TY - JOUR
ID - 213
TI - Solving integral equations of the third kind in the reproducing kernel space
JO - Bulletin of the Iranian Mathematical Society
JA - BIMS
LA - en
SN - 1017-060X
AU - Geng, Fazhan
AD - Department of Mathematics, changshu Institute of Technology, Changshu, China.
Y1 - 2012
PY - 2012
VL - 38
IS - 3
SP - 543
EP - 551
KW - Analytical solution
KW - integral equations of the third kind
KW - reproducing kernel
DO -
N2 - A reproducing kernel Hilbert space restricts the space of functions to smooth functions and has structure for function approximation and some aspects in learning theory. In this paper, the solution of an integral equation of the third kind is constructed analytically using a new method. The analytical solution is represented in the form of series in the reproducing kernel space. Some numerical examples are studied to demonstrate the accuracy of the present method. Results obtained by the method are compared with the exact solution of each example and are found to be in good agreement with each other.
UR - http://bims.iranjournals.ir/article_213.html
L1 - http://bims.iranjournals.ir/article_213_31be77a7aad4602e56a94864ad5882f2.pdf
ER -