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Linear barycentric rational collocation method for solving telegraph equation
Author(s) -
Li Jin,
Su Xiaoning,
Qu Jinzheng
Publication year - 2021
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.7548
Subject(s) - barycentric coordinate system , mathematics , rate of convergence , interpolation (computer graphics) , collocation method , linear interpolation , correctness , collocation (remote sensing) , convergence (economics) , mathematical analysis , algorithm , polynomial , geometry , computer science , differential equation , ordinary differential equation , computer graphics (images) , machine learning , economic growth , economics , animation , computer network , channel (broadcasting)
In this paper, the linear barycentric rational interpolation collocation method for solving one‐ and two‐dimensional telegraph equation is presented. The barycentric rational interpolation is introduced. Following the barycentric rational interpolation method, the matrix form of the collocation method is also obtained which can be easily programmed. With the help of the convergence rate of the linear barycentric rational interpolation, the convergence rate of linear barycentric rational collocation method for solving telegraph equation is proved. At last, several numerical examples are provided to show the convergence rate and verify the correctness of the theoretical analysis.