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• W4214486255 startingPage "773" @default.
• W4214486255 abstract "In this study, an efficient localized method of fundamental solution (LMFS) is applied to nonlinear heat conduction with mixed boundary conditions. Since the thermal conductivity is temperature-dependent, the Kirchhoff transformation is used to transform the nonlinear partial differential equations (PDEs) into Laplace equations with nonlinear boundary conditions. Then the LMFS is applied to the governing equation, and the nonlinear equations are treated by the fictitious time integration method (FTIM). Both 2D and 3D numerical examples are proposed to verify the effectiveness of the LMFS." @default.
• W4214486255 created "2022-03-02" @default.
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• W4214486255 date "2022-02-28" @default.
• W4214486255 modified "2023-09-26" @default.
• W4214486255 title "A Localized Method of Fundamental Solution for Numerical Simulation of Nonlinear Heat Conduction" @default.
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• W4214486255 doi "https://doi.org/10.3390/math10050773" @default.
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