Numerical solution of the wave equation using shearlet frames

Subject Areas : Statistics

M.  Amin khah ¹ (Department of Mathematics, Faculty of Sciences and new Technologies, Graduate University of Advanced Technology, Kerman, Iran.)
A.  Askari Hemmat ² (Department of Applied Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran)
R.  Raisi Tousi ³ (Department of Pure Mathematics, Ferdowsi University of Mashhad, P.O.Box 1159-91775, Mashhad, Iran)

Received: 2017-04-28 Accepted : 2017-06-05 Published : 2017-02-01

Keywords: قاب شرلت, معادله موج, قضیه پلانچرل, تبدیل فوریه,

Abstract :

In this paper, using shearlet frames, we present a numerical method for solving the wave equation. We define a new shearlet system and by the Plancherel theorem, we calculate the shearlet coefficients.