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Superconvergence of collocation methods for a class of weakly singular Volterra integral equations

โœ Scribed by Teresa Diogo; Pedro Lima

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
163 KB
Volume
218
Category
Article
ISSN
0377-0427

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๐Ÿ“œ SIMILAR VOLUMES

Collocation and iterated collocation met
Collocation and iterated collocation methods for a class of weakly singular Volterra integral equations
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We discuss the convergence properties of spline collocation and iterated collocation methods for a weakly singular Volterra integral equation associated with certain heat conduction problems. This work completes the previous studies of numerical methods for this type of equations with noncompact ker

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In this paper a class of weakly singular Volterra integral equations with an infinite set of solutions is investigated. Among the set of solutions only one particular solution is smooth and all others are singular at the origin. The numerical solution of this class of equations has been a difficult

Sinc-collocation methods for weakly sing
Sinc-collocation methods for weakly singular Fredholm integral equations of the second kind
โœ Tomoaki Okayama; Takayasu Matsuo; Masaaki Sugihara ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 566 KB

In this paper we propose new numerical methods for linear Fredholm integral equations of the second kind with weakly singular kernels. The methods are developed by means of the Sinc approximation with smoothing transformations, which is an effective technique against the singularities of the equatio