Numerical Solution of Generalized Kuramoto–Sivashinsky Equation Using Cubic Trigonometric B-Spline Based Differential Quadrature Method and One-Step Optimized Hybrid Block Method

被引：0

作者：

Kaur A. ^{[1
]}

Kanwar V. ^{[2
]}

机构：

[1] Department of Mathematics, Panjab University, Chandigarh

[2] University Institute of Engineering and Technology, Panjab University, Chandigarh

来源：

International Journal of Applied and Computational Mathematics | 2022年 / 8卷 / 1期

关键词：

Cubic trigonometric B-splines; Differential quadrature; Hybrid block method; Kuramoto–Sivashinsky equation;

D O I：

10.1007/s40819-021-01220-1

中图分类号：

学科分类号：

摘要：

A novel combination of two schemes has been implemented to determine the approximate solution of Kuramoto–Sivashinsky equation. Differential quadrature method using well-known cubic trigonometric B-splines is adapted in space to obtain a system of initial value problems and reformulated one-step optimized hybrid block method is constructed to deal with the resulted system. A stability and convergence analysis of the method is discussed in detail. Numerical findings corroborate the accuracy and better performance of the proposed method. © 2022, The Author(s), under exclusive licence to Springer Nature India Private Limited.

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