TY - JOUR
ID - 3618
TI - An efficient numerical approach for solving systems of high-order linear Volterra integral equations
JO - Scientia Iranica
JA - SCI
LA - en
SN - 1026-3098
AU - Mirzaee, Farshid
AU - Bimesl, Saeed
AD - Department of Mathematics, Faculty of Science, Malayer University, Malayer, Iran
Y1 - 2014
PY - 2014
VL - 21
IS - 6
SP - 2250
EP - 2263
KW - System of Volterra integral equations
KW - The Bernoulli functions of first kind
KW - Collocation method
DO -
N2 - In this study, a collocation method based on the Bernoulli polynomials is presented to find approximate solutions of a system of high-order linear Volterra integral equations (VIEs) with variable coefficients. In fact, the approximate solution of the problem in the truncated Bernoulli series form is obtained by this method. In addition, the method is presented with error and stability analysis. To show the accuracy and the efficiency of the method, numerical examples are implemented and the comparisons are given by the other methods.
UR - http://scientiairanica.sharif.edu/article_3618.html
L1 - http://scientiairanica.sharif.edu/article_3618_de12e5b4c9e8106f9c008891290bc537.pdf
ER -