A boundary element and radial basis function method for the Cattaneo–Vernotte equation in anisotropic media with spatially varying and temperature dependent properties
A numerical method based on boundary integral equation formulation and radial basis function approximation is presented for the numerical solution of the Cattaneo–Vernotte hyperbolic equation in anisotropic media with spatially varying and temperature dependent properties. Specific test problems are...
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sg-ntu-dr.10356-1640142023-01-03T00:50:17Z A boundary element and radial basis function method for the Cattaneo–Vernotte equation in anisotropic media with spatially varying and temperature dependent properties Ang, Whye Teong School of Mechanical and Aerospace Engineering Engineering::Mechanical engineering Science::Mathematics::Applied mathematics Cattaneo–Vernotte Equation Anisotropic Media A numerical method based on boundary integral equation formulation and radial basis function approximation is presented for the numerical solution of the Cattaneo–Vernotte hyperbolic equation in anisotropic media with spatially varying and temperature dependent properties. Specific test problems are solved to verify the validity and accuracy of the proposed numerical procedure. Published version 2023-01-03T00:50:17Z 2023-01-03T00:50:17Z 2021 Journal Article Ang, W. T. (2021). A boundary element and radial basis function method for the Cattaneo–Vernotte equation in anisotropic media with spatially varying and temperature dependent properties. Partial Differential Equations in Applied Mathematics, 4, 100138-. https://dx.doi.org/10.1016/j.padiff.2021.100138 2666-8181 https://hdl.handle.net/10356/164014 10.1016/j.padiff.2021.100138 2-s2.0-85125868457 4 100138 en Partial Differential Equations in Applied Mathematics © 2021 The Author. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/). application/pdf |
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Engineering::Mechanical engineering Science::Mathematics::Applied mathematics Cattaneo–Vernotte Equation Anisotropic Media Ang, Whye Teong A boundary element and radial basis function method for the Cattaneo–Vernotte equation in anisotropic media with spatially varying and temperature dependent properties |
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A numerical method based on boundary integral equation formulation and radial basis function approximation is presented for the numerical solution of the Cattaneo–Vernotte hyperbolic equation in anisotropic media with spatially varying and temperature dependent properties. Specific test problems are solved to verify the validity and accuracy of the proposed numerical procedure. |
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School of Mechanical and Aerospace Engineering |
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School of Mechanical and Aerospace Engineering Ang, Whye Teong |
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Ang, Whye Teong |
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Ang, Whye Teong |
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A boundary element and radial basis function method for the Cattaneo–Vernotte equation in anisotropic media with spatially varying and temperature dependent properties |
title_short |
A boundary element and radial basis function method for the Cattaneo–Vernotte equation in anisotropic media with spatially varying and temperature dependent properties |
title_full |
A boundary element and radial basis function method for the Cattaneo–Vernotte equation in anisotropic media with spatially varying and temperature dependent properties |
title_fullStr |
A boundary element and radial basis function method for the Cattaneo–Vernotte equation in anisotropic media with spatially varying and temperature dependent properties |
title_full_unstemmed |
A boundary element and radial basis function method for the Cattaneo–Vernotte equation in anisotropic media with spatially varying and temperature dependent properties |
title_sort |
boundary element and radial basis function method for the cattaneo–vernotte equation in anisotropic media with spatially varying and temperature dependent properties |
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2023 |
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https://hdl.handle.net/10356/164014 |
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1754611296315113472 |