A Numerical Formulation for N-Dimensional Wave Equations Using Shearlets

Author(s):

Rama Amiri * , Mohammad Zarebnia , Reihaneh Raisi Tousi

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:

A shearlet frame approach is used to solve $n$-dimensional wave equations numerically‎. ‎By the presented procedure‎, ‎the shearlet coefficients are obtained via separate time-independent partial differential equations‎. ‎The proposed method has the advantage of separation of spatial and temporal parameters‎. ‎The issues of convergence and best approximation are also discussed.

Keywords:

Shearlet frame‎ , ‎Wave equation‎ , ‎Shearlet coefficient

Language:
English
Published:
Control and Optimization in Applied Mathematics, Volume:5 Issue: 2, Summer-Autumn 2020
Pages:
11 to 24
https://www.magiran.com/p2408401