convergence of product integration method applied for numerical solution of linear weakly singular volterra systems

Authors

b. babayar-razlighi

k. ivaz

m. r. mokhtarzadeh

abstract

we develop and apply the product integration method to a large class of linear weakly singular volterra systems. we show that under certain sufficient conditions this method converges. numerical implementation of the method is illustrated by a benchmark problem originated from heat conduction.

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Journal title:
bulletin of the iranian mathematical society

Publisher: iranian mathematical society (ims)

ISSN 1017-060X

volume 37

issue No. 3 2011

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