BOUNDS FOR EIGENVALUES OF THE STURM-LIOUVILLE PROBLEM BY FINITE DIFFERENCE METHODS

Abstract

Certain finite difference analogues are proposed for a class of Sturm-Liouville eigenvalue problems. It is shown that the eigenvalues of the related matrix problems differ from their counterparts in the Sturm-Liouville problem by zero (h squared) where h is the mesh size. The expressions in this bound are obtained explicitly in terms of the coefficients of the differential equation and their first derivatives. (Author)

Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1961
Accession Number
AD0264737

Entities

People

  • B.e. Hubbard

Organizations

  • University of Maryland

Tags

DTIC Thesaurus Topics

  • Analogs
  • Coefficients
  • Differential Equations
  • Eigenvalues
  • Equations
  • Mathematics

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)