Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

Equipment

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Novelty numerical algorithm for solving ordinary fractional order differential equations by applying orthogonal collocation points method.

2016/23/D/ST6/01709

Keywords:

Numerical Algorithm Solving Ordinary Fractional Order Differential Equations Orthogonal Collocation Points Method

Descriptors:

  • ST6_12: Scientific computing, simulation and modelling tools

Panel:

ST6 - Computer science and informatics: informatics and information systems, computer science, scientific computing, intelligent systems

Host institution :

Politechnika Łódzka, Wydział Elektrotechniki, Elektroniki, Informatyki i Automatyki

woj. łódzkie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr Dariusz Brzeziński 

Number of co-investigators in the project: 1

Call: SONATA 12 - announced on 2016-09-15

Amount awarded: 89 200 PLN

Project start date (Y-m-d): 2017-07-25

Project end date (Y-m-d): 2019-11-24

Project duration:: 28 months (the same as in the proposal)

Project status: Project settled

Project description

Download the project description in a pdf file

Note - project descriptions were prepared by the authors of the applications themselves and placed in the system in an unchanged form.

Equipment purchased [PL]

  1. Komputer przenośny (6 000 PLN)

Information in the final report

  • Publication in academic press/journals (3)
  • Articles in post-conference publications (2)
  1. An Accurate And Reliable Numerical Jacobi-Chebyshev Collocation Points Method for Solving Fractional Differential Equations.
    Authors:
    Dariusz W. Brzeziński
    Academic press:
    Mathematics and Computers in Simulation (rok: 2020, tom: nie dotyczy, strony: nie dotyczy), Wydawca: Transactions in IMACS
    Status:
    Submitted
    DOI:
    brak - link to the publication
  2. Review of numerical methods for NumILPT with computational accuracy assessment for fractional calculus
    Authors:
    Dariusz W.Brzeziński
    Academic press:
    Applied Mathematics and Nonlinear Sciences (rok: 2018, tom: 3(2), strony: 487-502), Wydawca: Sciendo/De Gruyter
    Status:
    Published
    DOI:
    10.2478/AMNS.2018.2.00038 - link to the publication
  3. Fractional Order Derivative and Integral Computation with a Small Number of Discrete Input Values Using Grünwald–Letnikov Formula
    Authors:
    Dariusz W. Brzeziński
    Academic press:
    International Journal of Computational Methods (rok: 2019, tom: 16(3), strony: 16), Wydawca: World Scientific Publishing Company
    Status:
    Published
    DOI:
    10.1142/S0219876219400061 - link to the publication
  1. Fractional Order Derivative Computation with a Small Number of Discrete Input Values
    Authors:
    Dariusz W. Brzeziński
    Conference:
    International Conference on Computational Methods, Rzym, Włochy (rok: 2018, ), Wydawca: ScienTech Publisher
    Data:
    konferencja 06-10.08.
    Status:
    Published
  2. Computation of Gauss-Jacobi Quadrature Nodes and Weights with Arbitrary Precision
    Authors:
    Dariusz W. Brzeziński
    Conference:
    The 2018 Federated Conference on Computer Science and Information Systems, FedCSIS 2018, Poznań, Polska (rok: 2018, ), Wydawca: Institute of Electrical and Electronics Engineers Inc.
    Data:
    konferencja 09.09-12.09
    Status:
    Published

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