Numerical solution of Laplace equation in a disk using the adomian decomposition method

Physica Scripta

Volumn 72, Issue 5, 2005, Pages 345-348

  Talari, Mehdi ^a   Dehghan, Mehdi ^a  

^a AMIRKABIR UNIVERSITY OF TECHNOLOGY   (Iran)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; INTEGRAL EQUATIONS; NONLINEAR EQUATIONS;

ADOMIAN DECOMPOSITION; LAPLACE EQUATIONS;

PROBLEM SOLVING;

EID: 27944476819     PISSN: 00318949     EISSN: None     Source Type: Journal    
DOI: 10.1238/physica.regular.072a00345     Document Type: Article

References (29)

1. Adomian, G., "Solving frontier problems of physics: The decomposition method", (Kluwer, Boston, M.A, 1994).
2. Adomian, G., J. Math. Anal. Appl. 135, 501 (1988).
3. Al-Khaled, K., Kaya, D. and Moor, M., Appl. Math. Compul. 157, 735 (2004).
4. Atkinson, K. E., "The Numerical Solution of Integral Equation of the Second Kind", (Cambridge University Press, Cambridge, UK, 1997).
5. Babolian, E. and Sadeghi, H., Int. J. Comput. Numer. Anal. Appl. 3, 359 (2003).
6. Cherruault, Y., Math. Compul. Model. 14, 83 (1990).
7. Ciarlet, P. G., "Finite Element Method forEliptic Problem", (North-Holland. Amsterdam. 1978).
8. Dehghan, M., Appl. Math. Comput. 157, 549 (2004).
9. Dehghan, M., Int. J. Computer Math. 81, 25 (2004).
10. Elsgolts, L., "Differential equations and the calculus of variations", translated from the russian by G. Yankovsky, (Mir Publisher Moscow, 1977).
11. El-Shahed, M., J. Fract. Calc. 24, 23 (2003).
12. Forsythe, G. E. and Wasow, W. R., "Finite Difference Methods for Partial Differential Equations", (Wiley, New York, 1960).
13. Hackbusch, W., "Elliptic Differential Equations", (Springer-Verlag, Berlin Heidelberg, 1992).
14. Ismail, H., Raslan, K. and Salem, G., Appl. Math. Comput. 154, 17 (2004).
15. Kaya, D., Commun. Nonlinear Sci. Numerical Simulation 10, 693 (2005).
16. Lesnic, D., Commun. Nonlinear Sci. Numerical Simulation 10, 581 (2005).
17. Lesnic, D., Appl. Math. Lett. 15, 697 (2002).
18. Lesnic, D. and Elliott, L., J. Math. Anal. Appl. 232, 82 (1999).
19. Mavoungou, T. and Cherruault, Y. Math. Comput. Modelling 19, 89 (1994).
20. Ngarhasta, N., Some, B., Abbaoui, K. and Cherruault, Y. Kybemeles 31, 61 (2002).
21. Smyrlis, Y. S. and Karageorghis, A., J. Sci. Computing 16, 341 (2001).
22. Wazwaz, A., Appl. Math. Comput. 102, 77 (1999).
23. Wazwaz, A., Chaos Solitons Fractals 12, 2283 (2001).
24. Wazwaz, A. and Gorguis, A., Appl. Math. Comput. 154, 609 (2004).
25. Wazwaz, A., Appl. Math. Comput. 146, 81 (2003).
26. Wazwaz, A., Appl. Math. Comput. 81, 265 (1997).
27. Wazwaz, A. and Khuri, S., Appl. Math. Comput. 80, 287 (1996).
28. Wu, B. and Lou, S., Commun. Theor. Phys. 38, 649 (2002).
29. Yee, E., Appl. Math. Comput. 56, 1 (1993).