dr hab. Tomasz Błaszczyk, prof. P.Cz.
pokój: 306, al. Armii Krajowej 21
email:
Zajęcia dydaktyczne (sem. letni 2023/2024):
Introduction to Numerical Methods.
Obliczenia symboliczne.
Obliczenia inżynierskie.
Konsultacje (sem. letni 2023/2024):
Poniedziałek - 10:00-11:00
Czwartek 10:00-12:00
Na konsultacje należy umówić się poprzez email, co najmniej 24 godziny przed planowanym spotkaniem.
Działalność naukowa:
studia
I stopnia
Wyższa Szkoła Pedagogiczna w Częstochowie, Wydział Matematyczno-Przyrodniczy,
Kierunek: Matematyka, ukończone w 2004r.
II stopnia
Akademia Świętokrzyska, Wydział Matematyczno-Przyrodniczy Kierunek: Matematyka, ukończone w 2006r.
III stopnia
Politechnika Częstochowska, Wydział Inżynierii Mechanicznej i Informatyki,
Kierunek: Mechanika, ukończone w 2010r.
stopnie naukowe
2010: doktor nauk technicznych (dyscyplina: mechanika) - Wydział Inżynierii Mechanicznej i Informatyki, Politechnika Częstochowska;
2018: doktor habilitowany nauk technicznych (dyscyplina: mechanika) - Wydział Inżynierii Mechanicznej i Informatyki, Politechnika Częstochowska;
IDs in research services:
ORCID: https://orcid.org...-2818-402X
ResearcherID: http://www.resear...-9059-2014
Scopus: https://www.scopu...5797143400
Google Scholar Profile: https://scholar.g...amp;oi=sra
Researchgate: https://www.resea..._Blaszczyk
Publications:
2024
Klimek, M., Blaszczyk, T., Exact solutions of fractional oscillator eigenfunction problem with fixed memory length. Journal of Applied Mathematics and Computational Mechanics, 23(1), (2024) 45-58.
https://doi.org/1....2024.1.04
2023
D. Lei, HG. Sun, Y. Zhang, T. Blaszczyk, Z. Yu, Upscaling solute transport in rough single-fractured media with matrix diffusion using a time fractional advection-dispersion equation, Journal of Hydrology 627( Part B ) (2023), 130280.
https://doi.org/1...023.130280
2022
T. Blaszczyk K. Bekus, K. Szajek, W. Sumelka, Approximation and application of the Riesz-Caputo fractional derivative of variable order with fixed memory, Meccanica 57(4) (2022), 861-870.
https://doi.org/1...21-01364-w
Klimek M, Ciesielski M, Blaszczyk T., Exact and Numerical Solution of the Fractional Sturm-Liouville Problem with Neumann Boundary Conditions. Entropy 2022, 24(2):143.
https://doi.org/1.../e24020143
2021
T. Blaszczyk, J. Siedlecki, HG. Sun, An exact solution of fractional Euler-Bernoulli equation for a beam with fixed-supported and fixed-free ends, Applied Mathematics and Computation 396 (2021), 125932.
https://doi.org/1...020.125932
K. Szajek, W. Sumelka, K. Bekus, T. Blaszczyk, Designing of Dynamic Spectrum Shifting in Terms of Non-Local Space-Fractional Mechanics, Energies 14(2) (2021), 506.
https://doi.org/1...en14020506
T. Blaszczyk, K. Bekus, K. Szajek, W. Sumelka, On numerical approximation of the Riesz-Caputo operator with the fixed/short memory length, Journal of King Saud University - Science 33(1) (2021), 101220.
https://doi.org/1...020.10.017
2020
K. Szajek, W. Sumelka, T. Blaszczyk, K. Bekus, On selected aspects of space-Fractional Continuum Mechanics model approximation, International Journal of Mechanical Sciences 167 (2020), 105287.
