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Numerical Scheme for Solving the Space-Time Variable Order Nonlinear Fractional Wave Equation |
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PP: 269-280 |
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doi:10.18576/pfda/010404
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Author(s) |
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Nasser Hassan Sweilam,
Taghreed Abdulrahman Assiri,
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Abstract |
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| In this paper, the space-time variable order fractional wave equation with a nonlinear source term is considered. The
derivative is defined in the Caputo sense. The non-standard finite difference method is proposed for solving the variable order
fractional wave equation. Special attention is given to study the stability analysis and the truncation error of the method. Some
numerical test examples are presented, and the results demonstrate the effectiveness of the method. The obtained results are compared
with exact solutions and the standard finite difference solutions. |
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