Abstract
In the first part of this paper we present a survey of recent results on the attainable order of (super-) convergence of collocation solutions for systems of Volterra functional integro-differential equations with weakly singular kernels kα and variable delay functions θ (t) = t - τ (t). Related functional equations and theoretical and computational aspects of collocation methods for their solution are also described. The paper concludes with comments on ongoing and possible future work.
Original language | English |
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Pages (from-to) | 533-548 |
Number of pages | 16 |
Journal | Applied Numerical Mathematics |
Volume | 57 |
Issue number | 5-7 SPEC. ISS. |
DOIs | |
Publication status | Published - May 2007 |
Scopus Subject Areas
- Numerical Analysis
- Computational Mathematics
- Applied Mathematics
User-Defined Keywords
- Collocation methods
- Neutral equations
- Optimal order of convergence
- Variable delays
- Volterra functional integro-differential equations
- Weakly singular kernels