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The Analytical Method To Solve Time Fractional Navier-Stokes Equations | ||
| journal of kerbala university | ||
| Article 1, Volume 14, Issue 2, 2018, Pages 20-28 PDF (0 K) | ||
| Author | ||
| Basim K. Albuohimad | ||
| Abstract | ||
| In this study, we present a new method for solving time-fractional Navier-Stokes equations analytically. For this purpose, we use Sumudu Transform depending on Homotopy perturbation method to find the solution of fractional Navier-Stokes equations. The derivatives of non-integer order are described in the Caputo sense. We also refer to applied examples of its proving the efficiency and validity of the proposed idea. في هذه الدراسة، نقدم طريقة جديدة لحل معادلات نافيير-ستوكس الزمنية الكسرية تحليليا. لهذا الغرض، نستخدم تحويل سومودو (Sumudu Transform) اعتمادا على طريقة اضطراب هوموتوبي (HPTM) لإيجاد حل معادلات نافيير- ستوكس الكسرية. باستخدام تعريف (Caputo) للتفاضل الكسري. ونشير أيضا إلى أمثلة تطبيقية تثبت مدى كفاءة وصلاحية الفكرة المقترحة. | ||
| Keywords | ||
| Sumudu transform; Homotopy perturbation method; Navier; Stokes equations; Sumudu transform; HPTM | ||
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