|
|
 |
| |
|
|
|
A Fitted Numerov Method for Singular Perturbation Problems Exhibiting Twin Layers |
|
|
|
PP: 341-352 |
|
|
|
Author(s) |
|
|
|
K. Phaneendra,
P. Pramod Chakravarthy,
Y. N. Reddy,
|
|
|
|
Abstract |
|
|
| In this paper a fitted fourth-order finite difference scheme is presented for solving singularly
perturbed two-point boundary value problems with the boundary layer at both
end (left and right) points. We have introduced a fitting factor in Numerov fourth-order
tridiagonal finite difference scheme and is obtained from the theory of singular perturbations.
Thomas algorithm is used to solve the tridiagonal system. Several numerical
examples are solved and compared with exact solution. It is observed that the present
method approximates the exact solution very well. |
|
|
|
|
|
|
|
