Numerical Methods for Parabolic Equation with a Small Parameter in Time Variable

Wu Qi-guang; Li Ji-chun

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Wu Qi-guang, Li Ji-chun. Numerical Methods for Parabolic Equation with a Small Parameter in Time Variable[J]. Applied Mathematics and Mechanics, 1991, 12(8): 685-691.

Citation:

Wu Qi-guang, Li Ji-chun. Numerical Methods for Parabolic Equation with a Small Parameter in Time Variable[J]. Applied Mathematics and Mechanics, 1991, 12(8): 685-691.

Citation:

Wu Qi-guang, Li Ji-chun. Numerical Methods for Parabolic Equation with a Small Parameter in Time Variable[J]. Applied Mathematics and Mechanics, 1991, 12(8): 685-691.

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Numerical Methods for Parabolic Equation with a Small Parameter in Time Variable

Dept. of Math., Nanjing Univ., Nanjing

Received Date: 1990-11-06
Publish Date: 1991-08-15

Abstract

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.
- difference scheme,
- uniform convergence,
- parabolic type equation,
- non-uniform mesh