2024 : 5 : 18
Shahrokh Esmaeili

Shahrokh Esmaeili

Academic rank: Associate Professor
ORCID:
Education: PhD.
ScopusId: 15834719000
Faculty: Faculty of Science
Address: Department of Mathematics University of Kurdistan
Phone: 08733624133

Research

Title
The Numerical Solution of the Bagley-Torvik Equation by Exponential Integrators
Type
JournalPaper
Keywords
‎fractional derivatives‎, ‎fractional differential equations‎, ‎Bagley-Torvik equation‎, ‎Mittag-Leffler function‎, ‎exponential integrators‎
Year
2017
Journal Scientia Iranica
DOI
Researchers Shahrokh Esmaeili

Abstract

‎This paper presents a family of computational schemes for the solution of the Bagley-Torvik equation‎. ‎The schemes are based on the reformulation of the original problem into a system of fractional differential equations of order $1/2$‎. ‎Then‎, ‎suitable exponential integrators are devised to solve the resulting system accurately‎. ‎The attainable order of convergence of exponential integrators for solving the fractional problem ‎is‎ studied‎. ‎Theoretical findings are validated by means of some numerical examples‎. ‎The advantages of the proposed method are illustrated by comparing several of the existing methods‎.