A Numerical Method for Heat Equations Involving Interfaces

Abstract

In 1993, Li and Mayo gave a finite-difference method with second order accuracy for solving the heat equations involving interfaces with constant coefficients and discontinuous sources Proc. Symp. Appl. Math. Vol. 48, W.Gautschi ed., AMS, 1993, p 311-315. In this paper, we improve the above result by presenting a finite-difference method which allows each coefficient to be taken different values in different subregions divided by the interface, that is useful in applications. Our method also has second order accuracy.

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Document Details

Document Type
Technical Report
Publication Date
May 01, 2003
Accession Number
ADA413525

Entities

People

  • Yun-qiu Shen
  • Zhilin Li

Organizations

  • North Carolina State University

Tags

DTIC Thesaurus Topics

  • Accuracy
  • Approximation (Mathematics)
  • Coefficients
  • Computations
  • Coordinate Systems
  • Differential Equations
  • Equations
  • Errors
  • Formulas (Mathematics)
  • Grids
  • Mathematical Analysis
  • Mathematics
  • North Carolina
  • Truncation
  • Universities

Fields of Study

  • Mathematics

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