Open AccessCOLLOCATION APPROXIMATIONS FOR WEAKLY SINGULAR VOLTERRA INTEGRO‐DIFFERENTIAL EQUATIONS
Author(s) -
Inga Parts,
Arvet Pedas
Publication year - 2003
Publication title -
mathematical modelling and analysis/mathematical modeling and analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.491
H-Index - 25
eISSN - 1648-3510
pISSN - 1392-6292
DOI - 10.3846/13926292.2003.9637233
Subject(s) - collocation (remote sensing) , mathematics , piecewise , collocation method , orthogonal collocation , polynomial , convergence (economics) , differential equation , approximations of π , mathematical analysis , volterra integral equation , piecewise linear function , differential (mechanical device) , type (biology) , ordinary differential equation , integral equation , computer science , physics , machine learning , economic growth , economics , ecology , biology , thermodynamics
A piecewise polynomial collocation method for solving linear weakly singular integro‐differential equations of Volterra type is constructed. The attainable order of convergence of collocation approximations on arbitrary and quasi‐uniform grids is studied theoretically and numerically.