Uniform-graded mesh block method for second kind Volterra integral equations

• Autorzy: Attia G. M.
• Konferencja: International Conference on Numerical Mathematics and Computational Mechanics (7 ; July 1996 ; Miskolc ; Węgry)
• Języki publikacji: EN

Abstrakty

EN

In this paper a block method is developed to use uniform-graded meash for the solution of Volterra integral equations of the second kind. This method permits the use of a variable step size when solving Volterra integral equtions. Means of reducing the error. Extensive results are presented.

Słowa kluczowe

EN

integral equation; Volterr

PL

równanie całkowe

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Computer Assisted Mechanics and Engineering Sciences
• Rocznik: 1998
• Tom: Vol. 5, nr 1
• Strony: 3--8
• Opis fizyczny: Bibliogr. 10 poz., tab., wykr.

Twórcy

autor

Attia G. M.

• Physical Science Department, Mansoura University, Mansoura, Egypt

Bibliografia

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• [3] P.J. Davis, R. Rabinovitz. Methods of Numerical Integration. Academic Press, 1984.
• [4] L.M. Delves, J.L. Mohamed. Computational Methods for Integral Equations. Cambridge University Press, first published 1985.
• [5] H.M. Jones, $. Mckee. Variable step size predictor—corrector scheme for second kind Volterra integral equations. Mathematics of Computation, 44(170), 391-404, April 1985.
• [6] P. Linz. The numerical solution of Volterra integral equations by finite difference methods. M.R.C. Tech Rep., 825, 1968
• [7] Miline. Numerical solution of differential equations. Wiley, 1953.
• [3] F. Smithies. Integral Equations. Cambridge Tracts in Mathematics and Mathematical Physics, No. 49. Cambridge University Press, W. E. New York, 1958.
• [9] F.G. Tricomi. Integral Equations. Interscience, New York, 1957.
• [10] A. Young. The application of product integration to the numerical solution of integral equations. Proc. R. Soc. A., 224: 561-573, 1954.