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AN EFFICIENT SECOND-ORDER NON-ITERATIVE FINITE DIFFERENCE SCHEME FOR HYPERBOLIC TELEGRAPH EQUATIONS

황홍택|전윤배
한국수학교육학회|2010.11|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제17권 제4호|pp. 289-298

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참고문헌

키워드

domain decompositionsecond-order accuracy¯nite di®erence methodhyperbolic telegraph equationunconditional stability.
주제분류수학

초록

In this paper, we propose a second-order prediction/correction (SPC)domain decomposition method for solving one dimensional linear hyperbolic partial di®erential equation utt +a(x; t)ut +b(x; t)u = c(x; t)uxx +f(x; t). The method can be applied to variable coe±cients problems and singular problems. Unconditional stability and error analysis of the method have been carried out. Numerical results support stability and e±ciency of the method.

Abstract

In this paper, we propose a second-order prediction/correction (SPC)domain decomposition method for solving one dimensional linear hyperbolic partial di®erential equation utt +a(x; t)ut +b(x; t)u = c(x; t)uxx +f(x; t). The method can be applied to variable coe±cients problems and singular problems. Unconditional stability and error analysis of the method have been carried out. Numerical results support stability and e±ciency of the method.

참고문헌 (19)

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