%0 Journal Article
%T Effective numerical methods for nonlinear singular two-point boundary value Fredholm integro-differential equations
%J Iranian Journal of Numerical Analysis and Optimization
%I Ferdowsi University of Mashhad
%Z 2423-6977
%A Amiri, S.
%D 2023
%\ 09/01/2023
%V 13
%N 3
%P 444-459
%! Effective numerical methods for nonlinear singular two-point boundary value Fredholm integro-differential equations
%K Nonlinear Fredholm integro-differential equations
%K singular two-point boundary value
%K Numerical Method
%R 10.22067/ijnao.2023.80420.1211
%X We deal with some effective numerical methods for solving a class of nonlinear singular two-point boundary value Fredholm integro-differential equations. Using an appropriate interpolation and a q-order quadrature rule of integration, the original problem will be approximated by the non-linear finite difference equations and so reduced to a nonlinear algebraic system that can be simply implemented. The convergence properties of the proposed method are discussed, and it is proved that its convergence order will be of O(hmin{ 72 ,q− 12 }). Ample numerical results are addressed to con-firm the expected convergence order as well as the accuracy and efficiency of the proposed method.
%U https://ijnao.um.ac.ir/article_43734_9bfdfd543fe8edb908595bc46d58d23d.pdf