The Fourier spectral method for determining a heat capacity coefficient in a parabolic equation

DOI10.55730/1300-0098.3329OpenAlexW4312855136MaRDI QIDQ5879462

No author found.

Publication date: 1 March 2023

Published in: Turkish Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.55730/1300-0098.3329

zbMATH Keywords

inverse problemparabolic equationnumerical algorithmFourier spectral methodoverdetermination condition

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Heat equation (35K05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Finite difference methods for boundary value problems involving PDEs (65N06) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) PDEs in connection with classical thermodynamics and heat transfer (35Q79) PDE constrained optimization (numerical aspects) (49M41)

Related Items (1)

An inverse problem of finding a time-dependent coefficient in a fractional diffusion equation

Uses Software

• Matlab

Cites Work

• Unnamed Item
• Unnamed Item
• Simultaneous determination of time-dependent coefficients in the heat equation
• An inverse coefficient problem for the heat equation in the case of nonlocal boundary conditions
• Problem of determining the thermal memory of a conducting medium
• A class of inverse problems for nonlinear parabolic equations
• On the inverse problem of simultaneous determination of thermal conductivity and specific heat capacity
• Simultaneous determination of time and space-dependent coefficients in a parabolic equation
• Inverse problem of determining the kernel in an integro-differential equation of parabolic type
• The inverse problem of the heat equation with periodic boundary and integral overdetermination conditions
• Spectral Methods
• Spectral Methods in MATLAB
• A multidimensional diffusion coefficient determination problem for the time-fractional equation
• Simultaneous determination of unknown coefficients in a parabolic equation
• Numerical procedure for the simultaneous determination of unknown coefficients in a parabolic equation

This page was built for publication: The Fourier spectral method for determining a heat capacity coefficient in a parabolic equation