Paper Title:
Effective Approximation for Elliptic Partial Differential Equation with Periodical Boundary Value Problem
  Abstract

Elliptic partial differential equation with periodical boundary value problem was considered. The equation would degenerate to parabolic partial differential equation when small parameter tends to zero. This is a multi-scale problem. Firstly, the property of boundary layer was discussed. Secondly, the boundary layer function was presented. The smooth component was constructed according to the boundary layer function. Thirdly, finite difference scheme for the smooth component is proposed according to transition point in time direction. Finally, experiment was proposed to illustrate that our presented method is an effective computational method.

  Info
Periodical
Edited by
Honghua Tan
Pages
1294-1300
DOI
10.4028/www.scientific.net/AMM.29-32.1294
Citation
X. Cai, "Effective Approximation for Elliptic Partial Differential Equation with Periodical Boundary Value Problem", Applied Mechanics and Materials, Vols. 29-32, pp. 1294-1300, 2010
Online since
August 2010
Authors
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Price
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