Barycentric rational interpolation method for solving KPP equation-Reference-Cited by-同舟云学术

Barycentric rational interpolation method for solving KPP equation

Published:2023 Issue:5 Volume:31 Page:3014-3029
ISSN:2688-1594
Container-title:Electronic Research Archive
language:
Short-container-title:era

Author:

Li Jin,Cheng Yongling

Abstract

<abstract><p>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.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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