A Numerical Formulation for N-Dimensional Wave Equations Using Shearlets
نویسندگان
1 Department of Mathematics and Applications, Faculty of Sciences, University of Mohaghegh Ardabili, P.O. Box. 11367-56199, Ardabil, Iran.
2 Department of Mathematics and Applications, Faculty of Sciences, \ University of Mohaghegh Ardabili, P.O. Box. 11367-56199, Ardabil, Iran.
3 Department of Pure Mathematics, Ferdowsi University of Mashhad, P.O.Box 1159-91775, Mashhad, Iran.
doi
10.30473/coam.2021.56816.1157چکیده
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.
