TY - JOUR
T1 - A Sinc-collocation Method for Second-order Boundary Value Problems of Nonlinear Integro-differential Equation
AU - S. Yeganeh, Y. Ordokhani and A. Saadatmandi
JO - Journal of Information and Computing Science
VL - 2
SP - 151
EP - 160
PY - 2024
DA - 2024/01
SN - 7
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jics/22656.html
KW -  Sinc  function,  Collocation  method,  Boundary  value  problems,  Second-order, 
Nonlinear integro-differential equation. 

AB - 1Department of Mathematics, Alzahra University, Tehran, Iran 
2Department of Applied Mathematics, Faculty of Mathematical Sciences, 
University of Kashan, Kashan 87317-51167, Iran 
(Received November07, 2011, accepted March 1, 2012) 
 The  sinc-collocation  method  is  presented  for  solving  second-order  boundary 
value  problems  of  nonlinear  integro-differential  equation.  The  method  is  effective  for 
approximation in the case of the presenceof end-point singularities. Some properties of the 
sinc-collocation  method  required  for  our  subsequent  development  are  given  and  are 
utilized  to  reduce  the  computation  of  solution  of  the  second-order  boundary  value 
problems  of  nonlinear  integro-differential  equation  to  some  algebraic  equations.  Some 
numerical  results  are  also  given  to  demonstrate  the  validity  and  applicability  of  the 
presented technique.