| A SINGLE STEP SCHEME WITH HIGH ACCURACY FOR PARABOLIC PROBLEM |
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| 作者姓名： | 陈传淼 胡志刚 |
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| 作者单位： | Chen Chuanmiao，Hu Zhigang Institute of Computation，Hunau Normal University，Changsha 410081，China |
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| 基金项目： | Supported by The National Natural Science Foundations of China (19871027) |
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| 摘 要： | 1 IntroductionConsider one-dimellsional parabolic problem in fl = (0, 1)and its weak formulatioll: find u(t) E S0 = {v 6 H'(fl), v(0) = 0} 8uch thatwhere the coefficients a(x) and b(x) are independent of t, Au = --(au')' ha, a(x) 2 ao > 0, b 20, and bilinear fOrm A(u, v) = fol(au'V' buv)dx i8 So-coercive, i.e. A(u, v) 2 ullu1li, u ESO, u > 0.Make in n = (0, 1) a subdivision: xo = 0 < x1 < x2 <.' < xn = 1. Set an elenlentry = (xj--l, xj), nddpoint xj--1/2 = (ry n--1)/2 and steplengt…
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| 收稿时间： | 22 June 1999 |
A SINGLE STEP SCHEME WITH HIGH ACCURACY FOR PARABOLIC PROBLEM |
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| Chen Chuanmiao,Hu Zhigang Institute of Computation,Hunau Normal University,Changsha ,China.A SINGLE STEP SCHEME WITH HIGH ACCURACY FOR PARABOLIC PROBLEM[J].Acta Mathematica Scientia,2001,21(2):237-242. |
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| Authors: | Chen Chuanmiao Hu Zhigang Institute of Computation Hunau Normal University Changsha China |
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| Institution: | Chen Chuanmiao,Hu Zhigang Institute of Computation,Hunau Normal University,Changsha 410081,China |
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| Abstract: | A single step scheme with high accuracy for solving parabolic problem is proposed. It is shown that this scheme possesses good stability and fourth order accuracy with respect to both time and space variables, which are superconvergent. |
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| Keywords: | Parabolic problem single step scheme fourth order accuracy |
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