The spectral method for solving sine-Gordon equation using a new orthogonal polynomial (Q1954385)
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scientific article; zbMATH DE number 6172950
| Language | Label | Description | Also known as |
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| English | The spectral method for solving sine-Gordon equation using a new orthogonal polynomial |
scientific article; zbMATH DE number 6172950 |
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The spectral method for solving sine-Gordon equation using a new orthogonal polynomial (English)
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11 June 2013
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Summary: We have presented a numerical scheme for solving one-dimensional nonlinear sine-Gordon equation. We apply the spectral method with a basis of a new orthogonal polynomial which is orthogonal over the interval \([0, 1]\) with weighting function one. The results show the accuracy and efficiency of the proposed method.
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