Fredholm - Volterra integral equation in three dimensional problem with Macdonald kernel

• Autorzy: El-Bary A.
• Języki publikacji: EN

Abstrakty

EN

Regular and singular asymptatic method are applied to three dimensional Fredholm-Volterra integral equation of the first kind. In this paper we constract Fredholm-Volterra integri equation in three dimensional contact problem with Macdonald kernel in many cases of contact problem.

Słowa kluczowe

EN

Fredholm-Volterr integral equation; asymptotic method; Macdonald kernel

PL

całkowe równania Fredholma-Volterra; metody asymptotyczne

• Wydawca: Oficyna Wydawnicza Politechniki Rzeszowskiej
• Czasopismo: Zeszyty Naukowe Politechniki Rzeszowskiej. Matematyka
• Rocznik: 2002
• Tom: z. 26 [199]
• Strony: 59--65
• Opis fizyczny: Bibliogr. 16 poz.

Twórcy

autor

El-Bary A.

• Arab Academy for Science and Technology, Aleksandria, Egypt

Bibliografia

• [1] A.A. El-Bary and I.H. El-Sirafy, First and second fundamental problem is S-plane. Le Matematiche Vol. 54, fasc 2 (1999) pp 261-274.
• [2] A.A. El-Bary, Chebshev polynomial solution for Voterra- Fredholm integro-differential equation with cauchy kernel, Int. J. Appl. Math. Vol.2, No.12 (2000) pp 1399-1406.
• [3] A.A. El-Bary and I.S.Ismail, Solution of first and second fundamental problems of an elastic infinite plate, Int. J. Appl-Math Vol. 4, No. 3 (2000) pp 247-260.
• [4] A.C. Kaya and F. Erdogan, On the solution of integraf equations with a generalized Cauchy kernel, Quart. Appl. Math. Vol. XLV, No.3, October (1987) PP. 455-469.
• [5] A. S. Sabbah, M.A. Abdou and A.A. El-Bary, Integral equation of the three dimensional contact problem in a half - space, Far East J. Appl. Math vol. 1 No.2 (1997) pp. 169-175.
• [6] E.K. Atkins, A survey of numerical method for the solution of Fredholm integraf equation of the second kind, Philadelphia (1976).
• [7] H. Brunner, On the Numerical Solution of nonlinear -Volterra¬ Fredholm integral equations by collection method. SIAM Vol. 27 ro. 4 (1990) pp. 987-1000.
• [8] I.S. Gradshtien and I.M. Ryzhik, Tables of imegrals sum series and products, Fizmatgi (1962)
• [9] L. Hocia, On approximate solution for the integral equation of mixed type, ZAMM, Vol 76 (1996) pp 415-417.
• [10] L.M. Delves and J.L. Mohamed, Computational methods ofintegral equations, N.Y. (1985).
• [11] M.A. Abdou, Fredholm integraf equation of the second kind with potential kernel, J. Comp. Appl. Math., No. 72 (1996) pp. 161-167.
• [12] M .A. Abdou, Integral equation of the second kind with potential kernel and its structure resolvent. J. Appl. Math. Comp. Vol. 107 (2000) pp. 169-180.
• [13] M.A. Abdou and A.A. El Bary, Fred holm -Volttera integraf equation with potential kernel, Accepted in Int. J. Math& Math. Sci (2000)
• [14] M.A. Abdou, Fredholm-Volterra integraf equation and generalized potential kernel, Accepted. J. Appl. Math. Comp. (2001).
• [15] M.A. Abdou, Integral equation of mixed type and integrals of orthogonal polynomials, Accepted J. Comp. Appl. Math. (2001).
• [16] S.E. EL-Gendi, Chebyshev solution of differentia! equations and integro differential equations, Comp. J., No. 12 (1969) pp. 282-287.