Geodesic
Cubic spline scheme on variable mesh for singularly perturbed periodical boundary value problem
Novi Sad Journal of Mathematics, Tome 50 (2020) no. 1.

Voir la notice de l'article provenant de la source Novi sad journal of mathematics website

In this paper, a numerical method is suggested to solve singularly perturbed periodical boundary value problem for linear second order ordinary differential equation with a small parameter multiplying the first and second derivatives. This method involves a cubic spline scheme along with non-uniform meshes to the above said problem so as to derive the scheme is second order accurate in the maximum norm. The theoretical results are validated through numerical experiments.
Publié le :
DOI : 10.30755/NSJOM.09886
Classification : 65L10, 65L11, 65L60
Keywords: Singular perturbation, Periodical boundary value problem, Variable mesh; Boundary layers, Cubic spline scheme 
@article{10.30755/NSJOM.09886,
     author = {A. Puvaneswari and A. Ramesh Babu and T. Valanarasu},
     title = {Cubic spline scheme on variable mesh 
	for singularly perturbed
periodical boundary value problem},
     journal = {Novi Sad Journal of Mathematics},
     pages = {157 - 172},
     publisher = {mathdoc},
     volume = {50},
     number = {1},
     year = {2020},
     doi = {10.30755/NSJOM.09886},
     url = {http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.09886/}
}
TY  - JOUR
AU  - A. Puvaneswari
AU  - A. Ramesh Babu
AU  - T. Valanarasu
TI  - Cubic spline scheme on variable mesh 
	for singularly perturbed
periodical boundary value problem
JO  - Novi Sad Journal of Mathematics
PY  - 2020
SP  - 157 
EP  -  172
VL  - 50
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.09886/
DO  - 10.30755/NSJOM.09886
ID  - 10.30755/NSJOM.09886
ER  - 
%0 Journal Article
%A A. Puvaneswari
%A A. Ramesh Babu
%A T. Valanarasu
%T Cubic spline scheme on variable mesh 
	for singularly perturbed
periodical boundary value problem
%J Novi Sad Journal of Mathematics
%D 2020
%P 157 - 172
%V 50
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.09886/
%R 10.30755/NSJOM.09886
%F 10.30755/NSJOM.09886
A. Puvaneswari; A. Ramesh Babu; T. Valanarasu. Cubic spline scheme on variable mesh 
	for singularly perturbed
periodical boundary value problem. Novi Sad Journal of Mathematics, Tome 50 (2020) no. 1. doi : 10.30755/NSJOM.09886. http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.09886/

Cité par Sources :