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Digitale Medien

Fourth-order difference method for quasilinear Poisson equation in cylindrical symmetry (1994)

Jain, M. K. ; Jain, R. K. ; Krishna, Meera

Chichester : Wiley-Blackwell

Communications in Numerical Methods in Engineering 10 (1994), S. 291-296

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Details

ISSN: 1069-8299

Schlagwort(e): Engineering ; Engineering General

Quelle: Wiley InterScience Backfile Collection 1832-2000

Thema: Mathematik , Technik allgemein

Notizen: We propose in this paper a nine-point, fourth-order difference method for the numerical solution of the quasilinear Poisson equation \documentclass{article}\pagestyle{empty}\begin{document}$$ Au_{zz} + \frac{1}{r}u_r + Bu_{rr} = f\left({r,z,u,u_r,u_z} \right) $$\end{document} with appropriate boundary conditions. The method is based on five evaluations of f. The numerical results of four problems obtained using this method are listed. The results demonstrate the fourth-order accuracy of the method.

Zusätzliches Material: 4 Tab.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1002/cnm.1640100403

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