https://doi.org/1...019.105287
2019
K. Szajek, T. Blaszczyk, W. Sumelka, On selected issues of space-fractional mechanics numerical approximations, proceedings of the 4th Polish Congress of Mechanics & 23rd International Conference on Computer Methods in Mechanics, 8-12 September 2019, Kraków, Poland
T. Blaszczyk, K. Bekus, K. Szajek, W. Sumelka, A numerical approach to short-memory principle for Caputo derivatives, proceedings of the 4th Polish Congress of Mechanics & 23rd International Conference on Computer Methods in Mechanics, 8-12 September 2019, Kraków, Poland
T. Blaszczyk, K. Bekus, K. Szajek, W. Sumelka, Numerical integration methods for the approximate computation of the left Caputo derivative with "short memory", proceedings of the 11th Conference on Mathematical Modeling in Physics and Engineering (MMPE'2019), 24-26 June 2019, Nieznanice, Poland
J. Siedlecki, M. Ciesielski, T. Blaszczyk, An exact solution of the fourth order differential equation with the fractional boundary conditions, proceedings of the 11th Conference on Mathematical Modeling in Physics and Engineering (MMPE'2019), 24-26 June 2019, Nieznanice, Poland
K. Szajek, W. Sumelka, T. Blaszczyk, K. Bekus, Selected computational schemes for space-fractional mechanics, proceedings of the 10th German-Greek-Polish Symposium, Recent Advances in Mechanics, September 15-18, 2019, Będlewo, Poland
2018
M. Klimek, M. Ciesielski, T. Blaszczyk, Exact and numerical solutions of the fractional Sturm-Liouville problem, Fract. Calc. Appl. Anal. 21(1) (2018), 45-71.
http://dx.doi.org...-2018-0004
T. Blaszczyk, J. Siedlecki, M. Ciesielski, Numerical algorithms for approximation of fractional integral operators based on quadratic interpolation, Mathematical Methods in the Applied Sciences 41(9) 2018, 3345-3355.
http://dx.doi.org...2/mma.4828
M. Ciesielski, T. Blaszczyk, An exact solution of the second order differential equation with the fractional/generalised boundary conditions, Advances in Mathematical Physics, vol. 2018 (2018), Article ID 7283518, 9 pages.
http://dx.doi.org...18/7283518
T. Blaszczyk, M. Klimek, M. Ciesielski, Numerical aspects of the fractional Sturm-Liouville problem, proceedings of the 6th European Conference on Computational Mechanics (ECCM 6) and 7th European Conference on Computational Fluid Dynamics (ECFD 7), Glasgow, UK (11-15.06.2018).
T. Blaszczyk, M. Ciesielski, M. Klimek, Fractional Sturm-Liouville problem with different types of boundary conditions - numerical approach, proceedings of the 10th Conference on Mathematical Modeling in Physics and Engineering 2018 (MMPE'18), Poraj, Poland (18-21.06.2018), (Abstract Book, ISBN: 978-83-65951-23-6), pp.13-14.
2017
M. Ciesielski, T. Blaszczyk, The Multiple Composition of the Left and Right Fractional Riemann-Liouville Integrals - Analytical and Numerical Calculations, Filomat 31(19) (2017), 6087-6099.
https://doi.org/1...IL1719087C
M. Ciesielski, M. Klimek, T. Blaszczyk, The Fractional Sturm-Liouville Problem - Numerical Approximation and Application in Fractional Diffusion, Journal of Computational and Applied Mathematics 317 (2017), 573-588.
http://dx.doi.org...016.12.014
T. Blaszczyk, Analytical and Numerical Solution of the Fractional Euler-Bernoulli Beam Equation, Journal of Mechanics of Materials and Structures 12(1) (2017), 23-34. http://dx.doi.org...2017.12.23
T. Blaszczyk, M. Ciesielski, Numerical Solution of Euler-Lagrange Equation with Caputo Derivatives, Advances in Applied Mathematics and Mechanics 9(1) (2017), 173-185. http://dx.doi.org....2015.m970
D. Baleanu, J. H. Asad, M. Alipour, T. Blaszczyk, Motion of a spherical particle in a rotating parabola using fractional Lagrangian, University Politehnica of Bucharest Scientific Bulletin-Series A-Applied Mathematics and Physics 79(2) (2017), 183-192. http://www.scient...239292.pdf
D. Baleanu, A. Jajarmi, J.H. Asad, T. Blaszczyk, The Motion of a Bead Sliding on a Wire in Fractional Sense, Acta Physica Polonica A 131(6) (2017), 1561-1564. http://doi.org/10...A.131.1561
T. Blaszczyk, J. Siedlecki, M. Ciesielski, A numerical solution of a fractional oscillator equation with various types of boundary conditions, in: Selected Topics in Contemporary Mathematical Modeling, (Ed.) A.Z. Grzybowski, Publishing Office of Czestochowa University of Technology, Czestochowa, 2017, pp. 9-22. (ISBN: 978-83-7193-668-5).
