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A generalized numerical approximation for the two‐dimensional Laplacian operator
Author(s) -
Okon E. E.
Publication year - 1981
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620171111
Subject(s) - laplace operator , mathematics , operator (biology) , p laplacian , mathematical analysis , boundary value problem , biochemistry , chemistry , repressor , gene , transcription factor
A numerical approximation for the two‐dimensional Laplacian operator at a point is derived for the general case in which the point is surrounded by an arbitrary number of arbitrarily located coplanar nodes. The expression obtained is shown to generalize the usual Cartesian finite difference expression.