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Convergence of product integration method applied for numerical solution of linear weakly singular Volterra systems

Article 9, Volume 37, No. 3, September 2011, Page 135-148  XML PDF (327 K)
Document Type: Research Paper
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.
Keywords
Product integration technique; system of singular Volterra integral equations; heat equation
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