کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
10677578 | 1012360 | 2016 | 24 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Jacobi-Gauss-Lobatto collocation method for solving nonlinear reaction-diffusion equations subject to Dirichlet boundary conditions
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موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مکانیک محاسباتی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Jacobi-Gauss-Lobatto collocation method for solving nonlinear reaction-diffusion equations subject to Dirichlet boundary conditions Jacobi-Gauss-Lobatto collocation method for solving nonlinear reaction-diffusion equations subject to Dirichlet boundary conditions](/preview/png/10677578.png)
چکیده انگلیسی
This paper extends the application of the spectral Jacobi-Gauss-Lobatto collocation (J-GL-C) method based on Gauss-Lobatto nodes to obtain semi-analytical solutions of nonlinear time-dependent reaction-diffusion equations (RDEs) subject to Dirichlet boundary conditions. This approach has the advantage of allowing us to obtain the solution in terms of the Jacobi parameters α and β, which therefore means that the method holds a number of collocation methods as a special case. In addition, the problem is reduced to the solution of system of ordinary differential equations (SODEs) in the time variable, which may then be solved by any standard numerical technique. We consider five applications of the general method to concrete examples. In each of the examples considered, the numerical results show that the proposed method is of high accuracy and is efficient for solving nonlinear time-dependent RDEs.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematical Modelling - Volume 40, Issue 3, 1 February 2016, Pages 1703-1716
Journal: Applied Mathematical Modelling - Volume 40, Issue 3, 1 February 2016, Pages 1703-1716
نویسندگان
A.H. Bhrawy, E.H. Doha, M.A. Abdelkawy, R.A. Van Gorder,