arXiv:1408.4029 Abstract | arXiv Analytics

arXiv:1408.4029 [math.NA]Abstract References Reviews Resources

Multistep collocation methods for weakly singular Volterra integral equations with application to fractional differential equations

Published 2014-08-18, updated 2014-08-22Version 2

We discuss the application of multistep collocation methods to Volterra integral equations which contain a weakly singular kernel $(t-\tau)^{\alpha-1}$ with $0 <\alpha <1.$ Convergence orders of the methods are determined and their superconvergence is also analyzed. The paper closes with numerical examples and application to fractional differential equations.

Comments: 15 pages, 2 figures

Categories: math.NA

Subjects: 65R20, 65L60, 34A08

Keywords: weakly singular volterra integral equations, fractional differential equations, multistep collocation methods, application

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