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Numerical Solution for Sine-Gordon Equation Based on Septic B-spline |
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PP: 21-35 |
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doi:10.18576/ncmse/070102
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Author(s) |
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A. A. Soliman,
K. R. Raslan,
Ahmed S. Awad,
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Abstract |
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| In this paper, a numerical approach is introduced for solving the one-dimensional sine-Gordon
equation by employing the collocation method with septic B-splines. The stability of the proposed
schemes is analyzed using the von Neumann method, showing conditional stability. To evaluate their
accuracy, error norms are calculated, and numerical results are provided for two test cases. The results are compared with exact solutions and other numerical methods, demonstrating small absolute
errors and confirming the convergence properties of the proposed approach |
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