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An Analytical Method for Solving Nonlinear Sine-Gordon Equation |
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PP: 5-10 |
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doi:10.18576/sjm/070102
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Author(s) |
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Shehu Maitama,
Yusuf Fatihu Hamza,
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Abstract |
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| In this paper, an analytical method called the Natural Decomposition Method (NDM) for solving nonlinear Sine-Gordon equation is introduced. This analytical method is a combination of the Natural transform Method (NTM) and a well-known technique, the Adomian Decomposition Method (ADM). The proposed analytical method reduces the computational size, avoids round-off errors, linearization, transformation or taking some restrictive assumptions. The series solutions of the Sine-Gordon equation are successfully obtained using the analytical method, and the results are compared with the results of the existing methods. |
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