In this paper, we propose a finite difference numerical method for the smooth solution of a system of linear Volterra integral equations. This method is a generalization of the finite difference method proposed in [11] and [12] for scalar linear Volterra integral equations. Error analysis of this method is presented via asymptotic expansion of the absolute error, and verification of accuracy is examined by two illustrative test problems.
JALALVAND, M. (2024). A Finite Difference Method for Smooth Solution of a System of Linear Volterra Integral Equations. Journal of Advanced Mathematical Modeling, 14(3-English), 1-15. doi: 10.22055/jamm.2024.45422.2234
MLA
MEHDI JALALVAND. "A Finite Difference Method for Smooth Solution of a System of Linear Volterra Integral Equations". Journal of Advanced Mathematical Modeling, 14, 3-English, 2024, 1-15. doi: 10.22055/jamm.2024.45422.2234
HARVARD
JALALVAND, M. (2024). 'A Finite Difference Method for Smooth Solution of a System of Linear Volterra Integral Equations', Journal of Advanced Mathematical Modeling, 14(3-English), pp. 1-15. doi: 10.22055/jamm.2024.45422.2234
VANCOUVER
JALALVAND, M. A Finite Difference Method for Smooth Solution of a System of Linear Volterra Integral Equations. Journal of Advanced Mathematical Modeling, 2024; 14(3-English): 1-15. doi: 10.22055/jamm.2024.45422.2234