Spectral Methods in Applied Problems

Authors

  • Halyna Pyanylo Department for Mathematical Methods of Computing Experiment in Center of Mathematical Modeling of Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, National Academy of Sciences of Ukraine
  • Yaroslav Pyanylo Department for Mathematical Methods of Computing Experiment in Center of Mathematical Modeling of Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, National Academy of Sciences of Ukraine
  • Oleh Bratash Department for Mathematical Methods of Computing Experiment in Center of Mathematical Modeling of Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, National Academy of Sciences of Ukraine

Keywords:

differential equations, fractional derivatives, Laguerre polynomials

Abstract

The method for solving differential equations in fractional time derivatives using Laguerre polynomials is proposed. The solution is found from triangular system of differential equations in ordinary or partial coordinate derivatives. The obtained results are tested on the model problem.

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Published

2018-05-19

Issue

2018: INFORMATION TECHNOLOGIES AND COMPUTER MODELLING proceedings of the International Scientific Conference

Section

Section 7 Mathematical and computer modelling of complex systems