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Variable Moving Average Transform Stitching Waves, Vesselin Vatchev
Variable Moving Average Transform Stitching Waves, Vesselin Vatchev
School of Mathematical and Statistical Sciences Faculty Publications and Presentations
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.