Payame Noor University (PNU) Control and Optimization in Applied Mathematics 2383-3130 5 2 2020 07 01 A Numerical Formulation for N-Dimensional Wave Equations Using Shearlets روشی عددی برای حل عددی معادله موج با استفاده از قیچک‌ها 11 24 8164 10.30473/coam.2021.56816.1157 EN Rama Amiri Department of Mathematics and Applications‎, ‎Faculty of Sciences‎, ‎University of Mohaghegh Ardabili‎, ‎P.O‎. ‎Box‎. ‎11367-56199‎, ‎Ardabil‎, ‎Iran. Mohammad Zarebnia Department of Mathematics and Applications‎, ‎Faculty of Sciences‎, ‎\ University of Mohaghegh Ardabili‎, ‎P.O‎. ‎Box‎. ‎11367-56199‎, ‎Ardabil‎, ‎Iran. Reihaneh Raisi Tousi Department of Pure Mathematics‎, ‎Ferdowsi University of Mashhad, P.O.Box 1159-91775‎, ‎Mashhad‎, ‎Iran‎. Journal Article 2020 12 28 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. Shearlet frame‎ ‎Wave equation‎ ‎Shearlet coefficient https://mathco.journals.pnu.ac.ir/article_8164_b5bee6f45b21b8cf34b860d372232a40.pdf