Cubic Spline Approximation for Weakly Singular Integral Models

Autor:	Elena Marchetti, Franca Caliò
Rok vydání:	2013
Předmět:	Class (set theory) Mathematical analysis General Medicine Fredholm integral equation Singular integral Fredholm theory Volterra integral equation Mathematics::Numerical Analysis symbols.namesake Collocation method Convergence (routing) symbols Orthogonal collocation Mathematics
Zdroj:	Applied Mathematics. :1563-1567
ISSN:	2152-7393 2152-7385
DOI:	10.4236/am.2013.411211
Popis:	In this paper we propose a numerical collocation method to approximate the solution of linear integral mixed Volterra Fredholm equations of the second kind, with particular weakly singular kernels. The collocation method is based on the class of quasi-interpolatory splines on locally uniform mesh. These approximating functions are particularly suitable to tackle on problems with weakly regular solutions. We analyse the convergence problems and we present some numerical results and comparisons to confirm the efficiency of the numerical model.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::ef2f43dbde81474ac8243dc9d87ddf50 https://doi.org/10.4236/am.2013.411211 Zobrazit plný text záznamu