Detail publikace

Solving linear and nonlinear problems using Taylor Series Method

VEIGEND, P. NEČASOVÁ, G. ŠÁTEK, V.

Originální název

Solving linear and nonlinear problems using Taylor Series Method

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

angličtina

Originální abstrakt

This paper focuses on the Taylor-series-based high-order numerical integration method. Linear and nonlinear systems of ordinary differential equations are carefully studied. Linear problems are modelled by partial differential equations and solved in parallel using PETSc library. The parallel solution is demonstrated using the wave equation, which is transformed into the system of ordinary differential equations using the method of lines. Solution of nonlinear problems is introduced together with several optimisations that significantly increase the calculation speed. The improvements are demonstrated using several numerical examples.

Klíčová slova

initial value problems, Taylor series, MTSM, MATLAB, PETSc

Autoři

VEIGEND, P.; NEČASOVÁ, G.; ŠÁTEK, V.

Vydáno

12. 7. 2024

ISSN

2299-1093

Periodikum

Open Computer Science

Ročník

14

Číslo

1

Stát

Spolková republika Německo

Strany od

1

Strany do

15

Strany počet

15

URL

https://www.degruyter.com/document/doi/10.1515/comp-2024-0005/html

BibTex

@article{BUT188923,
  author="Petr {Veigend} and Gabriela {Nečasová} and Václav {Šátek}",
  title="Solving linear and nonlinear problems using Taylor Series Method",
  journal="Open Computer Science",
  year="2024",
  volume="14",
  number="1",
  pages="1--15",
  doi="10.1515/comp-2024-0005",
  issn="2299-1093",
  url="https://www.degruyter.com/document/doi/10.1515/comp-2024-0005/html"
}