Convergence of two conservative high-order accurate difference schemes for the generalized Rosenau-Kawahara-RLW equation

被引：22

作者：

Ghiloufi, Ahlem ^{[1
,2
]}

Rahmeni, Mohamed ^{[2
]}

Omrani, Khaled ^{[2
]}

机构：

[1] Taif Univ, Khurmah Univ Coll, Dept Math, At Taif, Saudi Arabia

[2] Univ Sousse, Inst Super Sci Appl & Technol Sousse, Ibn Khaldoun 4003, Sousse, Tunisia

来源：

ENGINEERING WITH COMPUTERS | 2020年 / 36卷 / 02期

关键词：

Rosenau-Kawahara-RLW equation; Nonlinear difference scheme; Linearized difference scheme; Solitary wave solutions; Conservation laws; Fourth-order accuracy; Unique solvability; Convergence; CCD-ADI METHOD; KDV EQUATION; SOLITONS; MODEL; LAWS;

D O I：

10.1007/s00366-019-00719-y

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this paper, we present two high-order accurate difference schemes for the generalized Rosenau-Kawahara-RLW equation. The proposed schemes guarantee the conservation of the discrete energy. The unique solvability of the difference solution is proved. A priori error estimates for the numerical solution is derived. Convergence and stability of the difference schemes are proved. The convergence order is O(h4+k2) in the uniform norm is discussed without any restrictions on the mesh sizes. Finally, numerical experiments are carried out to support the theoretical claims.

引用

页码：617 / 632

页数：16

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