This paper is concerned with a three-level alternating direction implicit (ADI) method for the numerical solution of a 3D hyperbolic equation. Stability criterion of this ADI method is given by using von Neumann method. Meanwhile, it is shown by a discrete energy method that it can achieve fourth-order accuracy in both time and space with respect to H-1- and L-2-norms only if stable condition is satisfied. It only needs solution of a tri-diagonal system at each time step, which can be solved by multiple applications of one-dimensional tri-diagonal algorithm. Numerical experiments confirming the high accuracy and efficiency of the new algorithm are provided.
机构:
Amir Kabir Univ Technol, Fac Math & Comp Sci, Dept Appl Math, Tehran 15914, IranAmir Kabir Univ Technol, Fac Math & Comp Sci, Dept Appl Math, Tehran 15914, Iran
Dehghan, Mehdi
Ghesmati, Arezou
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机构:
Amir Kabir Univ Technol, Fac Math & Comp Sci, Dept Appl Math, Tehran 15914, IranAmir Kabir Univ Technol, Fac Math & Comp Sci, Dept Appl Math, Tehran 15914, Iran
机构:
Amirkabir Univ Technol, Fac Math & Comp Sci, Dept Appl Math, Tehran 15914, IranAmirkabir Univ Technol, Fac Math & Comp Sci, Dept Appl Math, Tehran 15914, Iran
Dehghan, Mehdi
Mohebbi, Akbar
论文数: 0引用数: 0
h-index: 0
机构:
Amirkabir Univ Technol, Fac Math & Comp Sci, Dept Appl Math, Tehran 15914, IranAmirkabir Univ Technol, Fac Math & Comp Sci, Dept Appl Math, Tehran 15914, Iran
机构:
Amir Kabir Univ Technol, Fac Math & Comp Sci, Dept Appl Math, Tehran 15914, IranAmir Kabir Univ Technol, Fac Math & Comp Sci, Dept Appl Math, Tehran 15914, Iran
Dehghan, Mehdi
Ghesmati, Arezou
论文数: 0引用数: 0
h-index: 0
机构:
Amir Kabir Univ Technol, Fac Math & Comp Sci, Dept Appl Math, Tehran 15914, IranAmir Kabir Univ Technol, Fac Math & Comp Sci, Dept Appl Math, Tehran 15914, Iran
机构:
Amirkabir Univ Technol, Fac Math & Comp Sci, Dept Appl Math, Tehran 15914, IranAmirkabir Univ Technol, Fac Math & Comp Sci, Dept Appl Math, Tehran 15914, Iran
Dehghan, Mehdi
Mohebbi, Akbar
论文数: 0引用数: 0
h-index: 0
机构:
Amirkabir Univ Technol, Fac Math & Comp Sci, Dept Appl Math, Tehran 15914, IranAmirkabir Univ Technol, Fac Math & Comp Sci, Dept Appl Math, Tehran 15914, Iran