convergence of product integration method applied for numerical solution of linear weakly singular volterra systems
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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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Convergence of product integration method applied for numerical solution of linear weakly singular Volterra systems
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Journal title:
bulletin of the iranian mathematical societyPublisher: iranian mathematical society (ims)
ISSN 1017-060X
volume 37
issue No. 3 2011
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