On the numerical solution for third order fractional partial differential equation by difference scheme method

The third order fractional partial differential equations is obtained the exactsolution depending on initial-boundary value problem. The exact solution andits stability estimates theorem is proved for this equation. Difference schemesare presented for the third order fractional partial differential equation. Thestabilities of these difference schemes for this problem are given. The numericalsolutions of the third order fractional partial differential equation defined byCaputo fractional derivative for fractional orders α = 0.1, 0.5, 0.9 are calculatedby these methods. The exact solutions are compared with the numerical resultsand it is shown that the given method is effective.

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