Geodesic
Numerical approach for solving neutral differential equation with deviating argument
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 55 (2015) no. 6

Voir la notice de l'article provenant de la source Math-Net.Ru

In this article, numerical solution of a neutral differential equation with deviating argument by means of the Sinc scheme and fixed point theorem is considered. Properties of the DE-Sinc and SE-Sinc quadratures are utilized to reduce the computation of the neutral differential equations to an iterative technique. Then convergence of this technique is discussed by preparing a theorem. To guarantee the analytical results and show the efficiency and accuracy of the present method, some examples are presented. 
@article{ZVMMF_2015_55_6_a6,
     author = {H. Mesgarani and R. Mollapourasl and A. Ostadi},
     title = {Numerical approach for solving neutral differential equation with deviating argument},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {985},
     publisher = {mathdoc},
     volume = {55},
     number = {6},
     year = {2015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2015_55_6_a6/}
}
TY  - JOUR
AU  - H. Mesgarani
AU  - R. Mollapourasl
AU  - A. Ostadi
TI  - Numerical approach for solving neutral differential equation with deviating argument
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2015
SP  - 985
VL  - 55
IS  - 6
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2015_55_6_a6/
LA  - en
ID  - ZVMMF_2015_55_6_a6
ER  - 
%0 Journal Article
%A H. Mesgarani
%A R. Mollapourasl
%A A. Ostadi
%T Numerical approach for solving neutral differential equation with deviating argument
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2015
%P 985
%V 55
%N 6
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ZVMMF_2015_55_6_a6/
%G en
%F ZVMMF_2015_55_6_a6
H. Mesgarani; R. Mollapourasl; A. Ostadi. Numerical approach for solving neutral differential equation with deviating argument. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 55 (2015) no. 6. http://geodesic.mathdoc.fr/item/ZVMMF_2015_55_6_a6/