Cubic Spline Solution of Integral Equations.

Abstract

The solution of linear integral equations of the form f1(x)g(x)+f2(x)g(x)+f3(x) = integral from a(x) to b(x) of k(x,y)g(p(x,y))dy is considered. The equations is reduced to a set of linear algebraic equations in the values of g(x) on a finite mesh. The method entails formal orthogonal polynominal quadrature of the integral and subsequent formal cubic spline interpolation for the values of g at the mesh points. Discontinuities in the derivatives of g are accommodated. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Mar 05, 1979
Accession Number
ADA067297

Entities

People

  • George P. Mueller
  • Mervine Rosen

Organizations

  • United States Naval Research Laboratory

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Amorphous Materials
  • Computer Programs
  • Continuity
  • Differential Equations
  • Discontinuities
  • Equations
  • Integral Equations
  • Integrals
  • Interpolation
  • Intervals
  • Linear Algebraic Equations
  • Military Research
  • Notation
  • Numerical Quadrature
  • Polynomials
  • Radiation

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Calculus or Mathematical Analysis