کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
11026264 | 1666410 | 2018 | 5 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On the solution of time-fractional KdV-Burgers equation using Petrov-Galerkin method for propagation of long wave in shallow water
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موضوعات مرتبط
مهندسی و علوم پایه
فیزیک و نجوم
فیزیک آماری و غیرخطی
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چکیده انگلیسی
In the present article, Petrov-Galerkin method has been utilized for the numerical solution of nonlinear time-fractional KdV-Burgers (KdVB) equation. The nonlinear KdV-Burgers equation has been solved numerically through the Petrov-Galerkin approach utilising a quintic B-spline function as the trial function and a linear hat function as the test function . The numerical outcomes are observed in good agreement with exact solutions for classical order. In case of fractional order, the numerical results of KdV-Burgers equations are compared with those obtained by new method proposed in [1]. Numerical experiments exhibit the accuracy and efficiency of the approach in order to solve nonlinear dispersive and dissipative problems like the time-fractional KdV-Burgers equation.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Chaos, Solitons & Fractals - Volume 116, November 2018, Pages 376-380
Journal: Chaos, Solitons & Fractals - Volume 116, November 2018, Pages 376-380
نویسندگان
A.K. Gupta, S. Saha Ray,