Higher-Order Numerical Scheme for the Fractional Heat Equation with Dirichlet and Neumann Boundary Conditions

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Atıf İçin Kopyala

PRIYA G. S., PRAKASH P., NIETO J. J., Kayar Z.

NUMERICAL HEAT TRANSFER PART B-FUNDAMENTALS, cilt.63, sa.6, ss.540-559, 2013 (SCI-Expanded)

• 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.