Solving a Cauchy problem for the heat equation using cubic smoothing splines
DOI10.1080/00036811.2021.1876224zbMath1497.65152OpenAlexW3122353454MaRDI QIDQ5867288
Mary Nanfuka, Fredrik Berntsson, Godwin Kakuba
Publication date: 13 September 2022
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00036811.2021.1876224
Numerical computation using splines (65D07) Heat equation (35K05) Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical computation of matrix norms, conditioning, scaling (65F35) Numerical methods for discrete and fast Fourier transforms (65T50) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30)
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