http://im.pcz.pl/...ter_01.pdf
M. Ciesielski, T. Blaszczyk, J. Siedlecki , Integral representation of fractional Euler-Lagrange equation with mixed boundary conditions, proceedings of the 9th European Nonlinear Dynamics Conference (ENOC 2017), (25-30.06.2017, Budapest, Hungary), ID 214, 2017, 2 pages. (ISBN 978-963-12-9168-1). http://congressli...ts/214.pdf
M. Klimek, T. Blaszczyk, M. Ciesielski, Fractional Sturm-Liouville problem - exact and numerical solutions, proceedings of 8th International Conference: Transform Methods and Special Functions 2017 (TMSF' 2017), (27-31.08.2017, Sofia, Bulgaria), 2017, pp. 25-26.http://www.math.b...SF2017.pdf
T. Blaszczyk, J. Siedlecki, Approximation of fractional integrals based on B-spline interpolation, proceedings of the 9th Conference on Mathematical Modeling in Physics and Engineering 2017 (MMPE'17), Poraj, Poland (18-21.09.2017), (Abstract Book, ISBN: 978-83-945412-7-9), pp. 23-24.
T. Blaszczyk, J. Siedlecki, The Simpson's rule for fractional integral operators, proceedings of the 9th Conference on Mathematical Modeling in Physics and Engineering 2017 (MMPE'17), Poraj, Poland (18-21.09.2017), (Abstract Book, ISBN: 978-83-945412-7-9), pp. 25-26
T. Blaszczyk, Comparison of Two Types of Fractional Operators Including Both the Left and Right Fractional Derivatives, proceedings of the 22nd International Conference on Computer Methods in Mechanics (CMM 2017), Lublin, Poland (13-16.09.2017), MS13-25 -- MS13-26 (Short Papers, ISBN: 978-83-7947-264-2).
2016
T. Blaszczyk, M. Ciesielski, Fractional Oscillator Equation - Analytical Solution and Algorithm for its Approximate Computation, Journal of Vibration and Control 22(8) (2016), 2045-2052.
http://dx.doi.org...6314566836
D. Baleanu, T. Blaszczyk, J.H. Asad, M. Alipour, Numerical Study for Fractional Euler-Lagrange Equations of a Harmonic Oscillator on a Moving Platform, Acta Physica Polonica A 130(3) (2016), 688-691.
http://dx.doi.org...lA.130.688
J. Siedlecki, M. Ciesielski, T. Blaszczyk, The Sturm-Liouville eigenvalue problem - a numerical solution using the control volume method, Journal of Applied Mathematics and Computational Mechanics 15(2) (2016), 127-136.
http://dx.doi.org....2016.2.14
T. Blaszczyk, J. Leszczynski, Direct Methods in Fractional Variational Calculus, proceedings of the 8th Conference on Mathematical Modeling in Physics and Engineering 2016 (MMPE'16), Hucisko, Poland (23-25.06.2016), (Abstract Book ISBN: 978-83-65179-49-4), 2 pages.
2015
M. Ciesielski, T. Błaszczyk, Numerical solution of non-homogenous fractional oscillator equation in integral form, Journal of Theoretical and Applied Mechanics 53(4) (2015), 959-968. http://ptmts.org..../2399/2455
W. Sumelka, T. Blaszczyk, C. Liebold, Fractional Euler-Bernoulli beams: theory, numerical study and experimental validation, European Journal of Mechanics - A/Solids 54 (2015), 243-251. http://dx.doi.org...015.07.002
T. Blaszczyk, M. Ciesielski, Fractional oscillator equation - transformation into integral equation and numerical solution, Applied Mathematics and Computation 257 (2015), 428-435. http://dx.doi.org...014.12.122
T. Blaszczyk, A numerical solution of a fractional oscillator equation in a non-resisting medium with natural boundary conditions, Romanian Reports in Physics 67(2) (2015), 350-358. http://www.rrp.in...7_2/A5.pdf
J. Siedlecki, M. Ciesielski, T. Blaszczyk, Transformation of the second order boundary value problem into integral form - different approaches and a numerical solution, Journal of Applied Mathematics and Computational Mechanics 14(3) (2015), 103-108. http://dx.doi.org....2015.3.11
T. Blaszczyk, Application of the Rayleigh-Ritz method to solve a class of fractional variational problem, Proceedings of the 20th International Conference on Methods and Models in Automation and Robotics (MMAR), (24-27.08.2015, Miedzyzdroje, Poland), 2015, pp. 83-86. IEEE Conference Publications. http://dx.doi.org...15.7283711
T. Błaszczyk, Derivation and numerical solution of fractional Euler-Bernoulli beam equation, proceedings of the 3rd Polish Congress of Mechanics and 21st International Conference on Computer Methods in Mechanics 8-11.09.2015, Gdańsk, pp. 837- 838 (Short Papers Vol. 2, ISBN: 978-83-932107-4-9).
