A1 publications (published in ISI Web of Science™ indexed journals)

1. V. C. Le, M. Slodička and K. Van Bockstal*, A numerical scheme for solving an induction heating problem with moving non-magnetic conductor, submitted (2023, link)
2. K. Van Bockstal*, A. S. Hendy and M. A. Zaky, Space-dependent variable-order time-fractional wave equation: existence and uniqueness of its weak solution, Quaestiones Mathematicae (2023-08, link)
3. K. Van Bockstal*, M. A. Zaky and A. S. Hendy, On the Rothe-Galerkin spectral discretisation for a class of variable fractional-order nonlinear wave equations, Fractional Calculus and Applied Analysis (2023-07, link arXiv, link journal)
4. F. Maes and K. Van Bockstal*, Existence and uniqueness of a weak solution to fractional single-phase-lag heat equation, Fractional Calculus and Applied Analysis (2023-06, link arXiv, link journal)
5. M. A. Zaky, K. Van Bockstal, T. R. Taha, D. Suragan and A. S. Hendy, An L1 type difference/Galerkin spectral scheme for variable-order time-fractional nonlinear diffusion-reaction equations with fixed delay, Journal of Computational and Applied Mathematics (2023-03, link)
6. A. S. Hendy, M. A. Zaky and K. Van Bockstal, Theoretical and numerical aspects for the longtime behavior of nonlinear delay time Caputo fractional reaction-diffusion equations, Nonlinear Dynamics (2023-02, link)
7. K. Van Bockstal*, M. A. Zaky and A. S. Hendy, On the existence and uniqueness of solutions to a nonlinear variable order time-fractional reaction-diffusion equation with delay, Communications in Nonlinear Science and Numerical Simulation (2022-12, link)
8. A. S. Hendy and K. Van Bockstal*, A solely time-dependent source reconstruction in a multiterm time-fractional order diffusion equation with non-smooth solutions, Numerical Algorithms (2022-06, link)
9. K. Van Bockstal* and L. Marin, Finite element method for the reconstruction of a time-dependent heat source in isotropic thermoelasticity systems of type-{III}, Zeitschrift für angewandte Mathematik und Physik (2022-06, link)
10. F. Maes and K. Van Bockstal*, Uniqueness for inverse source problems of determining a space-dependent source in thermoelastic systems, Journal of Inverse and Ill-Posed Problems (2022-04, link)
11. V. C. Le, M. Slodička and K. Van Bockstal*, Existence of a weak solution to a nonlinear induction hardening problem with Leblond-Devaux model for a steel workpiece, Communications in Nonlinear Science and Numerical Simulation (2022-04, link)
12. V. C. Le, M. Slodička and K. Van Bockstal*, A space-time discretization for an electromagnetic problem with moving non-magnetic conductor, Applied Numerical Mathematics (2022-03, link)
13. V. C. Le, M. Slodička and K. Van Bockstal, A full discretization for the saddle-point approach of a degenerate parabolic problem involving a moving body, Applied Mathematics Letters (2022-02, link)
14. A. S. Hendy and K. Van Bockstal*, On a reconstruction of a solely time-dependent source in a time-fractional diffusion equation with non-smooth solutions, Journal of Scientific Computing (2022-01, link)
15. K. Van Bockstal*, Existence of a unique weak solution to a non-autonomous time-fractional diffusion equation with space-dependent variable order, Advances in Difference Equations (2021-12, link)
16. F. Maes and K. Van Bockstal*, Thermoelastic problem in the setting of dual-phase-lag heat conduction: Existence and uniqueness of a weak solution, Journal of Mathematical Analysis and Applications (2021-11, link)
17. K. Van Bockstal*, Uniqueness for Inverse Source Problems of Determining a Space-Dependent Source in Time-Fractional Equations with Non-Smooth Solutions, Fractal and Fractional (2021-10, link)
18. V. C. Le, M. Slodička and K. Van Bockstal, A time discrete scheme for an electromagnetic contact problem with moving conductor, Applied Mathematics and Computation (2021-09, link)
19. V. C. Le, M. Slodička and K. Van Bockstal, Error estimates for the time discretization of an electromagnetic contact problem with moving non-magnetic conductor, Computers and Mathematics with Applications (2021-04, link)
