POLYNOMIAL BASED DIFFERENTIAL QUADRATURE FOR NUMERICAL SOLUTIONS OF KURAMOTO-SIVASHINSKY EQUATION

被引：3

作者：

Yigit, Gulsemay ^{[1
]}

Bayram, Mustafa ^{[2
]}

机构：

[1] Altinbas Univ, Sch Engn & Nat Sci, Istanbul, Turkey

[2] Istanbul Gelisim Univ, Dept Comp Engn, Istanbul, Turkey

来源：

THERMAL SCIENCE | 2019年 / 23卷

关键词：

Kuramoto-Sivashinski equation; differential quadrature; Chebyshev polynomials; SPLINE COLLOCATION METHOD; FAMILY;

D O I：

10.2298/TSCI180917337Y

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

In this study, a numerical discrete derivative technique for solutions of Kuramoto-Sivashinksy equation is considered. According to the procedure, differential quadrature algorithm is adapted in space by using Chebyshev polynomials and explicit scheme is constructed to discretize time derivative. Sample problems are presented to support the idea. Numerical solutions are compared with exact solutions and also previous works. It is observed that the numerical solutions are well matched with the exact or existing solutions.

引用

页码：S129 / S137

页数：9

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