کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
827642 908018 2010 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Analytical approach to Fokker–Planck equation with space- and time-fractional derivatives by means of the homotopy perturbation method
موضوعات مرتبط
مهندسی و علوم پایه شیمی شیمی (عمومی)
پیش نمایش صفحه اول مقاله
Analytical approach to Fokker–Planck equation with space- and time-fractional derivatives by means of the homotopy perturbation method
چکیده انگلیسی

In this study, we present numerical solutions for the space- and time-fractional Fokker–Planck equation using the homotopy perturbation method (HPM). The fractional derivatives are described in the Caputo sense. The methods give an analytic solution in the form of a convergent series with easily computable components, requiring no linearization or small perturbation. Some examples are given and comparisons are made, the comparisons show that the homotopy perturbation method is very effective and convenient and overcome the difficulty of traditional methods. The numerical results show that the approaches are easy to implement and accurate when applied to space- and time-fractional Fokker–Planck equations. The methods introduce a promising tool for solving many space–time fractional partial differential equations.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of King Saud University - Science - Volume 22, Issue 4, October 2010, Pages 257–264
نویسندگان
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