1007/S10598-022-09551-4zbMath1501.35454OpenAlexW4289868869MaRDI QIDQ2096005

A. M. Denisov, S. I. Solovyeva

Publication date: 16 November 2022

Published in: Computational Mathematics and Modeling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10598-022-09551-4

zbMATH Keywords

numerical methodheat equationinverse problemunique solvability

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)

Related Items (1)

Numerical methods for determining the coefficient and the source term in the heat equation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Uniqueness and nonuniqueness of the solution to the problem of determining the source in the heat equation
• Numerical solution of inverse problems for a hyperbolic equation with a small parameter multiplying the highest derivative
• Numerical solution of the inverse problem of reconstructing a distributed right-hand side of a parabolic equation
• Problems of determining the unknown source in parabolic and hyperbolic equations
• Uniqueness and stability of 3D heat sources
• Definitions and examples of inverse and ill-posed problems
• ON CERTAIN INVERSE PROBLEMS FOR PARABOLIC EQUATIONS WITH FINAL AND INTEGRAL OBSERVATION
• Structural identification of an unknown source term in a heat equation
• Conditional stability in determining a heat source
• Iterative identification of the spacewise-dependent right-hand side in a parabolic equation
• Iterative computational identification of a space-wise dependent source in parabolic equation
• Inverse problems for partial differential equations

This page was built for publication: Determining the intensity variation of heat sources in the heat equation