Uniform-graded mesh block method for second kind Volterra integral equations
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.
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.
[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
2023-06-07
Issue
pp. 3-8
Section
Articles
License
Copyright © The Author(s).
This work is licensed under the Creative Commons Attribution 4.0 International CC BY 4.0.
How to Cite
Attia, G. M. (2023). Uniform-graded mesh block method for second kind Volterra integral equations. Computer Assisted Methods in Engineering and Science, 5(1), 3-8. https://cames3.ippt.pan.pl/index.php/cames/article/view/1360
