TY - JOUR
ID - 19832
TI - Multistep collocation method for nonlinear delay integral equations
JO - Sahand Communications in Mathematical Analysis
JA - SCMA
LA - en
SN - 2322-5807
AU - Darania, Parviz
AD - Department of Mathematics, Faculty of Science, Urmia University, P.O.Box 5756151818, Urmia-Iran.
Y1 - 2016
PY - 2016
VL - 03
IS - 2
SP - 47
EP - 65
KW - Delay integral equations
KW - Collocation method
KW - Multistep collocation method
KW - Convergence
DO -
N2 - The main purpose of this paper is to study the numerical solution of nonlinear Volterra integral equations with constant delays, based on the multistep collocation method. These methods for approximating the solution in each subinterval are obtained by fixed number of previous steps and fixed number of collocation points in current and next subintervals. Also, we analyze the convergence of the multistep collocation method when used to approximate smooth solutions of delay integral equations. Finally, numerical results are given showing a marked improvement in comparison with exact solution.
UR - http://scma.maragheh.ac.ir/article_19832.html
L1 - http://scma.maragheh.ac.ir/article_19832_4aa04e21bad2368df51e6e1a4c4fdbda.pdf
ER -