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صفحه نخست /APPLICATIONS OF HOMOTOPY ...
عنوان APPLICATIONS OF HOMOTOPY PERTURBATION METHOD AND ELZAKI TRANSFORM FOR SOLVING NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER
نوع پژوهش مقاله چاپ شده
کلیدواژه‌ها Elzaki transform, He’s polynomials, homotopy perturbation method, time-fractional partial differential equation.
چکیده In this paper a reliable combination of the homotopy perturbation method and the Elzaki transform has been presented for the purpose of investigating some nonlinear partial differential equations of fractional order. We have shown that using the homotopy perturbation method, we can handle the nonlinear terms. Further, we have applied this suggested homotopy perturbation method in order to reformulate the initial value problem. The application of this method results in the solution regarding transformed variables. Besides, the series solution is obtained through using the inverse transformation. The obtained results show the efficiency of the proposed method.
پژوهشگران رحمت درزی (نفر سوم)، بهرام عاقلی (نفر دوم)، عبدالعلی نعمتی حسین آبادی (نفر اول)