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