A spline collocation method for linear volterra integro-differential equations with weakly singular kernels

BIT Numerical Mathematics

Volumn 41, Issue 5, 2001, Pages 891-900

  Brunner, H ^a  

^a MEMORIAL UNIVERSITY OF NEWFOUNDLAND   (Canada)

Author keywords

Attainable order of convergence; Graded grid; Piecewise polynomial collocation method; Volterra integro differential equation; Weakly singular kernel

Indexed keywords

EID: 14944377646     PISSN: 00063835     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1021920724315     Document Type: Article

References (3)

1. K. E. Atkinson, The Numerical Solution of Integral Equations of the Second Kind, Cambridge Monographs on Applied and Computational Mathematics, Vol. 4, Cambridge University Press, Cambridge, 1997.
2. H. Brunner, On the numerical solution of nonlinear Volterra integrodifferential equations, BIT, 13 (1973), pp. 381-390.
3. H. Brunner, The application of the variation of constants formulas in the numerical analysis of integral and integro-differential equations, Utilitas Math., 19 (1981), pp. 255-290.