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NUMERICAL SOLUTION OF SINGULAR PERTURBATION PROBLEMS FOR THE FOURTH-ORDER ELLIPTIC DIFFERENTIAL EQUATIONS

NUMERICAL SOLUTION OF SINGULAR PERTURBATION PROBLEMS FOR THE FOURTH-ORDER ELLIPTIC DIFFERENTIAL EQUATIONS
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摘要 In this paper we construct the finite-difference scheme for the singularly perturbed boundary value problem for the fourth-order elliptic differential equation on the basis of paper [1], and prove the uniform convergence of this scheme with respect to the small parameter Ε in the discrete energy norm. Finally, we give a numerical example. In this paper we construct the finite-difference scheme for the singularly perturbed boundary value problem for the fourth-order elliptic differential equation on the basis of paper [1], and prove the uniform convergence of this scheme with respect to the small parameter Ε in the discrete energy norm. Finally, we give a numerical example.
出处 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1991年第10期943-966,共24页 应用数学和力学(英文版)
关键词 Mathematical Techniques Boundary Value Problems Mathematical Techniques Boundary Value Problems
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