Numerical method for the mixed Volterra-Fredholm integral equations using hybrid Legendre functions

Nemati, S., Lima, P., and Ordokhani, Y.. "Numerical method for the mixed Volterra-Fredholm integral equations using hybrid Legendre functions." Application of Mathematics 2015. Prague: Institute of Mathematics CAS, 2015. 184-193. <http://eudml.org/doc/287862>.

@inProceedings{Nemati2015,
abstract = {A new method is proposed for the numerical solution of linear mixed Volterra-Fredholm integral equations in one space variable. The proposed numerical algorithm combines the trapezoidal rule, for the integration in time, with piecewise polynomial approximation, for the space discretization. We extend the method to nonlinear mixed Volterra-Fredholm integral equations. Finally, the method is tested on a number of problems and numerical results are given.},
author = {Nemati, S., Lima, P., Ordokhani, Y.},
booktitle = {Application of Mathematics 2015},
keywords = {mixed Volterra-Fredholm integral equations; hybrid Legendre functions; piecewise polynomial approximation; trapezoidal method},
location = {Prague},
pages = {184-193},
publisher = {Institute of Mathematics CAS},
title = {Numerical method for the mixed Volterra-Fredholm integral equations using hybrid Legendre functions},
url = {http://eudml.org/doc/287862},
year = {2015},
}

TY - CLSWK
AU - Nemati, S.
AU - Lima, P.
AU - Ordokhani, Y.
TI - Numerical method for the mixed Volterra-Fredholm integral equations using hybrid Legendre functions
T2 - Application of Mathematics 2015
PY - 2015
CY - Prague
PB - Institute of Mathematics CAS
SP - 184
EP - 193
AB - A new method is proposed for the numerical solution of linear mixed Volterra-Fredholm integral equations in one space variable. The proposed numerical algorithm combines the trapezoidal rule, for the integration in time, with piecewise polynomial approximation, for the space discretization. We extend the method to nonlinear mixed Volterra-Fredholm integral equations. Finally, the method is tested on a number of problems and numerical results are given.
KW - mixed Volterra-Fredholm integral equations; hybrid Legendre functions; piecewise polynomial approximation; trapezoidal method
UR - http://eudml.org/doc/287862
ER -