Second International Workshop
Numerical Solution of Fractional Differential Equations and Applications
NSFDE&A'22
Sozopol, Bulgaria
SCIENTIFIC PROGRAM
Eastern European Summer Time (GMT+3)
Sunday, June 5
14:00 – 15:00 Registration
15:00 – 17:00 Face-to-face discussion
Numerical methods for fractional diffusion problems and applications: new opportunities and challenges
Moderators S. Harizanov, S. Margenov
Monday, June 6
09:45 – 10:00 Opening
Chairperson R. Lazarov
10:00 – 10:45 N. Kopteva
Pointwise-in-time a-priori and a-posteriori error control for time-fractional parabolic equations
10:45 – 11:15 A. Cardone
High order collocation methods for fractional differential equations
Coffee Break
11:45 – 12:15 A. Cardone, G. Frasca-Caccia
A conservative numerical method for a time fractional diffusion equation
12:15 – 12:45 S. Apostolov, Y. Dimitrov, V. Todorov
Second order approximations of the Caputo derivative with variable parameters
12:45 – 13:15 N. Garg, A.S.V. Ravi Kanth
Numerical treatment and analysis for a class of multi-term time-fractional Burgers-type equations
Tuesday, June 7
Chairperson S. Margenov
09:30 – 10:15 L. Aceto
Numerical approximations of fractional powers of operators
10:15 – 10:45 C. Hofreither
Rational approximation methods with arbitrary degrees of numerator and denominator
Coffee Break
11:15 – 11:45 H. Sun, Z. Wang, J. Nie, Y. Zhang, R. Xiao
Generalized finite difference method for a class of multidimensional space-fractional diffusion equations
11:45 – 12:15 R. Ciegis, I. Dapsys
On stability, convergence and scalability analysis of parallel algorithms for solution of parabolic problems with fractional power elliptic operators
12:15 – 12:45 M. Kuchta
Fractional operators in coupled multiphysics problems with implicit coupling
Lunch Break
Chairperson S. Margenov
15:00 – 15:30 D. Bolin
Numerical approximation and Bayesian inference of fractional SPDEs
15:30 – 16:00 S. Momani, I. Batiha
Numerical simulations and stability analysis for a fractional-order model on COVID-19
16:00 – 16:30 L. Vulkov
Parameter identification for a time fractional parabolic system of fractured porous media
16:30 – 17:00 M. Koleva, L. Vulkov
Analytical and numerical simulation of atmospheric dispersion by subdiffusion equations with vertical degeneration
17:00 – 17:45 V. Voller
Enthalpy solution of a two-dimensional fractional Stefan problem
Wednesday, June 8
Chairperson S. Harizanov
09:00 – 09:30 V. Kiryakova
Images of special functions under generalized fractional calculus’ integrals and derivatives
09:30 – 10:00 S. Tersian
Multiple solutions for a fractional discrete p-Laplacian boundary value problem
10:00 – 10:30 A. Pskhu
Boundary value problems for fractional PDEs
10:30 – 11:00 N. Popivanov, E. Moiseev, Y. Boshev
Pohozhaev identities and applications to nonlinear mixed type equation
Coffee Break
11:30 – 12:00 P. Vabishchevich
Exponent splitting schemes for evolution equations with fractional powers of operators
12:00 – 12:30 D. Slavchev, S. Margenov
On the application of HSS-compression for numerical solution of space-fractional parabolic problems: complexity and scalability
12:30 – 13:00 N. Kosturski, S. Margenov, Y. Vutov
BURA based non-overlapping domain decomposition preconditioning
13:00 – 13:30 S. Harizanov, I. Lirkov, S. Margenov
BURA(q,α,k) preconditioning in multiscale and multiphysics problems
Thursday, June 9
Chairperson N. Ilieva
09:30 – 10:00 I. Katzarov, N. Ilieva, L. Drenchev
Kinetic Monte-Carlo modeling of the effects of the stress field generated by 1/2[111] screw dislocations on carbon diffusion in bcc Iron
10:00 – 10:30 A. Pashov, Sh. Pashova, P. Petrov
Graph representation of the IgM antibody repertoire
Coffee Break
11:00 – 11:30 P. Petkov, N. Ilieva, E. Lilkova, L. Litov
Orchestrated membrane penetrations as a means of studying peptide-membrane specific affinity
11:30 – 12:00 Y. Cheng, X. Peng, P. Petkov, N. Ilieva
Impact of the grafting topology on the geometry and dynamics of the prospective Parkinson inhibitor MCoCP4
12:00 – 12:30 N. Todorova, M. Rangelov, P. Petkov, N. Ilieva, E. Lilkova, L. Litov
Computational modeling of the replicase-transcriptase complex of SARS-CoV-2
12:30 – 13:00 E. Lilkova, N. Ilieva, P. Petkov, L. Litov
Computational modelling of the interaction of hIFNγ C-terminal peptide and heparin-derived oligosaccharides