T. Błaszczyk, M. Ciesielski, J. Leszczyński, A review of numerical methods for fractional variational equations, materiały konferencyjne: VII Konferencja Modelowanie Matematyczne w Fizyce i Technice 25-27.06.2015, Hucisko, (Abstract Book ISBN:978-83-65179-10-4), 2 pages.
J. Leszczyński, T. Błaszczyk, A. Szlęk, L. Mikurenda, M. Soiński, Koncepcja budowy modelu matematycznego dynamiki ruchu obiektu na bieżni, materiały konferencyjne: XX Międzynarodowa Konferencja Naukowo-Techniczna Uzbrojenie'2015. Problemy rozwoju, produkcji i eksploatacji techniki uzbrojenia 08-10.06.2015, Jachranka, 7 pages.
2014
E. Szymanek, T. Blaszczyk, M. R. Hall, P. K. Dehdezi, J. Leszczynski, Modelling and analysis of heat transfer trough 1D complex granular system, Granular Matter 16(5) (2014), 687-694. http://dx.doi.org...014-0517-1
W. Sumelka, T. Błaszczyk, Fractional continua for linear elasticity, Archives of Mechanics 66(3) (2014),147-172. http://am.ippt.pa...ew/v66p147
T. Błaszczyk, M. Ciesielski, Numerical solution of fractional Sturm-Liouville equation in integral form, Fract. Calc. Appl. Anal. 17(2) (2014), 307-320. http://dx.doi.org...014-0170-8
T. Błaszczyk, J. Siedlecki, An approximation of the fractional integrals using quadratic interpolation, Journal of Applied Mathematics and Computational Mechanics 13(4) (2014), 13-18. http://amcm.pcz.p...;article=2
Błaszczyk T., Ciesielski M., Kozioł M., Kupisiewicz A., Wrobel P., An Approximation of the Analytical Solution of the Fractional Oscillator Equation, proceedings of the International Conference on Fractional Differentiation and its Applications 23-25.06.2014, Catania, Italy (Abstract Book ISBN:978-1-4799-2590-2), 2 pages.
Błaszczyk T., Ciesielski M., Kozioł M., Kupisiewicz A., Wróbel P., Numerical Solution of the Fractional Oscillator Equation in Integral Form, proceedings of the International Conference on Fractional Differentiation and its Applications, 23-25.06.2014, Catania, Italy (Abstract Book ISBN:978-1-4799-2590-2), 2 pages.
Błaszczyk T., Numerical solution of the fractional Euler-Lagrange equation with natural boundary conditions,proceedings of the Joint Meeting of the German Mathematical Society (DMV) and the Polish Mathematical Society (PTM), 17-20.09.2014, Poznań, 1 page.
2013
T. Błaszczyk, J. Leszczyński, E. Szymanek, Numerical solution of composite left and right fractional Caputo derivative models for granular heat flow, Mechanics Research Communications 48 (2013), 42-45. http://dx.doi.org...012.12.004
T. Błaszczyk, A numerical scheme for a fractional differential equation with multipoint boundary conditions and its application for modelling a temperature profile in a granular medium, proceedings of the Computer Methods in Mechanics 27-31 August 2013, Poznan, Poland, MS02-3-MS02-4.
