
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 onedimensional unsteady state, heat conduction in Cartesian coordinates, has been extended. The finite difference algorithm developed was used to solve the diffusion equation in onedimensional cylindrical coordinates and applied to two and threedimensional 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 onedimensional 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