时间导数项含小参数的抛物方程的数值解法
Numerical Methods for Parabolic Equation with a Small Parameter in Time Variable
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摘要: 本文讨论时间导数项含小参数的抛物方程.我们依Бахволов构造非均匀网格的差分格式,并证明了格式的一阶一致收敛性.给出了数值结果.Abstract: In this paper, we discuss the parabolic equation with a small parameter on the derivative in time variable. We construct difference scheme on the non-uniform mesh according to Bakhvalov, and prove the one-order uniform convergence of this scheme. Numerical results are presented.
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Key words:
- difference scheme /
- uniform convergence /
- parabolic type equation /
- non-uniform mesh
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