The Fourier-based dimensional reduction method for solving a nonlinear inverse heat conduction problem with limited boundary data
DOI10.1016/j.cnsns.2023.107679arXiv2305.19528OpenAlexW4388572298MaRDI QIDQ6144166
Dinh Nho Hào, Loc Hoang Nguyen, Thuy T. T. Le
Publication date: 5 January 2024
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2305.19528
truncationnonlinear parabolic equationsdimensional reductionFourier seriesinverse heat conduction problempolynomial-exponential basis
Nonlinear parabolic equations (35K55) Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30) Numerical solution of boundary value problems involving ordinary differential equations (65L10) PDEs on infinite-dimensional (e.g., function) spaces (= PDEs in infinitely many variables) (35R15)
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