A Direct Method and Convergence Analysis for Some System of Singular Integro-Differential Equations

Abstract

A class of singular integro-differential equations in Leheague spaces are studied. There are many applications of the singular integro-differential equations discussed in this paper. An example in modeling the stress distribution of an elastic medium with holes is discussed in the paper. Direct numerical schemes using a collocation method and a mechanical quadrature rule designed for the singular integro-differential equations are proposed for arbitrary smooth closed contours. Convergence analysis of theses methods are given. Numerical examples are also provided.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2003
Accession Number
ADA451436

Entities

People

  • Lurie Caraus
  • Zhilin Li

Organizations

  • North Carolina State University

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  • Air Platforms

DTIC Thesaurus Topics

  • Abstracts
  • Analytic Functions
  • Boundaries
  • Convergence
  • Differential Equations
  • Elastic Properties
  • Electronic Mail
  • Equations
  • Integral Equations
  • Integrals
  • Linear Algebraic Equations
  • Mathematical Analysis
  • Mathematics
  • North Carolina
  • Numbers
  • Real Numbers
  • Theorems

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis

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  • Space