TY - JOUR
ID - 20588
TI - Convergence analysis of the sinc collocation method for integro-differential equations system
JO - Sahand Communications in Mathematical Analysis
JA - SCMA
LA - en
SN - 2322-5807
AU - Zarebnia, Mohammad
AD - Department of Mathematics, Faculty of Mathematical Sciences, University of Mohaghegh Ardabili,m, P.O.Box 56199-11367, Ardabil, Iran.
Y1 - 2016
PY - 2016
VL - 04
IS - 1
SP - 29
EP - 42
KW - Fredholm integro-differential
KW - System of equation
KW - Sinc function
KW - Convergence
DO -
N2 - In this paper, a numerical solution for a system of linear Fredholm integro-differential equations by means of the sinc method is considered. This approximation reduces the system of integro-differential equations to an explicit system of algebraic equations. The exponential convergence rate $O(e^{-k sqrt{N}})$ of the method is proved. The analytical results are illustrated with numerical examples that exhibit the exponential convergence rate.
UR - https://scma.maragheh.ac.ir/article_20588.html
L1 - https://scma.maragheh.ac.ir/article_20588_07e309a824a67c1d2a2ed35788e411f9.pdf
ER -