Chebyshev Wavelets Method for Solving Partial Differential Equations of Fractional Order

  • Osama H Mohammed Department of Mathematics and Computer Applications, College of Science, Al-Nahrain University, Baghdad-Iraq
  • Haneen A Ameen Department of Mathematics and Computer Applications, College of Science, Al-Nahrain University, Baghdad-Iraq
Keywords: Operational matrix, Chebyshev wavelets, Fractional order partial differential equations

Abstract

In this paper, we use the second kind Chebyshev wavelet operational matrix of fractional integration for solving fractional order linear partial differential equations.By using this method the fractional order partial differential equation is translated into Lyapunov type matrix equation and the computation effort become convenient. Two illustrative examples are provided to demonstrate the validity, simplicity and applicability of the numerical scheme based on the Chebyshev set of functions.

 

Author Biography

Haneen A Ameen, Department of Mathematics and Computer Applications, College of Science, Al-Nahrain University, Baghdad-Iraq



Published
2018-07-01
How to Cite
Mohammed, O. H., & Ameen, H. A. (2018). Chebyshev Wavelets Method for Solving Partial Differential Equations of Fractional Order. Al-Nahrain Journal of Science, 17(3), 185-191. Retrieved from https://anjs.edu.iq/index.php/anjs/article/view/424
Section
Articles