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Extended Spectral Method for Fractional order Three-dimensional Heat Conduction Problem |
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PP: 165-185 |
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Author(s) |
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Hammad Khalil,
Rahmat Ali Khan,
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Abstract |
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| This paper presents new operational matrices of fractional integral and derivatives for shifted Legendre polynomials. These
operational matrices are employed to design a new spectral method for solving three-dimensional heat conduction problem. The main
advantage of the proposed method is to reduce this complicated problem with its initial and boundary conditions into a system of
easily solvable algebraic equations. The efficiency of the proposed method is shown with some test problems. The results are displayed
graphically. |
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