International Journal of Mathematics and Mathematical Sciences
Volume 20 (1997), Issue 3, Pages 577-584
doi:10.1155/S0161171297000781
One-dimensional adaptive grid generation
Ahmed M.M. Khodier
and Adel Y. Hassan
Department of Mathematics, Faculty of Education, Ain Shams University, Roxy, Cairo, Egypt
Abstract
In this work, we give an adaptive grid generation method which allows a single point to be added in the regions of large variation. This method uses a quadrature rule as a weight function. Our weight function measures the variation of the solution function on each subinterval of the solution domain. The method is applied to obtain the numerical solutions of some differential equations. A comparison of the numerical solution obtained by this method and other methods is given.