Math. Model. Nat. Phenom.
Volume 11, Number 2, 2016Spectral problems
|133 - 144
|21 March 2016
Variable Moving Average Transform Stitching Waves
School of Mathematical and Statistical Sciences, The
University of Texas Rio Grande Valley One West University Boulevard,
⋆ Corresponding author. E-mail: email@example.com
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.
Mathematics Subject Classification: 65D10 / 35Q53
Key words: moving average / blending surfaces / Minkowski sums / solitary waves
© EDP Sciences, 2016
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