A divided differences based medium to analyze smoothness of the binary bivariate refinement schemes

Abstract In this article, we present the continuity analysis of the 3D models produced by the tensor product scheme of ( m + 1 ) $(m+1)$ -point binary refinement scheme. We use differences and divided differences of the bivariate refinement scheme to analyze its smoothness. The C 0 $C^{0}$ , C 1 $C^...

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Bibliographic Details
Main Authors: Rabia Hameed, Ghulam Mustafa, Dumitru Baleanu, Yu-Ming Chu
Format: Article
Published: SpringerOpen 2021-03-01
Series:Advances in Difference Equations
Online Access:https://doi.org/10.1186/s13662-021-03336-6