A meshless method to determine a source term in heat equation with radial basis functions

DOI10.1155/2013/761272zbMath1301.35217OpenAlexW2088778012WikidataQ58920755 ScholiaQ58920755MaRDI QIDQ463181

Baiyu Wang, An-Ping Liao

Publication date: 16 October 2014

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

Full work available at URL: https://doi.org/10.1155/2013/761272

zbMATH Keywords

heat equationinverse problemradial basis functionsmeshless numerical method

Mathematics Subject Classification ID

Heat equation (35K05) Inverse problems for PDEs (35R30) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)

Related Items (2)

Application of compact local integrated RBF (CLI-RBF) for solving transient forward and backward heat conduction problems with continuous and discontinuous sources ⋮ Unnamed Item

Cites Work

• A method for solving partial differential equations via radial basis functions: application to the heat equation
• Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree
• Determination of a control parameter in a one-dimensional parabolic equation using the method of radial basis functions
• The boundary-element method for the determination of a heat source dependent on one variable
• Local error estimates for radial basis function interpolation of scattered data
• Radial Basis Functions
• Radial basis functions method for parabolic inverse problem
• Scattered Data Approximation

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