A new approach for numerical solution of Kuramoto-Tsuzuki equation

被引：1

作者：

Labidi, Samira ^{[1
]}

Omrani, Khaled ^{[2
]}

机构：

[1] Univ Carthage, Fac Sci Bizerte, Math Phys Quantum Modeling & Mech Concept, LR18ES45, Zarzouna 7021, Tunisia

[2] Univ Tunis El Manar, Math Phys Modeling Quantum & Mech Concept, Preparatory Inst Engn Studies El Manar, LR18ES45, Tunis 2092, Tunisia

来源：

APPLIED NUMERICAL MATHEMATICS | 2023年 / 184卷

关键词：

Kuramoto-Tsuzuki Eq; High-order finite difference method; Stability; Convergence; NONLINEAR SCHRODINGERS EQUATION; FINITE-DIFFERENCE SCHEME; SIVASHINSKY EQUATION; SOLITON-SOLUTIONS; OPTICAL SOLITONS; CONVERGENCE;

D O I：

10.1016/j.apnum.2022.11.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A fourth-order finite difference scheme for the Kuramoto-Tsuzuki equation is considered. The theoretical properties of the proposed scheme, such as the existence, uniqueness and the consistency errors are analyzed. The error estimates in a discrete maximum-norm show that the convergence rates of the difference scheme areof order O(h(4)+ k(2)). Some numerical experiments are reported to confirm the advantages of the proposed difference scheme by comparing it with other existing recent numerical methods. (c) 2022 IMACS. Published by Elsevier B.V. All rights reserved.

引用

页码：527 / 541

页数：15

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