An Unconditionally Stable Numerical Method for Two-Dimensional Hyperbolic Equations

被引：2

作者：

Singh, Swam ^{[1
]}

Singh, Suruchi ^{[2
]}

Arora, Rajni ^{[3
]}

机构：

[1] Univ Delhi, Sri Venkateswara Coll, Dept Math, New Delhi 110021, India

[2] Univ Delhi, Aditi Mahavidyalaya, Dept Math, New Delhi 110039, India

[3] Univ Delhi, Dept Math Sci, New Delhi 110007, India

来源：

EAST ASIAN JOURNAL ON APPLIED MATHEMATICS | 2019年 / 9卷 / 01期

关键词：

Collocation method; SSP-RK(2,2); telegraph equation; tri-diagonal solver; unconditional stability; TELEGRAPH EQUATION;

D O I：

10.4208/eajam.280118.100518

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A collocation method based on exponential B-splines for two-dimensional second-order non-linear hyperbolic equations is studied. The initial equation is split into a system of coupled equations, each of which is transformed into a system of ordinary differential equations. The corresponding differential equations are solved by SSP-RK(2,2) method. It is shown that the method under consideration is unconditionally stable. Numerical experiments demonstrate its efficiency and accuracy.

引用

页码：195 / 211

页数：17

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