High order accurate method for the numerical solution of the second order linear hyperbolic telegraph equation

被引：2

作者：

Kirli, Emre ^{[1
]}

Irk, Dursun ^{[2
]}

Zorsahin Gorgulu, Melis ^{[2
,3
]}

机构：

[1] Istanbul Bilgi Univ, Dept Math, Istanbul, Turkey

[2] Eskisehir Osmangazi Univ, Dept Math & Comp Sci, Eskisehir, Turkey

[3] Eskisehir Osmangazi Univ, Dept Math & Comp Sci, TR-26040 Eskisehir, Turkey

来源：

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2023年 / 39卷 / 03期

关键词：

cubic B-spline function; finite difference method; finite element method; fourth order one-step method; Galerkin method; second order linear; DIFFERENCE SCHEME; ALGORITHM;

D O I：

10.1002/num.22957

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this study, the Galerkin finite element method is applied to get the numerical solution of the linear telegraph equation by using cubic B-spline function. Differently from the existing studies, the fourth order one-step method is used to discretize in time the telegraph equation. The efficiency and accuracy of the proposed method is studied by three examples. The obtained results are shown that the proposed method has a higher accuracy.

引用

页码：2060 / 2072

页数：13

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