HIGHER-ORDER APPROXIMATIONS TO THE COMPUTATIONAL SOLUTION OF PARTIAL DIFFERENTIAL EQUATIONS

Abstract

Two techniques of approximating the solution to a partial differential equation are investigated. Using the first of these, the solution is approximated at each stage by a higher-order difference algorithm. The second technique is that of storing the function at each stage by a polynomial. Numerical results were obtained from a FORTRAN program applying these techniques to the equation u sub t= uu sub x.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1964
Accession Number
AD0429018

Entities

People

  • Stanley Azen

Organizations

  • RAND Corporation

Tags

DTIC Thesaurus Topics

  • Algorithms
  • Corporations
  • Difference Equations
  • Differential Equations
  • Equations
  • Errors
  • Formulas (Mathematics)
  • Mathematical Analysis
  • Mathematics
  • Partial Differential Equations
  • Polynomials

Fields of Study

  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Computer Science/Computer Engineering/Data Science/Digital Signal Processing.