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. 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., & 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
Babayar-Razlighi, B., Ivaz, K. & 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,
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.