Document Type

Article

Publication Date

11-2-2016

Abstract

A moving average transform in the plane with a variable size and shape window depending on the position and the ’time’ is studied. The main objective is to select the window parameters in such a way that the new transform converges smoothly to the identity transform at the boundary of a prescribed bounded plane region. A new approximation of solitary waves arising from Korteweg-de Vries equation is obtained based on results in the paper. Numerical implementation and examples are included.

Comments

© 2016, EDP Sciences. Original published version available at https://doi.org/10.1051/mmnp/201611210

First Page

133

Last Page

144

Publication Title

Mathematical Modelling of Natural Phenomena

DOI

10.1051/mmnp/201611210

Included in

Mathematics Commons

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