Numerical solution of a singular integro-differential equation

ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik

Volumn 79, Issue 4, 1999, Pages 233-241

  Chakrabarti, A ^a   Hamsapriye, ^a  

^a INDIAN INSTITUTE OF SCIENCE   (India)

Author keywords

Cauchy principal value; Cauchy singular integro differential equation; Chebyshev polynomials; Interpolatory projection maps

Indexed keywords

EID: 33748033730     PISSN: 00442267     EISSN: 15214001     Source Type: Journal    
DOI: 10.1002/(SICI)1521-4001(199904)79:4<233::AID-ZAMM233>3.0.CO;2-6     Document Type: Article

References (19)

1. BAKER, C. T. H.: The numerical treatment of integral equations. Clarendon Press, Oxford 1977.
2. CHAKRABARTI, A.; WILLIAMS, W. E.: J. Inst. Math. Appl. 22 (1978), 211-214.
3. CHAKRABARTI, A.; GEORGE, A. J.: Appl. Math. Letters 7 (1994) 5, 43-47.
4. CHAKRABARTI, A.: Internat. J. Math. Educ. Sci. Technol. 26 (1995) 5, 737-742.
5. DELVES, L. M.; MOHAMMAD, J. L.: Computational methods for integral equations. Cambridge University Press, Cambridge 1988.
6. ELGENDI, S. E.: Comput. J. 12 (1969), 282-287.
7. FRANKEL, J. I.: Quart. Appl. Math. 53 (1995) 2, 245-258.
8. GAKHOV, F. D.: Boundary value problems. Pergamon Press, London 1966.
9. LEWIN, L.: Theory of wave guides. Butterworths, London 1975.
10. MUSKHELISHVILI, N. I.: Singular integral equations. Pergamon Press, London 1946.
11. SNYDER, M. A.: Chebyshev methods in numerical approximation. Prentice Hall, Inc., Englewood Cliffs 1966.
12. GOLBERG, M. A.: J. Integral Equations 9 (1985), 267-275.
13. CESS, R. D.; TIWARI, S. N.: Appl. Sci. Res. 20 (1969), 25-39.
14. SNEDDON, I. N.: Mixed boundary value problems in potential theory. North Holland 1966.
15. MARTIN, P. A.; RIZZO, F. J.: Proc. Roy. Soc. 421 (A) (1989), 341-355.
16. MARTIN, P. A.; RIZZO, F. J.: Internat. J. Numer. Meth. Engin. 39 (1966), 687-704.
17. MARTIN, P. A.: Proc. Roy. Soc. 432 (A) (1991), 301-320.
18. ATKINSON, K. E.: The numerical solution of integral equations of the second kind. Cambridge University Press, Cambridge 1997.
19. WOLFERSDORF, L. VON: ZAMM 63 (1983), 249-259.