Determination of an unknown heat source from integral overdetermination condition

DOI10.1007/s40995-017-0454-zzbMath1397.65129OpenAlexW2780740263MaRDI QIDQ1787796

Irem Baglan, Vishnu Narayan Mishra, Fatma Kanca

Publication date: 5 October 2018

Published in: Iranian Journal of Science and Technology. Transaction A: Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40995-017-0454-z

zbMATH Keywords

inverse problemfinite difference methodquasilinear parabolic equationperiodic boundary conditionintegral overdetermination condition

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Heat equation (35K05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Semilinear parabolic equations with Laplacian, bi-Laplacian or poly-Laplacian (35K91)

Related Items (1)

On the numerical solutions of some identification problems for one- and multidimensional parabolic equations backward in time

Cites Work

• Unnamed Item
• KKL correlation for simulation of nanofluid flow and heat transfer in a permeable channel
• Inverse Problems. Mathematical and analytical techniques with applications to engineering
• Finite difference methods for a nonlocal boundary value problem for the heat equation
• Inverse problems for the heat-conduction equation with nonlocal boundary conditions
• Numerical solution of the heat equation with nonlocal boundary conditions
• Solving a parabolic PDE with nonlocal boundary conditions using the sinc method
• Inverse problem for a time-fractional parabolic equation
• Parameter determination in a partial differential equation from the overspecified data
• A numerical method for solving a nonlinear inverse parabolic problem
• Determination of a coefficient in a quasilinear parabolic equation with periodic boundary condition
• A decreasing property of solutions of parabolic equations with applications to thermoelasticity
• Determination of parameter p(t) in Holder classes for some semilinear parabolic equations
• Alternating direction implicit methods for two-dimensional diffusion with a non-local boundary condition
• An inverse coefficient problem for a quasilinear parabolic equation with periodic boundary and integral overdetermination condition

This page was built for publication: Determination of an unknown heat source from integral overdetermination condition