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Linear barycentric rational collocation method for solving heat conduction equation
Author(s) -
Li Jin,
Cheng Yongling
Publication year - 2021
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.22539
Subject(s) - barycentric coordinate system , mathematics , collocation (remote sensing) , collocation method , thermal conduction , rate of convergence , mathematical analysis , interpolation (computer graphics) , heat equation , geometry , thermodynamics , differential equation , computer science , physics , classical mechanics , key (lock) , ordinary differential equation , computer security , machine learning , motion (physics)
The linear barycentric rational collocation method for solving heat conduction equation is presented. The matrix form of discrete heat conduction equation by collocation method is also obtained. With the help of convergence rate of the barycentric interpolation, the convergence rate of linear barycentric rational collocation method for solving heat conduction equation is proved. At last, several numerical examples are provided to validate the theoretical analysis.