Difference Scheme Method for Fractional Differential Equation Defined by Caputo Derivative

Yıl 2018, Cilt: 2 Sayı: 2, 53 - 56, 10.01.2019

Mahmut Modanlı

Öz

This study gives numerical
solution of the fractional order partial differential equation defined by
Caputo fractional derivative. Laplace transform method is used for the exact
solution of this equation depend on intial-boundary value problem. The
difference schemes are constructed for this equation. The stability of this
difference schemes is proved. Error analysis is performed by comparing the
exact solution with the approximate solution. The effectiveness of the method
is shown from the error analysis table.

Anahtar Kelimeler

Fractional differential equation with Caputo derivative; Laplace method; Stability estimates; The difference method

Kaynakça

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