Error Analysis of a Linear Spline Method for Solving an Abel Integral Equation.

Abstract

A linear spline method for the solution of the Abel integral equation is analyzed. The approximate solution along with its derivative converges to the corresponding exact solutions at each point in the interval of integration, the orders of convergence being two and one, respectively. An asymptotic formula for the discretization error is obtained. The method is illustrated by a numerical example.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1978
Accession Number
ADA068896

Entities

People

  • Hing-sum Hung

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Contracts
  • Convergence
  • Equations
  • Error Analysis
  • Errors
  • Geometry
  • Integral Equations
  • Integrals
  • Intervals
  • Inversion
  • Mathematical Analysis
  • Mathematics
  • North Carolina
  • Numerical Analysis
  • Radiation
  • United States
  • Volterra Equations

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)