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

نویسندگان

b. babayar-razlighi

k. ivaz

m. r. mokhtarzadeh

چکیده

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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عنوان ژورنال:
bulletin of the iranian mathematical society

جلد ۳۷، شماره No. ۳، صفحات ۱۳۵-۱۴۸

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