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Collocation and iterated collocation methods for a class of weakly singular Volterra integral equations. (English) Zbl 1168.65073

The author investigates the convergence properties of spline collocation and iterated collocation methods for a weakly singular Volterra integral equation associated with certain heat conduction problems based on general polynomial spline functions by using the Gauss points as collocation points.

MSC:

65R20 Numerical methods for integral equations
45E10 Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type)
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