Accession Number : ADA183901

Title :   An Exponential Finite Difference Technique for Solving Partial Differential Equations.

Descriptive Note : Master's thesis,

Corporate Author : GAERTNER (W W) RESEARCH INC NORWALK CT

Personal Author(s) : Handschuh,Robert F

PDF Url : ADA183901

Report Date : Jun 1987

Pagination or Media Count : 120

Abstract : An exponential finite difference algorithm, as first presented by Bhattacharya for one-dimensional unsteady state, heat conduction in Cartesian coordinates, has been extended. The finite difference algorithm developed was used to solve the diffusion equation in one-dimensional cylindrical coordinates and applied to two- and three-dimensional problems in Cartesian coordinates. The method was also used to solve nonlinear partial differential equations in one (Burger's equation) and two (Boundary Layer equations) dimensional Cartesian coordinates. Predicted results were compared to exact solutions where available, or to results obtained by other numerical methods. It was found that the exponential finite difference method produced results that were more accurate than those obtained by other numerical methods, especially during the initial transient portion of the solution. Other applications made using the exponential finite difference technique included unsteady one-dimensional heat transfer with temperature varying thermal conductivity and the development of the temperature field in a laminar Couette flow. (Author)

Descriptors :   ALGORITHMS, *FINITE DIFFERENCE THEORY, *HEAT TRANSFER, *APPLIED MATHEMATICS, *COMPUTER PROGRAM DOCUMENTATION, SUBROUTINES, BOUNDARY LAYER, CARTESIAN COORDINATES, COUETTE FLOW, DIFFUSION, LAMINAR FLOW, NONLINEAR DIFFERENTIAL EQUATIONS, NUMERICAL METHODS AND PROCEDURES, ONE DIMENSIONAL, PARTIAL DIFFERENTIAL EQUATIONS, PROBLEM SOLVING, SIZES(DIMENSIONS), TEMPERATURE, THERMAL CONDUCTIVITY, THREE DIMENSIONAL

Subject Categories : Theoretical Mathematics
      Thermodynamics
      Computer Programming and Software

Distribution Statement : APPROVED FOR PUBLIC RELEASE