• Journal title: Acta Technica Jaurinensis
• ISSN: 2064-5228 (online)
• Publisher: Szechenyi Istvan University
• Country of publisher: hungary
• Platform/Host/Aggregator: Open journal system ojs
• Date added to EuroPub: 2019/Sep/29

• LCC Subject Category: Engineering, Multidisciplinary
• Publisher's keywords: nitrogen oxides, wavelets, matrix elements, convection-advection, differential equation
• Language of fulltext: english
• Full-text formats available: PDF
• Time From Submission to Publication: 14

Sz. Nagy

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Differential equations can be solved wavelet-based by representing the continuous functions by their wavelet expansion coefficients and thus the corresponding differential equations are transformed to matrix equations. The wavelet basis functions are organized into resolution levels of different frequency terms at different locations, and the main advantage of the wavelet expansion representation is that the wavelet based differential equation solving methods can be adaptive, it is possible to refine the solution locally, if the precision is not sufficient at some regions.In case of the nitrogen oxides convection-advection equation, the urban environment should be taken as special material parameter in the differential equation's operator, and the matrix elements of the differential operator has to be calculated in a non-continuous environment, and the obstacles are placed so, that they are not at the boundaries of the support of the wavelets.