Applications of an Exponential Finite Difference Technique

Abstract

An exponential finite difference scheme first presented by Bhattacharya for one dimensional unsteady heat conduction problems in Cartesian coordinates has been extended. The finite difference algorithm developed was used to solve the unsteady diffusion equation in one-dimensional cylindrical coordinates and was applied to two- and three-dimensional conduction problems in Cartesian coordinates. Heat conduction involving variable thermal conductivity was also investigated. The method was used to solve nonlinear partial differential equations in one (Burger's equation) and two- (boundary layer equations) dimensional Cartesian coordinates. Predicted results are compared to exact solutions where available or to results obtained by other numerical methods.

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1988
Accession Number
ADA199197

Entities

People

  • Robert F. Handschuh
  • Theo G. Keith Jr.

Organizations

  • National Aeronautics and Space Administration

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Army Aviation
  • Boundary Layer
  • Cartesian Coordinates
  • Difference Equations
  • Differential Equations
  • Engineering
  • Equations
  • Fluid Flow
  • Heat Transfer
  • Heat Transfer Coefficients
  • Layers
  • Mainframe Computers
  • Partial Differential Equations
  • Steady State
  • Stratified Fluids
  • Thermal Conductivity
  • Three Dimensional

Fields of Study

  • Mathematics

Readers

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