Numerical Solution of Nonlinear Parabolic Equations.

Abstract

A method of solution is obtained for a class of nonlinear parabolic partial differential equations. An analysis is made of the existence and uniqueness of a solution to a special class of semilinear systems arising from various discretisations of the differential equation. A numerical procedure for solving singular problems is given. A method of approximate block relaxation is shown to converge globally, and an application to a quadratic system is presented. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1977
Accession Number
ADA046313

Entities

People

  • Samuel Schechter

Organizations

  • SRI International

Tags

Communities of Interest

  • Energy and Power Technologies
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Convergence
  • Differential Equations
  • Eigenvalues
  • Equations
  • Identities
  • Iterations
  • Mathematics
  • Military Research
  • New York
  • Nonlinear Systems
  • North Carolina
  • Notation
  • Numbers
  • Partial Differential Equations
  • Sequences
  • Square Roots
  • Theorems

Fields of Study

  • Mathematics

Readers

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