| 一类具转向点椭圆型方程奇异摄动问题的数值解法 |
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| 引用本文： | 白清源(),谢丽聪(),林鹏程(). 一类具转向点椭圆型方程奇异摄动问题的数值解法[J]. 系统科学与数学, 1996, 16(4): 326-330 |
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| 作者姓名： | 白清源() 谢丽聪() 林鹏程() |
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| 作者单位： | 福州大学计算机系 |
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| 摘 要： | 本文考虑如下一类具转向点椭圆型方程奇异摄动问题的数值解法文［１］已经研究了该问题的渐近解．本文在得到渐近解余项的更好估计式后，证明了所构造的差分格式关于小参数ε的一致收敛结果．误差估计达到α阶，其中．
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| 关 键 词： | 数值解，奇异摄动问题，转向点，差分格式，一致收敛 |
NUMERICAL SOLUTION FOR A CLASS OF SINGULARLY PERTURBED ELLIPTIC EQUATION WITH TURNING POINTS |
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| Bai Qingyuan,Xie Licong,Lin Pengcheng. NUMERICAL SOLUTION FOR A CLASS OF SINGULARLY PERTURBED ELLIPTIC EQUATION WITH TURNING POINTS[J]. Journal of Systems Science and Mathematical Sciences, 1996, 16(4): 326-330 |
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| Authors: | Bai Qingyuan Xie Licong Lin Pengcheng |
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| Affiliation: | (1)Department of Computer Science, Fuzhou University, Fuzhou 350002;(2)Department of Computer Science, Fuzhou University, Fuzhou 350002;(3)Department of Computer Science, Fuzhou University, Fuzhou 350002 |
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| Abstract: | In this paper, we consider the numerical solution for a class of singUlarly perturbed elliptic equation with turning points as follows The peper [1] has studied the aspoptotic solution of this problem. After obtaining a better result about estimation of the remainder, we prove the uniform convergence on the small parameter E for a difference scheme. The estimate error is of order or which is in (0, ). |
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| Keywords: | Numerical solution singularly perturbed problem turning point differenceScheme uniform convergence. |
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