奇异摄动半线性抛物方程的数值解法

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Numerical Solutions for Singularly Perturbed Semi-linear Parabolic Equation

摘要: 本文我们讨论了一维和二维奇异摄动半线性抛物方程,我们利用直线法和精确差分格式在非均匀网中上得到了数值解.而且还证明了关于ε的一阶一致收敛性.
- 一致收敛 /
- 抛物方程 /
- 非均匀网格
Abstract: In this paper, we discuss singularly perturbed semi-linear parabolic equations for one dimension and two dimension, we find numerical solutions by using both the line-method and the exact difference scheme on a special non-uniform discretization mesh. The uniform convergence in ε of the first order accuracy is obtained.
- uniform convergence /
- parabolic equations /
- non-uniform mesh

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