African Journal of
Mathematics and Computer Science Research

  • Abbreviation: Afr. J. Math. Comput. Sci. Res.
  • Language: English
  • ISSN: 2006-9731
  • DOI: 10.5897/AJMCSR
  • Start Year: 2008
  • Published Articles: 233

Full Length Research Paper

A study on exact solution of the telegraph equation by (G'/G)-expansion method

Muhammad Minarul Islam
  • Muhammad Minarul Islam
  • Department of Mathematics, Bangabandhu Sheikh Mujibur Rahman Science and Technology University, Gopalganj, Bangladesh.
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Mohammad Sanjeed Hasan
  • Mohammad Sanjeed Hasan
  • Department of Mathematics, Bangabandhu Sheikh Mujibur Rahman Science and Technology University, Gopalganj, Bangladesh.
  • Google Scholar


  •  Received: 25 January 2016
  •  Accepted: 26 September 2018
  •  Published: 31 October 2018

Abstract

In this article, an exact solution of the Telegraph equation is solved by  -Expansion method and this is one of the most popular example both linear and non-linear partial differential equations. The  -Expansion method is simple and powerful analyzed for getting some sets of exact solutions. To develop the theory and to visualize the graph, the mathematical software MAPLE was used. This method also gives us various kind of heat and wave equations which are implemented not only various types of heat and wave equation but also take a good decision from figure.

Key words:  -Expansion method, Telegraph equation, periodic heat, periodic wave.