Space-dependent heat source determination problem with nonlocal periodic boundary conditions

DOI10.1016/j.rinam.2021.100223zbMath1481.35402OpenAlexW3216812826MaRDI QIDQ2063318

M. J. Huntul

Publication date: 11 January 2022

Published in: Results in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.rinam.2021.100223

zbMATH Keywords

stability analysisnonlinear optimizationTikhonov regularizationinverse source problemthird-order pseudo-parabolic equation

Mathematics Subject Classification ID

Initial-boundary value problems for higher-order parabolic equations (35K35) Inverse problems for PDEs (35R30) Ultraparabolic equations, pseudoparabolic equations, etc. (35K70) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)

Related Items (2)

An inverse boundary value problem for a two-dimensional pseudo-parabolic equation of third order ⋮ Identification of time‐dependent potential in a fourth‐order pseudo‐hyperbolic equation from additional measurement

Uses Software

• Matlab
• Optimization Toolbox
• lsqnonlin

Cites Work

• Inverse problem for a pseudoparabolic equation with integral overdetermination conditions
• On an inverse boundary-value problem for a pseudoparabolic third-order equation with integral condition of the first kind
• Stability charts in the numerical approximation of partial differential equations: A review
• Inverse problem for 1D pseudo-parabolic equation
• Differential and difference boundary value problem for loaded third-order pseudo-parabolic differential equations and difference methods for their numerical solution
• The numerical solution of fifth-order boundary value problems with sixth-degree B-spline functions
• Asymptotic behaviour of the solutions of inverse problems for pseudo-parabolic equations
• Inverse time-dependent source problems for the heat equation with nonlocal boundary conditions
• Simultaneous reconstruction of time-dependent coefficients in the parabolic equation from over-specification conditions
• Reconstructing an unknown potential term in the third-order pseudo-parabolic problem
• A cooling process according to two-temperature theory of heat conduction
• Blow-up of solutions of strongly nonlinear equations of pseudoparabolic type
• An inverse problem for pseudoparabolic equation of filtration: the existence, uniqueness and regularity
• Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks [strata]
• Determination of an unknown non-homogeneous term in a linear partial differential equation .from overspecified boundary data
• Recovery of timewise‐dependent heat source for hyperbolic PDE from an integral condition
• Identification of the timewise thermal conductivity in a 2D heat equation from local heat flux conditions
• Pseudoparabolic Partial Differential Equations

This page was built for publication: Space-dependent heat source determination problem with nonlocal periodic boundary conditions