Multistep collocation methods for weakly singular Volterra integral equations with application to fractional differential equations
We discuss the application of multistep collocation methods to Volterra integral equations which contain a weakly singular kernel $(t-\tau)^{\alpha-1}$ with $0
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| creator | Susahab, D. Nazari Shahmorad, S |
| description | We discuss the application of multistep collocation methods to Volterra
integral equations which contain a weakly singular kernel $(t-\tau)^{\alpha-1}$
with $0 |
| doi_str_mv | 10.48550/arxiv.1408.4029 |
| format | Article |
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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.</description><identifier>DOI: 10.48550/arxiv.1408.4029</identifier><language>eng</language><subject>Mathematics - Numerical Analysis</subject><creationdate>2014-08</creationdate><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,780,885</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/1408.4029$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.1408.4029$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Susahab, D. Nazari</creatorcontrib><creatorcontrib>Shahmorad, S</creatorcontrib><title>Multistep collocation methods for weakly singular Volterra integral equations with application to fractional differential equations</title><description>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
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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.</abstract><doi>10.48550/arxiv.1408.4029</doi><oa>free_for_read</oa></addata></record> |
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| source | arXiv.org |
| subjects | Mathematics - Numerical Analysis |
| title | Multistep collocation methods for weakly singular Volterra integral equations with application to fractional differential equations |
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