Abstract
The exact solution of a given integral equation of the second kind of Volterra type(with regular or weakly singular kernel) is projected into the space of (continuous) piecewise polynomials of degree m ≧ 1 and with prescribed knots by using collocation techniques. It is shown that a number of discrete methods for the numerical solution of such equations based on product integration techniques or on finite-difference methods are particular discrete versions of collocation methods of the above type. The error behaviour of approximate solutions obtained by collocation (including their discretizations) is discussed.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: 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.