A new approximate solution for the Telegraph equation of space-fractional order derivative by using Sumudu method

  • Mohammed G. S. AL-Safi Department of Accounting- Al-Esraa University College, Baghdad, Iraq
  • Wurood R. Abd AL-Hussein Department of Accounting- Al-Esraa University College, Baghdad, Iraq
  • Ayad Ghazi Naser Al-Shammari Ministry of Education-General Directorate of Vocational Education

Abstract

In this work, we are concerned with how to find an explicit approximate solution (AS) for the telegraph equation of space-fractional order (TESFO) using Sumudu transform method (STM). In this method, the space-fractional order derivatives are defined in the Caputo idea. The Sumudu method (SM) is established to be reliable and accurate. Three examples are discussed to check the applicability and the simplicity of this method. Finally, the Numerical results are tabulated and displayed graphically whenever possible to make comparisons between the AS and exact solution (ES).

Published
Jul 29, 2018
How to Cite
AL-SAFI, Mohammed G. S.; AL-HUSSEIN, Wurood R. Abd; AL-SHAMMARI, Ayad Ghazi Naser. A new approximate solution for the Telegraph equation of space-fractional order derivative by using Sumudu method. Iraqi Journal of Science, [S.l.], p. 1301-1311, july 2018. ISSN 2312-1637. Available at: <http://scbaghdad.edu.iq/eijs/index.php/eijs/article/view/441>. Date accessed: 16 oct. 2018.
Section
Mathematics