Collocation Methods for Pantograph-type Volterra Functional Equations with Multiple Delays
نویسنده
چکیده
We analyze the optimal superconvergence properties of piecewise polynomial collocation solutions on uniform meshes for Volterra integral and integrodifferential equations with multiple (vanishing) proportional delays θj(t) = qjt (0 < q1 < · · · < qr < 1). It is shown that for delay integro-differential equations the recently obtained optimal order is also attainable. For integral equations with multiple vanishing delays this is no longer true. 2000 Mathematics Subject Classification: 65R20, 34K06, 34K28.
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