TY - JOUR
ID - 9948
TI - Quintic Spline functions and Fredholm integral equation
JO - Computational Methods for Differential Equations
JA - CMDE
LA - en
SN - 2345-3982
AU - Maleknejad, Khosrow
AU - Rashidinia, Jalil
AU - Jalilian, Hamed
AD - School of Mathematics, Iran University of Science and Technology Narmak, Tehran 16844, Iran.
Y1 - 2021
PY - 2021
VL - 9
IS - 1
SP - 211
EP - 224
KW - Fredholm integral equation
KW - quintic spline function (QSF)
DO - 10.22034/cmde.2019.31983.1492
N2 - A new six order method developed for the approximation Fredholm integral equation of the second kind. This method is based on the quintic spline functions (QSF). In our approach, we first formulate the Quintic polynomial spline then the solution of integral equation approximated by this spline. But we need to develop the end conditions which can be associated with the quntic spline. To avoid the reduction accuracy, we formulate the end condition in such a way to obtain the band matrix and also to obtain the same order of accuracy. The convergence of the method is discussed by using matrix algebra. Finally, four test problems have been used for numerical illustration to demonstrate the practical ability of the new method.
UR - https://cmde.tabrizu.ac.ir/article_9948.html
L1 - https://cmde.tabrizu.ac.ir/article_9948_d01f26099943ca195f6b0f7a0a05fbbd.pdf
ER -