20. K. Van Bockstal*, Existence and uniqueness of a weak solution to a non-autonomous time-fractional diffusion equation (of distributed order), Applied Mathematics Letters (2020-11, link)
21. K. Van Bockstal*, Existence of a Unique Weak Solution to a Nonlinear Non-Autonomous Time-Fractional Wave Equation (of Distributed-Order), Mathematics (2020-08, link)
22. M. Grimmonprez, L. Marin and Karel Van Bockstal*, The reconstruction of a solely time-dependent load in a simply supported non-homogeneous Euler–Bernoulli beam, Applied Mathematical Modelling (2020-03, link)
23. K. Van Bockstal*, Identification of an unknown spatial load distribution in a vibrating beam or plate from the final state, Journal of Inverse and Ill-posed Problems (2019-10, link)
24. M. Slodička, K. Siskova and K. Van Bockstal, Uniqueness for an inverse source problem of determining a space dependent source in a time-fractional diffusion equation, Applied Mathematics Letters (2019-05, link)
25. T. Kang, K. Van Bockstal* and R. Wang, The reconstruction of a time-dependent source from a surface measurement for full Maxwell's equations by means of the potential field method, Computers and Mathematics with Applications (2018-02, link)
26. K. Van Bockstal*, M. Slodička and F. Gistelinck, Identification of a memory kernel in a nonlinear integrodifferential parabolic problem, Applied Numerical Mathematics (2017-10, link)
27. K. Van Bockstal* and L. Marin, Recovery of a space-dependent vector source in anisotropic thermoelastic systems, Computer Methods in Applied Mechanics and Engineering (2017-07, link)
28. M. Grimmonprez, K. Van Bockstal and M. Slodička, Error estimates for the time discretization of a semilinear integrodifferential parabolic problem with unknown memory kernel, Numerical Mathematics: Theory, Methods and Applications (2017-02, link)
29. K. Van Bockstal* and M. Slodička, Recovery of a time-dependent heat source in one-dimensional thermoelasticity of type-III, Inverse Problems in Science and Engineering (2017, link)
30. K. Van Bockstal*, R. H. De Staelen and M. Slodička, Identification of a memory kernel in a semilinear integrodifferential parabolic problem with applications in heat conduction with memory, International Journal of Computational and Applied Mathematics (2015-12, link)
31. R. H. De Staelen, K. Van Bockstal and M. Slodička, Error analysis in the reconstruction of a convolution kernel in a semilinear parabolic problem, International Journal of Computational and Applied Mathematics (2015-02, link)
32. K. Van Bockstal*, M. Slodička, Error estimates for the full discretization of a nonlocal parabolic model for type-I superconductors, International Journal of Computational and Applied Mathematics (2015-02, link)
33. K. Van Bockstal* and M. Slodička, A macroscopic model for an intermediate state between type-I and type-II superconductivity, Numerical Methods for Partial Differential Equations (2015-01, link)
34. K. Van Bockstal* and M. Slodička, The well-posedness of a nonlocal hyperbolic model for type-I superconductors, Journal of Mathematical Analysis and Applications (2015-01, link)
35. K. Van Bockstal*, M. Slodička, Recovery of a space-dependent vector source in thermoelastic systems, Inverse Problems in Science and Engineering (2015, link) (Selected as the Mathematics & Statistics Article of the Week by Taylor & Francis in December 2014)
36. K. Van Bockstal*, M. Slodička, Determination of a time-dependent diffusivity in a nonlinear parabolic problem, Inverse Problems in Science and Engineering (2015, link)
37. M. Slodička, K. Van Bockstal*, A nonlocal parabolic model for type-I superconductors, Numerical Methods for Partial Differential Equations (2014-05, link)
38. K. Van Bockstal*, M. Slodička, Determination of an unknown diffusion coefficient in a semilinear parabolic problem, International Journal of Computational and Applied Mathematics (2013-07, link)