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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2010.1
- 수록면
- 289 - 298 (10page)
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초록· 키워드
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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.
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참고문헌 (19)
참고문헌 신청
A. Mohebbi / 2008 / High order compact solution of the one-space-dimensional linear hyperbolic equation / Numer. Methods Partial Differential Equations 24 : 1222 ~ 1235
C.N. Dawson / 1994 / Noniterative domain decomposition for second order hyperbolic problems / Contemp. Math 157 : 45 ~ 52
H. Ding / 2009 / A new unconditionally stable compact difference scheme of O(T2+h4) for the 1D linear hyperbolic equation / Appl. Math. Comput 207 : 236 ~ 241
J.J. Benito / 2007 / Solving parabolic and hyperbolic equations by the generalized finite difference method / J. Comput. Appl. Math 209 : 208 ~ 233
K.K. Sharma / 2008 / Hyperbolic partial differential-difference equation in the mathematical modeling of neuronal firing and its numerical solution / Appl. Math. Com-put 201
C.N. Dawson / 1994 / Noniterative domain decomposition for second order hyperbolic problems / Contemp. Math 157 : 45 ~ 52
H. Ding / 2009 / A new unconditionally stable compact difference scheme of O(T2+h4) for the 1D linear hyperbolic equation / Appl. Math. Comput 207 : 236 ~ 241
J.J. Benito / 2007 / Solving parabolic and hyperbolic equations by the generalized finite difference method / J. Comput. Appl. Math 209 : 208 ~ 233
K.K. Sharma / 2008 / Hyperbolic partial differential-difference equation in the mathematical modeling of neuronal firing and its numerical solution / Appl. Math. Com-put 201
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