NDLI: Boundary Contraction Solution of Laplace's Differential Equation

Content Provider	ACM Digital Library
Author	Milnes, Harold W. Potts, Renfrey B.
Copyright Year	1959
Abstract	A numerical method is introduced for solution of the Dirichlet problem within a circle. The data prescribed on the original boundary is used to compute the solution at mesh points on a concentric circle of slightly smaller radius, thereby defining another boundary value problem over the smaller circle. The solution for the entire region is obtained by successive contractions of the boundary in this way. Appropriate approximating relations are presented and their stability is discussed.
Starting Page	226
Ending Page	235
Page Count	10
File Format	PDF
ISSN	00045411
e-ISSN	1557735X
DOI	10.1145/320964.320980
Journal	Journal of the ACM (JACM)
Volume Number	6
Issue Number	2
Language	English
Publisher	Association for Computing Machinery (ACM)
Publisher Date	1959-04-01
Publisher Place	New York
Access Restriction	One Nation One Subscription (ONOS)
Content Type	Text
Resource Type	Article
Subject	Hardware and Architecture Information Systems Control and Systems Engineering Artificial Intelligence Software

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Boundary Contraction Solution of Laplace's Differential Equation