Explicit Solution of Telegraph Equation Based on Reproducing Kernel Method

被引：22

作者：

Inc, Mustafa ^{[1
]}

Akgul, Ali ^{[2
]}

Kilicman, Adem ^{[3
,4
]}

机构：

[1] Firat Univ, Fac Sci, Dept Math, TR-23119 Elazig, Turkey

[2] Dicle Univ, Fac Educ, Dept Math, TR-21280 Diyarbakir, Turkey

[3] Univ Putra Malaysia, Dept Math, Serdang 43400, Selangor, Malaysia

[4] Univ Putra Malaysia, Inst Math Res, Serdang 43400, Selangor, Malaysia

来源：

JOURNAL OF FUNCTION SPACES AND APPLICATIONS | 2012年

关键词：

BOUNDARY-VALUE-PROBLEMS; EFFICIENT COMPUTATIONAL METHOD; NUMERICAL-SOLUTION; DIFFERENCE SCHEME; HEAT-EQUATION; ALGORITHM; APPROXIMATION; SYSTEM;

D O I：

10.1155/2012/984682

中图分类号：

学科分类号：

摘要：

We propose a reproducing kernel method for solving the telegraph equation with initial conditions based on the reproducing kernel theory. The exact solution is represented in the form of series, and some numerical examples have been studied in order to demonstrate the validity and applicability of the technique. The method shows that the implement seems easy and produces accurate results.

引用

页数：23

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