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math.NA2018★ 1 cited
Numerical solutions of ordinary fractional differential equations with singularities
Yuri Dimitrov, Ivan Dimov, Venelin Todorov
The solutions of fractional differential equations (FDEs) have a natural singularity at the initial point. The accuracy of their numerical solutions is lower than the accuracy of t…
math.NA2017
Multidimensional Sensitivity Analysis of Large-scale Mathematical Models
Ivan Dimov, Rayna Georgieva
Sensitivity analysis (SA) is a procedure for studying how sensitive are the output results of large-scale mathematical models to some uncertainties of the input data. The models ar…
math.NA2017★ 1 cited
A Comparison Study of Two High Accuracy Numerical Methods for a Parabolic System in Air Pollution Modelling
Ivan Dimov, Juri Kandilarov, Venelin Todorov +1
We present two approaches for enhancing the accuracy of second order finite difference approximations of two-dimensional semilinear parabolic systems. These are the fourth order co…