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

  • Gamal M. Attia Mansoura University

Abstract

In this paper a block method is developed to use on uniform-graded mesh 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 equations. Means of reducing the error. Extensive results are presented.

Keywords

References

[1] G.M. Attia, A.B. Nersessian. Numerical solution of Volterra integral equations with singular kernels. Second Int. Conf. on Engineering Mathematics and Physics (ICEMP- 1994), Vol. 3: 249- 258. Cairo University, Faculty of Engineering, 1994.
[2] C.T.H. Baker. The Numerical Treatment of Integral Equations. Oxford University Press, 1977.
[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, S. Mckee. Variable step size predictor-corrector scheme for second kind Volterra integral equations. Mathematics of Computation, 44(170), 391-404, April 1985.
Published
Jun 7, 2023
How to Cite
ATTIA, Gamal M.. Uniform-graded mesh block method for second kind Volterra integral equations. Computer Assisted Methods in Engineering and Science, [S.l.], v. 5, n. 1, p. 3-8, june 2023. ISSN 2956-5839. Available at: <https://cames.ippt.gov.pl/index.php/cames/article/view/1360>. Date accessed: 23 dec. 2024.
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Issue
Vol 5 No 1 (1998)
Section
Articles
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