Browsing by Author "Alyami, Maryam Ahmed"

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    A Novel Analysis of Generalized Perturbed Zakharov–Kuznetsov Equation of Fractional-Order Arising in Dusty Plasma by Natural Transform Decomposition Method
    (Hindawi, 2022-06) Alhazmi, Sharifah E.; Abdelmohsen, Shaimaa A. M.; Alyami, Maryam Ahmed; Ali, Aatif; Asamoah, Joshua Kiddy K.; 0000-0002-7066-246X
    The natural transform decomposition method (NTDM) is a relatively new transformation method for finding an approximate differential equation solution. In the current study, the NTDM has been used for obtaining an approximate solution of the fractional-order generalized perturbed Zakharov–Kuznetsov (GPZK) equation. The method has been tested for three nonlinear cases of the fractional-order GPZK equation. The absolute errors are analyzed by the proposed method and the q-homotopy analysis transform method (q-HATM). 3D and 2D graphs have shown the proposed method’s accuracy and effectiveness. NTDM gives a much-closed solution after a few terms.