A1 Vertaisarvioitu alkuperäisartikkeli tieteellisessä lehdessä

A new approach to solving multiorder time-fractional advection-diffusion-reaction equations using BEM and Chebyshev matrix




TekijätKhalighi M, Amirianmatlob M, Malek A

KustantajaWILEY

Julkaisuvuosi2020

JournalMathematical Methods in the Applied Sciences

Tietokannassa oleva lehden nimiMATHEMATICAL METHODS IN THE APPLIED SCIENCES

Lehden akronyymiMATH METHOD APPL SCI

Sivujen määrä21

ISSN0170-4214

eISSN1099-1476

DOIhttps://doi.org/10.1002/mma.6352

Rinnakkaistallenteen osoitehttps://research.utu.fi/converis/portal/detail/Publication/47026958


Tiivistelmä
In this paper, the boundary element method is combined with Chebyshev operational matrix technique to solve two-dimensional multiorder time-fractional partial differential equations: nonlinear and linear in respect to spatial and temporal variables, respectively. Fractional derivatives are estimated by Caputo sense. Boundary element method is used to convert the main problem into a system of a multiorder fractional ordinary differential equation. Then, the produced system is approximated by Chebyshev operational matrix technique, and its condition number is analyzed. Accuracy and efficiency of the proposed hybrid scheme are demonstrated by solving three different types of two-dimensional time-fractional convection-diffusion equations numerically. The convergent rates are calculated for different meshing within the boundary element technique. Numerical results are given by graphs and tables for solutions and different type of error norms.

Ladattava julkaisu

This is an electronic reprint of the original article.
This reprint may differ from the original in pagination and typographic detail. Please cite the original version.





Last updated on 2024-26-11 at 22:05