Laplace Operator In Irregular Domain | ||
| Journal of University of Anbar for Pure Science | ||
| Article 17, Volume 8, Issue 1, April 2014, Pages 64-68 | ||
| Document Type: Research Paper | ||
| DOI: 10.37652/juaps.2014.122631 | ||
| Author | ||
| Ali A. Mhassin* | ||
| University of Anbar - College of Education For Pure Science | ||
| Abstract | ||
| The aim of this paper is to prove that Laplace operator depending on nine points in irregular domains is of order two in addition, some examples as an applications for this operator are given. | ||
| Keywords | ||
| Laplace operator; five and nine; points finite difference | ||
| References | ||
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[1] Mhassin A. Abeid (1993) Curvilinear Border Approximation For Poisson Equation. Ph. D. thesis , MFF, UK, Slovakia.
[2] David A. and Chocholaty, P.(1983) Numericka Matematika., MFF, UK.
[3] Forsythe G. E. and Wasow, W. R. (1960) Finite Difference Methods For Partial Differential Equations. John Wiley & Sons, Inc.
[4]Gerschgorin, S. (1930) Fehlerabrabschatzung Fur Das Differenzenverfahren Zur Losung Partieller Differetialgleichungen Z.
[5] John, H. Mathews, (1992) Numerical Methods. Prentice Hall.
[6] Milne W. E. (1970) Numerical Solution of Differential Equations, Dover Publications, Inc.
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[9] Young D. M. and Forsythe G. E. (1973) A Survey Of Numerical Mathematics, Vol, I and II, Addison-Wesley.
[10] Mhassin, A. A. (2001).A nine points Formula To approximate Laplace Operator For Irregular Domain. Arab Gulf Journal of scientific Research, 19(2),pp 89-96.
[11]Mhassin A. Abeid "Poisson Equation in Irregular Domain. Faculty of Science Bulletin, Sana'a University, volume 16, Oct. 2003, 1-185, p.49-55. | ||
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