RT - Journal Article
T1 - A Modified Degenerate Kernel Method for the System of Fredholm Integral Equations of the Second Kind
JF - IJMSI
YR - 2019
JO - IJMSI
VO - 14
IS - 1
UR - http://ijmsi.ir/article-1-882-en.html
SP - 43
EP - 53
K1 - A system of Fredholm integral equations of the second kind
K1 - Degenerate kernel method
K1 - A modified degenerate kernel method
K1 - Lagrange interpolation method
K1 - Lagrange-collocation method.
AB - In this paper, the system of Fredholm integral equations of the second kind is investigated by using a modified degenerate kernel method (MDKM). To construct a MDKM the source function is approximated by the same way of producing degenerate kernel. The interpolation is used to make the needed approximations. Lagrange polynomials are adopted for the interpolation. The equivalency of proposed method and Lagrange-collocation method is shown. The error and convergence of the algorithm are given strictly. The efficiency of the approach will be shown by applying the procedure on some prototype examples.
LA eng
UL http://ijmsi.ir/article-1-882-en.html
M3
ER -