عنوان
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Numerical simulation of the nonlinear fractional regularized long-wave model arising in ion acoustic plasma waves
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نوع پژوهش
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مقاله چاپ شده
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کلیدواژهها
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Fractional regularized long-wave equation, Caputo fractional derivative, RBF-FD, Stability
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چکیده
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This paper aimed at obtaining the traveling-wave solution of the nonlinear time fractional regularized long-wave equation. In this approach, rstly, the time fractional derivative is accomplished using a nite di erence with convergence order O(t2 ) for 0 < < 1 and the nonlinear term is linearized by a linearization technique. Then, the spatial terms are approximated with the help of the radial basis function (RBF). Numerical stability of the method is analyzed by applying the Von-Neumann linear stability analysis. Three invariant quantities corresponding to mass, momentum and energy are evaluated for further validation. Numerical results demonstrate the accuracy and validity of the proposed method
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پژوهشگران
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حسین جعفری (نفر سوم)، سید محبوبه مولوی عربشاهی (نفر دوم)، امید نیکان (نفر اول)
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