Difference Approximations at Internal Physical Boundaries

Farhad Ali ()
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Farhad Ali: Dr. A. Q. Khan Research Laboratories, P. O. Box 502, Rawalpindi, Pakistan

International Journal of Modern Physics C (IJMPC), 1997, vol. 08, issue 06, 1267-1285

Abstract: Two sample difference approximations at internal physical boundaries, in magnetic field calculations, are analyzed in the light of truncation and discretization error expansions. Existence of asymptotic expansions for discretization error and their use in error estimation is studied in the light of approximations of the resulting variational equations. Two test problems are presented to illustrate validity of the error analysis. Better difference approximations are shown to lead to better approximation of the associated variational equations.

Keywords: Internal Boundaries; Magnetostatic Potential; Difference Approximation; Truncation and Discretization Errors; Asymptotic Expansions (search for similar items in EconPapers)
Date: 1997
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DOI: 10.1142/S0129183197001132

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