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奇异摄动边值问题的二阶差分格式

Uniform Second Order Difference Scheme for Boundary Value Problems of Singularly Perturbed Equation
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摘要 本文研究了奇异摄动两点边值问题的差分格式 ,利用双网点估计证明了该差分格式在最大模意义下是一致稳定的 。 In this paper,the difference schemes for two point boundary stable and value problems of singularly perturbed equation are studied.And we proved that the schemes are uniformly second order accurate by using double net points estimation.
作者 彭丽
出处 《长春理工大学学报(自然科学版)》 2002年第2期69-71,共3页 Journal of Changchun University of Science and Technology(Natural Science Edition)
关键词 奇异摄动 边值问题 差分格式 一致收敛 Singularly perturbed equation Boundary value problems Difference schemes Uniform convergence
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参考文献5

  • 1T M El - Mistikawy and M J Werle." Numerical Method for Boundary Layer with Blowing-the Exponential Box Scheme", AIAA J., 16 (1978), 749 ~751
  • 2E C Gartland. Uniform higher-order difference schemes for a singularly perturbed two point boundary value problem, Math. Comp., 51 (1978), 551~564
  • 3A M Ilin. Differencing Scheme for a differentical equation with a small parameter affecting the highest derivative, Matn. Nates. Acad. Sci. USSR., 6 (1969),596~602
  • 4Keller. H. B (1968) Numerical Methods for two point Boundary Value Problems, Blaisdell, Waltham Mass, 184, 81~86
  • 5R E O, Malley. Introduction to Singular Perturbations,Academic Press, New York, 1974

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