@article { author = {Babayar-Razlighi, B. and Ivaz, K. and Mokhtarzadeh, M.}, title = {Convergence of product integration method applied for numerical solution of linear weakly singular Volterra systems}, journal = {Bulletin of the Iranian Mathematical Society}, volume = {37}, number = {No. 3}, pages = {135-148}, year = {2011}, publisher = {Iranian Mathematical Society (IMS)}, issn = {1017-060X}, eissn = {1735-8515}, doi = {}, 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}, url = {http://bims.iranjournals.ir/article_355.html}, eprint = {http://bims.iranjournals.ir/article_355_4c05419e0679e03a7d612b134a6c9404.pdf} }