Higher-Order Numerical Scheme for the Fractional Heat Equation with Dirichlet and Neumann Boundary Conditions
NUMERICAL HEAT TRANSFER PART B-FUNDAMENTALS, cilt.63, sa.6, ss.540-559, 2013 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 63 Sayı: 6
- Basım Tarihi: 2013
- Doi Numarası: 10.1080/10407790.2013.778719
- Dergi Adı: NUMERICAL HEAT TRANSFER PART B-FUNDAMENTALS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.540-559
- Van Yüzüncü Yıl Üniversitesi Adresli: Hayır
Özet
In this article, we consider a higher-order numerical scheme for the fractional heat equation with Dirichlet and Neumann boundary conditions. By using a fourth-order compact finite-difference scheme for the spatial variable, we transform the fractional heat equation into a system of ordinary fractional differential equations which can be expressed in integral form. Further, the integral equation is transformed into a difference equation by a modified trapezoidal rule. Numerical results are provided to verify the accuracy and efficiency of the proposed algorithm.