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Application of the method of lines to the Laplace equation
Author(s) -
Ma J. G.,
Chen Z.
Publication year - 1997
Publication title -
microwave and optical technology letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.304
H-Index - 76
eISSN - 1098-2760
pISSN - 0895-2477
DOI - 10.1002/(sici)1098-2760(19970420)14:6<330::aid-mop7>3.0.co;2-j
Subject(s) - computation , laplace's equation , laplace operator , mathematical analysis , laplace transform , boundary value problem , numerical analysis , flexibility (engineering) , microwave , mathematics , physics , algorithm , statistics , quantum mechanics
In this article the method of lines (MoL) is adapted to the cylindrical coordinates in order to solve the Laplacian equation with arbitrary boundary profiles. The method solves the equation numerically in the angular direction and analytically in the radial direction. As a result, a semianalytic solution is obtained, and the computation efficiency is improved in comparison with the full‐scale numerical methods. Numerical experiments demonstrate the validity and flexibility of the method. © 1997 John Wiley & Sons, Inc. Microwave Opt Technol Lett 14: 330–333, 1997.