Abstract
In this paper, we introduce a new family of extended multistep collocation methods for solving two types of nonlinear Volterra integro-differential equations including nonstiff and stiff problems. These methods are constructed by using super-future points technique with the aim of increasing the order and the stability region of the classical one-step collocation methods and multistep collocation methods without increasing the computational cost. We analyze the convergence order of the constructed methods and their linear stability properties. Numerical experiments confirm the theoretical expectations.
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.
