Properties of a method of fundamental solutions for the parabolic heat equation

DOI10.1016/j.aml.2016.08.021zbMath1353.35021OpenAlexW2536124417MaRDI QIDQ346321

B. Tomas Johansson

Publication date: 5 December 2016

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

Full work available at URL: https://publications.aston.ac.uk/id/eprint/29299/1/Fundamental_solutions_for_the_parabolic_heat_equation.pdf

zbMATH Keywords

point source

Mathematics Subject Classification ID

Fundamental solutions to PDEs (35A08) Theoretical approximation in context of PDEs (35A35) Heat kernel (35K08)

Related Items (7)

Sequential particle filter estimation of a time-dependent heat transfer coefficient in a multidimensional nonlinear inverse heat conduction problem ⋮ Inverse heat conduction problem in two-dimensional anisotropic medium ⋮ Efficient numerical solution of one‐phase linear inverse Stefan and Cauchy–Stefan problems in two dimensions: A posteriori error control ⋮ Source identification problems for radially symmetric and axis-symmetric heat conduction equations ⋮ On non-denseness for a method of fundamental solutions with source points fixed in time for parabolic equations ⋮ Efficient numerical solution of boundary identification problems: MFS with adaptive stochastic optimization ⋮ Sequential estimation of the time-dependent heat transfer coefficient using the method of fundamental solutions and particle filters

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• Some Elementary Properties of the Fundamental Solution of Parabolic Equations
• A method for the approximate solution of limiting problems in mathematical physics
• Inverse problems for partial differential equations

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