A conservative algorithm based on a hybrid block method and tension B-spline differential quadrature method for Rosenau-KdV-RLW equation

被引：2

作者：

Kaur, Anurag ^{[1
]}

Kanwar, V. ^{[2
]}

Ramos, Higinio ^{[3
]}

机构：

[1] Panjab Univ, Dept Math, Chandigarh, India

[2] Panjab Univ, Univ Inst Engn & Technol, Chandigarh, India

[3] Univ Salamanca, Dept Matemat Aplicada, Salamanca, Spain

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2024年 / 47卷 / 11期

关键词：

differential quadrature method; hybrid block method; Rosenau-KdV-RLW equation; uniform algebraic trigonometric tension B-splines; RADIAL BASIS FUNCTIONS; NUMERICAL-SOLUTION; LONG WAVES; SIMULATION; SOLITONS; SCHEME; MODEL; LAWS;

D O I：

10.1002/mma.10036

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this study, the authors present a uniform algebraic trigonometric tension B-spline-based differential quadrature method combined with an optimized hybrid block method to numerically solve the Rosenau-KdV-RLW equation. The discrete mass and energy have been calculated, showing that they are conserved, thus indicating the efficiency and accuracy of the present approach. The method outperforms other methods and does not require linearization, allowing it to be directly implemented for solving nonlinear partial differential equations.

引用

页码：8638 / 8650

页数：13

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