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.
Babayar-Razlighi,B. , Ivaz,K. and Mokhtarzadeh,M. R. (2011). Convergence of product integration method applied for numerical
solution of linear weakly singular Volterra
systems. Bulletin of the Iranian Mathematical Society, 37(No. 3), 135-148.
MLA
Babayar-Razlighi,B. , , Ivaz,K. , and Mokhtarzadeh,M. R.. "Convergence of product integration method applied for numerical
solution of linear weakly singular Volterra
systems", Bulletin of the Iranian Mathematical Society, 37, No. 3, 2011, 135-148.
HARVARD
Babayar-Razlighi B., Ivaz K., Mokhtarzadeh M. R. (2011). 'Convergence of product integration method applied for numerical
solution of linear weakly singular Volterra
systems', Bulletin of the Iranian Mathematical Society, 37(No. 3), pp. 135-148.
CHICAGO
B. Babayar-Razlighi, K. Ivaz and M. R. Mokhtarzadeh, "Convergence of product integration method applied for numerical
solution of linear weakly singular Volterra
systems," Bulletin of the Iranian Mathematical Society, 37 No. 3 (2011): 135-148,
VANCOUVER
Babayar-Razlighi B., Ivaz K., Mokhtarzadeh M. R. Convergence of product integration method applied for numerical
solution of linear weakly singular Volterra
systems. BIMS, 2011; 37(No. 3): 135-148.