Spreadsheet solution for curved boundaries or unbounded space Dirichlet problems

Author

Elghazaly, Hany M A

Author_Institution

Dept. of Electr. Power & Machines, Cairo Univ., Giza, Egypt

fYear

1991

fDate

Sept. 28 1991-Oct. 4 1991

Firstpage

622

Abstract

The spreadsheet solution of the finite difference method has been extended. The difference equation has been modified to accommodate the case of irregular curved boundaries. Three different approximations are presented to cover the interpolation of degrees zero, one, and two. The spreadsheet solution has also been extended to solve the problem of unbounded space. Two methods are proposed to truncate the region. The use of the spreadsheet to calculate the electric field is introduced. Spreadsheet formulae to calculate the electric field components, magnitude, and direction are presented.<>

Keywords

difference equations; electric fields; electrical engineering computing; spreadsheet programs; electric field; finite difference method; irregular curved boundaries; spreadsheet solution; unbounded space Dirichlet problems; Boundary conditions; Difference equations; Electrostatics; Finite difference methods; Interpolation; Laplace equations; Lattices; Poisson equations; Power engineering and energy; Spreadsheet programs;

fLanguage

English

Publisher

ieee

Conference_Titel

Industry Applications Society Annual Meeting, 1991., Conference Record of the 1991 IEEE

Conference_Location

Dearborn, MI, USA

Print_ISBN

0-7803-0453-5

Type

conf

DOI

10.1109/IAS.1991.178235

Filename

178235