Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4636119 | Applied Mathematics and Computation | 2006 | 8 Pages |
Abstract
A sixth-order uniform mesh difference scheme using sextic splines for solving a self-adjoint singularly perturbed two-point boundary-value problem arising in the study of chemical reactor theory, of the form-εu″+p(x)u=f(x),p(x)>0,u(0)=αo,u(1)=α1is derived. Our scheme leads to a pentadiagonal linear system. The convergence analysis is given and the method is shown to have fifth-order convergence. Numerical illustrations are given to confirm the theoretical analysis of our method.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Arshad Khan, Islam Khan, Tariq Aziz,