عنوان المقالة: Sinc-Jacobi Collocation Algorithm For Solving The Time-Fractional Diffusion-Wave Equations
أ.م.د. محمد غازي صبري الصافي | Assist. Prof. Dr. Mohammed Ghazi Sabri Al-Safiِِِ | 3299
نوع النشر
مجلة علمية
المؤلفون بالعربي
المؤلفون بالإنجليزي
OH Mohammed, FS Fadhel, MGS AL-Safi
الملخص الانجليزي
In this paper, we present a numerical method for fractional diffusion equations with variable coefficients. This method is based on Shifted Jacobi collocation scheme and Sinc functions approximation for temporal and spatial discretizations, respectively. The method consists of reducing the problem to the solution of linear algebraic equations by expanding the required approximate solution as the elements of shifted Jacobi polynomials in time and the Sinc functions in space with unknown coefficients. Some examples are provided to illustrate the applicability and the simplicity of the proposed numerical scheme.
تاريخ النشر
01/01/2015
الناشر
International Journal of Mathematics and Statistics Studies, IJMSS UK
رقم المجلد
3
رقم العدد
1
الصفحات
28-37
رابط خارجي
http://www.eajournals.org/wp-content/uploads/Sinc-Jacobi-Collocation-Algorithm-for-Solving-the-time-Fractional-Diffusion-wave-Equations.pdf
الكلمات المفتاحية
shifted Jacobi polynomials, Sinc functions, Collocation method, Fractional diffusion equation.
رجوع