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Modification of block pulse functions and their application to solve numerically Volterra integral equation of the first kind. (English) Zbl 1221.65338

Summary: A modification of block pulse functions is introduced and used to solve Volterra integral equation of the first kind. Some theorems are included to show convergence and advantage of the method. Some examples show accuracy of the method.

MSC:

65R20 Numerical methods for integral equations
45D05 Volterra integral equations
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References:

[1] K.G. Steffens, The History of Approximation Theory: From Euler to Brenstein, Birkhauser pub., Boston 2006 ISBN 0817643532.; K.G. Steffens, The History of Approximation Theory: From Euler to Brenstein, Birkhauser pub., Boston 2006 ISBN 0817643532.
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