Barycentric rational interpolation method for solving KPP equation

Autor:	Jin Li, Yongling Cheng
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	barycentric rational interpolation collocation method kolmogorov-petrovskii-piskunov equation non linear pde Mathematics QA1-939 Applied mathematics. Quantitative methods T57-57.97
Zdroj:	Electronic Research Archive, Vol 31, Iss 5, Pp 3014-3029 (2023)
Druh dokumentu:	article
ISSN:	2688-1594
DOI:	10.3934/era.2023152?viewType=HTML
Popis:	In this paper, we seek to solve the Kolmogorov-Petrovskii-Piskunov (KPP) equation by the linear barycentric rational interpolation method (LBRIM). As there are non-linear parts in the KPP equation, three kinds of linearization schemes, direct linearization, partial linearization, Newton linearization, are presented to change the KPP equation into linear equations. With the help of barycentric rational interpolation basis function, matrix equations of three kinds of linearization schemes are obtained from the discrete KPP equation. Convergence rate of LBRIM for solving the KPP equation is also proved. At last, two examples are given to prove the theoretical analysis.
Databáze:	Directory of Open Access Journals
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