E. Szymanek, T. Błaszczyk, J. Leszczyński, Verification of profile temperature and pressure from CFB test rig using the fractional differential equations, proceedings of the Computer Methods in Mechanics 27-31 August 2013, Poznan, Poland, MS02-11-MS02-12.
M. Ciesielski, T. Blaszczyk, An Approximation of the Analytical Solution of the fractional Euler-Lagrange equation, Journal of Applied Mathematics and Computational Mechanics, 12 (4), 23-30, 2013.
2011
T. Błaszczyk, M. Ciesielski, M, Klimek, J. Leszczyński, Numerical solution of fractional oscillator equation, Applied Mathematics and Computation 218(6) (2011), 2480-2488. http://dx.doi.org...011.07.062
J. S. Leszczyński, T. Błaszczyk, Modeling the transition between stable and unstable operation while emptying a silo, Granular Matter 13(4) (2011), 429-438. http://dx.doi.org...010-0240-5
T. Błaszczyk, E. Kotela, J. Leszczyński, Application of the fractional oscillator equation to simulations of granular flow in silo, Computer Methods in Materials Science 11(1) (2011), 64-67.
T. Błaszczyk, E. Kotela, M.R. Hall, J. Leszczyński, Analysis and Applications of Composed Forms of Caputo Fractional Derivatives, Acta Mechanica Et Automatica 5(2) (2011), 11-14.
T. Błaszczyk, Numeryczne rozwiązania równań zawierających złożenie lewo- i prawostronnych pochodnych niecałkowitego rzędu, materiały konferencyjne: II Kongres Mechaniki Polskiej, Poznań 28-31.08.2011.
E. Kotela, T. Błaszczyk, J. Leszczyński, M. Hall, Wykorzystanie rachunku różniczkowego niecałkowitego rzędu do opisu jednowymiarowego profilu temperatury w stanie ustalonym, materiały konferencyjne: II Kongres Mechaniki Polskiej, Poznań 28-31.08.2011.
P. Pinkosz, M. Kwiecień, T. Błaszczyk, Ocena przydatności magnetycznych nanokrystalicznych rdzeni pakietowanych oraz nanokrystalicznych rdzeni proszkowych, Wiadomości Elektrotechniczne 11 (2011), 18-20.
T. Błaszczyk, M. Ciesielski, Numerical solution of fractional Euler-Lagrange equation with multipoint boundary conditions, Scientific Research of the Institute of Mathematics and Computer Science 2(10) (2011), 43-48.
2010
T. Błaszczyk, M. Ciesielski, Fractional Euler-Lagrange equations - numerical solutions and applications of reflection operator, Scientific Research of the Institute of Mathematics and Computer Science 2(9) (2010), 17-24.
Leszczyński J., Kotela E., Błaszczyk T., Przegroda budowlana o zmiennym oporze cieplnym i sposób zapewnienia komfortu cieplnego w pomieszczeniu, Zgłoszenie Patentowe nr 389926, BUP Nr 11 (950) Rok XXXVIII, Warszawa, 24.05.2010.
2009
T. Błaszczyk, An application of the Rayleigh-Ritz method for solving fractional oscillator equation, Scientific Research of the Institute of Mathematics and Computer Science 2(8) (2009), 29-36.
2008
T. Błaszczyk, J. S. Leszczyński, Numerical treatment of ordinary differential equations with multiple mixture of integer and fractional derivatives, WCCM8 and ECCOMAS 2008 Conf., Venice 2008.
T. Błaszczyk, Numeryczne schematy rozwiązywania pewnej klasy frakcyjnych równań różniczkowych, II Forum Matematyków Polskich, Częstochowa 2008.
2007
T. Błaszczyk, J. S. Leszczyński, Using the Euler's method to solve ordinary differential equations of higher order with a mixture of integer and Caputo derivatives, Scientific Research of the Institute of Mathematics and Computer Science 1(6) (2007), 31-40.
J. S. Leszczynski, T. Blaszczyk: On some numerical solutions of fractional differential equations and their applications to granular dynamics, Les systémes a dérivées non entiéres: théorie et applications, Workshop, Grenoble 11-12.06.2007.
T. Błaszczyk, J. S. Leszczyński: Simple numerical approach proposed for the solution of ordinary differential equations of integer and fractional order, Les systémes a dérivées non entiéres: théorie et applications, Workshop, Bordeaux 27-28.11.2007. |
