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Numerical Heat Transfer, Part A: Applications
An International Journal of Computation and Methodology
Volume 22, 1992 - Issue 3
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Original Articles

APPLICATIONS OF AN EXPONENTIAL FINITE-DIFFERENCE TECHNIQUE

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Pages 363-378 | Received 01 Oct 1991, Accepted 18 Dec 1991, Published online: 27 Apr 2007
 

ABSTRACT

In this paper an expontial finite-difference scheme, first presented by Bhattacharya for one-dimensional, unsteady heat conduction problems in a plane wail, is used to solve various partial differential equations. Solutions of the unsteady diffusion equation in three dimensions and of the viscous form of Burgers’ equation ere used to illustrate the method. Predicted results are compared with exact solutions or with results obtained by other numerical methods.

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