Article ID Journal Published Year Pages File Type
4636119 Applied Mathematics and Computation 2006 8 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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