Solution of electrical engineering problems by Southwell's relaxation method

journal article
Published by Institute of Electrical and Electronics Engineers (IEEE) in Transactions of the American Institute of Electrical Engineers, Part I: Communication and Electronics

Vol. 71 (3), 205-214
https://doi.org/10.1109/tce.1952.6371911

Abstract

The solution of simultaneous linear algebraic equations by the basic relaxation method is described in detail and the use of short-cut methods is explained and demonstrated. It then is shown that the same technique can be applied to the solution of ordinary and partial differential equations, and its accuracy is discussed. Several problems taken from various branches of electrical engineering are solved to illustrate the application of the method.

Keywords

EQUATIONS
DIFFERENTIAL EQUATIONS
RELAXATION METHODS
FINITE DIFFERENCE METHODS
APPROXIMATION METHODS
ELECTRICAL ENGINEERING
ACCURACY

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