A sine-cosine wavelet method for the approximation solutions of the fractional Bagley-Torvik equation

Yıl 2022, Cilt: 40 Sayı: 1, 150 - 154, 25.03.2022

Arzu Turan Dincel

Öz

Fractional Bagley-Torvik differential equations can be used to model a variety of natural phenomena in many branches of applied mathematics and engineering in general. The focus of this study is on solving the fractional Bagley-Torvik equations by using sine-cosine wavelet. To this end, the operational matrix of fractional integration is obtained for sine-cosine wavelets. By utilizing this matrix, fractional Bagley-Torvik differential equation is transformed to a system of linear algebraic equations with unknown coefficients, which in turn can readily be solved using numerical solution methods. Test examples are provided to demonstrate the validity and efficiency of this approach.

Anahtar Kelimeler

Sine-cosine wavelet, Bagley-Torvik equation, Caputo derivative, Block pulse function

Kaynakça

• The article references can be accessed from the .pdf file.