TY - JOUR
ID - 19
TI - A finite difference method for the smooth solution of linear Volterra integral equations
JO - International Journal of Nonlinear Analysis and Applications
JA - IJNAA
LA - en
SN -
AU - Jalalvand, M.
AU - Jazbi, B.
AU - Mokhtarzadeh, M. R.
AD - of Mathematics, Faculty of Mathematical Sciences and Computer , Shahid Chamran University, Ahvaz, Iran.
AD - Department of Mathematics, Iran University of Science and Technology, Narmak, Tehran, Iran.
AD - School of Mathematics, Institute for Research in Fundamental Sciences, P. O. Box: 19395-5746, Tehran, Iran.
Y1 - 2013
PY - 2013
VL - 4
IS - 2
SP - 1
EP - 10
KW - Integral equation
KW - Linear Integral Equation
KW - Weakly Singular Volterra
DO - 10.22075/ijnaa.2013.19
N2 - The present paper proposes a fast numerical method for the linear Volterra integral equations withregular and weakly singular kernels having smooth solutions. This method is based on the approx-imation of the kernel, to simplify the integral operator and then discretization of the simpliedoperator using a forward dierence formula. To analyze and verify the accuracy of the method, weexamine sample and benchmark problems with known exact solutions.
UR - https://ijnaa.semnan.ac.ir/article_19.html
L1 - https://ijnaa.semnan.ac.ir/article_19_712297833a886150248cf0b827098930.pdf
ER -