Construction of efficient general linear methods for stiff Volterra integral equations

A. Abdi ^[1] ; S. Fazeli ^[1] ; G. Hojjati ^[1]
1. [1] University of Tabriz
  
  University of Tabriz
  
  Irán
Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 292, Nº 1 (15 January 2016), 2016, págs. 417-429
Idioma: inglés
DOI: 10.1016/j.cam.2015.07.028
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Resumen
- General linear methods in the Nordsieck form have been introduced for the numerical solution of Volterra integral equations. In this paper, we introduce general linear methods of order pp and stage order q=p for the numerical solution of Volterra integral equations in general form, rather than Nordsieck form. A- and V0(α)-stable methods are constructed and applied on stiff problems to show their efficiency.