A high order numerical scheme for a nonlinear nonlocal reaction-diffusion model arising in population theory

被引：0

作者：

Venturino, Ezio ^{[4
]}

Anita, Sebastian ^{[2
,3
]}

Mezzanotte, Domenico ^{[4
]}

Occorsio, Donatella ^{[1
,5
]}

机构：

[1] Univ Basilicata, Dept Math Comp Sci & Econ, Via Ateneo Lucano 10, I-85100 Potenza, Italy

[2] Alexandru Ioan Cuza Univ, Fac Math, Bd Carol 1 11, Iasi 700506, Romania

[3] Romanian Acad, Octav Mayer Inst Math, Bd Carol 1 8, Iasi 700505, Romania

[4] Univ Turin, Dept Math Giuseppe Peano, Via Carlo Alberto 10, I-10123 Turin, Italy

[5] CNR Natl Res Council Italy, IAC Inst Appl Comp Mauro Picone, Via P Castellino 111, I-80131 Naples, Italy

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2024年 / 451卷

关键词：

Reaction diffusion equations; Line method; Generalized Bernstein polynomials; BOUNDARY-PROBLEM; RED SQUIRREL; EQUATIONS; REPLACEMENT; COMPETITION; WAVES;

D O I：

10.1016/j.cam.2024.116082

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper provides a numerical method for nonlinear equation arising in mathematical biology. It is an extension of another one recently proposed for the linear, less realistic, situation. The main novel result is the proof that the convergence of the numerical method is of order four, as to our knowledge no similar high accuracy results exist yet in the current literature for usually employed simulation schemes for nonlocal equations.

引用

页数：14

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