Numerical solution of second-order one-dimensional hyperbolic equation by exponential B-spline collocation method

被引：16

作者：

Singh S. ^{[1
]}

Arora R. ^{[3
]}

机构：

[1] Department ofMathematics, Sri Venkateswara College, University of Delhi, New Delhi

[2] Department of Mathematics, University of Delhi, New Delhi

[3] Department of Mathematics, Aditi Mahavidyalaya, University of Delhi, Delhi

来源：

Numerical Analysis and Applications | 2017年 / 10卷 / 02期

关键词：

damped wave equation; exponential B-spline method; SSPRK(2,2); telegraphic equation; tri-diagonal solver; unconditionally stable method;

D O I：

10.1134/S1995423917020070

中图分类号：

学科分类号：

摘要：

In this paper, we propose a method based on collocation of exponential B-splines to obtain numerical solution of a nonlinear second-order one-dimensional hyperbolic equation subject to appropriate initial and Dirichlet boundary conditions. The method is a combination of B-spline collocation method in space and two-stage, second-order strong-stability-preserving Runge–Kutta method in time. The proposed method is shown to be unconditionally stable. The efficiency and accuracy of the method are successfully described by applying the method to a few test problems. © 2017, Pleiades Publishing, Ltd.

引用

页码：164 / 176

页数：12

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