Publications

PhD Thesis:

Implementation and analysis of fast and temporal high-order methods for solving time-fractional advection-diffusion equations

Journal Papers

M. Ramezani, G. Haase and R. Mokhtari, A high order multigrid solver for subdiffusion equations, Under review.
M. Ramezani, R. Mokhtari and Y. Yan, Correction of a high-order numerical method for approximating time-fractional wave equation, Under review.

M. Ramezani, R. Mokhtari and G. Haase, Analysis of the stability and convergence for L-type formula combined with a spatial finite element method for solving subdiffusion problems, Electronic Transactions on Numerical Analysis, 55, 568–584, 2022.
M. Ramezani and R. Mokhtari, A novel high-order finite difference method for the time-fractional diffusion equation with smooth /nonsmooth solutions, Bulletin of the Iranian Mathematical Society, 48, 3987-4013, 2022

R. Mokhtari, M. Ramezani and G. Haase, Stability and convergence analyses of the FDM based on some L-type formulae for solving the subdiffusion equation, Numerical Mathematics: Theory, Methods and Applications, 14, 945–971, 2021.

M. Ramezani, R. Mokhtari and G. Haase, Some high order formulae for approximating Caputo fractional derivatives, Applied Numerical Mathematics, 153, 300–318, 2020.

M. Ramezani, M.Mojtabaei and D.Mirzaei, DMLPG solution of the fractional advection-diffusion problem, Engineering Analysis with Boundary Elements, 59, 36–42, 2015.

R. Mokhtari, M. Ramezani and G. Haase, Solving fractional Burgers equations using the Hopf-Cole transformation and local discontinuous Galerkin method, 36th Chemnitz FE Symposium, 11-13 September 2023, University of Graz, Austria.

M. Ramezani and R. Mokhtari, A high-order scheme for distributed order subdiffusion equations, 16th seminar on differential equations and dynamical systems, Tabriz, Iran.
M. Ramezani and R. Mokhtari, A local discontinuous Galerkin method for the subdiffusion inverse source problem with a weakly singular solution, 35th Chemnitz FE Symposium, 15-17 September 2022, Universität der Bundeswehr München, Germany.
R. Mokhtari, M. Ramezani and G. Haase, A high-order FEM for distributed-order subdiffusion equations, 35th Chemnitz FE Symposium, 15-17 September 2022, Universität der Bundeswehr München, Germany.

M. Ramezani, R. Mokhtari and G. Haase, Graded L-type schemes coupled with an adaptive FEM for solving subdiffusion equations, 34th Chemnitz FE Symposium, 6-8 September 2020, Technical University Chemnitz, Germany

R. Mokhtari, M. Ramezani and G. Haase, Analysis of a finite element method based on L-type formulae for solving subdiffusion equations, 33rd Chemnitz FE Symposium, 14-17 September 2020, Technical University Chemnitz, Germany.

M. Ramezani, R. Mokhtari and G. Haase, Application of some high-order numerical formulae in solving time-fractional diffusion equations, 32nd Chemnitz FE Symposium, 9-11 September 2019, University of Duisburg-Essen, Germany.

M. Ramezani and R. Mokhtari, Approximating the Caputo fractional derivative, From biophysical modelling to simulation codes, Iranian-Austrian winter school 2018, Isfahan University of Technology, Iran.