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An Extended Theoretical and Numerical Study of two-Point Boundary Value Problems Using Collocation Method with Physical Applications |
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PP: 33-39 |
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doi:10.18576/ncmse/010104
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Author(s) |
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Khalid K. Ali,
M. A. Shaalan,
K. R. Raslan,
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Abstract |
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| In this paper, we present a collocation method based on trigonometric quintic B-spline function is studied and
applied for the numerical solutions of two-point boundary value problems arising in physical applications. The
convergence of the trigonometric quintic B-spline collocation method is proved using diagonally dominant matrices. The numerical applications appear that our method is highly efficient and the maximum absolute error is convenient. |
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