Abstract
In this paper, a class of Volterra delay integral equations (VDIEs) with noncompact operators is approximated by collocation methods. The properties of corresponding operators as well as existence, uniqueness and regularity of exact solution are discussed. The existence and uniqueness of collocation solutions are proved under two special graded meshes. Moreover, we present the convergence conditions and convergence order. Finally, some numerical examples are given to verify the validity of the theoretical orders of convergence.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
