Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4630333 | Applied Mathematics and Computation | 2011 | 8 Pages |
Abstract
In the present paper, we discuss three point difference method based on nonpolynomial spline basis for the second order ordinary differential equation. Difference schemes are derived for linear and nonlinear case and are used to solve via two parameter alternating group explicit iterative algorithm. The schemes have a fourth and second order of uniform convergence for the choice of the parameters involved in the method. Computational results are presented comparing the two methods in terms of accuracy and execution times. The results indicate the advantage of using parallel implementation of the new method.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Navnit Jha, R.K. Mohanty,