| 在非均匀网格上求解一类具边界摄动的非自伴奇异摄动第三边值问题 |
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| 引用本文： | 孙小弟,王燕萍.在非均匀网格上求解一类具边界摄动的非自伴奇异摄动第三边值问题[J].南京大学学报(自然科学版),1993(2). |
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| 作者姓名： | 孙小弟 王燕萍 |
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| 作者单位： | 南京大学数学系，河海大学计算机系 |
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| 摘 要： | 本文考虑非自伴奇异摄动第三边值问题,证明了在一特殊的非均匀网格上迎风差分格式是一阶一致收敛的.并给出了数值例子.
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| 关 键 词： | 奇异摄动第三边值问题 迎风差分格式 非均匀网格 |
NUMERICAL SOLUTIOU OF A SINGULARLY PERTURBED THIRD BOUNDARY VALUE PROBLEM ON A NONUNIFORM MESH |
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| Sun Xiaodi.NUMERICAL SOLUTIOU OF A SINGULARLY PERTURBED THIRD BOUNDARY VALUE PROBLEM ON A NONUNIFORM MESH[J].Journal of Nanjing University: Nat Sci Ed,1993(2). |
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| Authors: | Sun Xiaodi |
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| Abstract: | We analyze the upwind difference scheme for a non-selfadjoint singularly perturbed third boundary value problem on a special nonuniform mesh.The mesh is gener- ated by a suitable function which redistributes the equidistant points.The first order convergence,uniform in the small parameter (?)is proved and some illustrative numerical re- sults are also provided. |
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| Keywords: | singularly perturbed third boundary value problem nonuniform mesh |
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