Solution of Fractional Order Differential Equation by the Haar Wavelet Method. Numerical Convergence Analysis for Most Commonly Used Approach.

Autor: Majak, J., Shvartsman, B., Pohlak, M., Karjust, K., Eerme, M., Tungel, E.
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Zdroj: AIP Conference Proceedings; 2016, Vol. 1738 Issue 1, p480110-1-480110-4, 4p, 2 Charts
Abstrakt: The Haar wavelet method is applied for solution of fractional order differential equations. Numerical convergence analysis is performed for most commonly used wavelet expansion. It has been observed that the order of convergence of the Haar wavelet method is equal to two if higher order derivative α in fractional differential equation exceed one (α>1). However, in the case of 0< α<1 the order of convergence of the Haar wavelet method tends to the value 1+ α. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index