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Title
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Numerical investigation of the generalized Thomas-Fermi equation using Chbyshev-wavelet collocation method
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Type
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Refereeing
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Keywords
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generalized Thomas-Fermi equation, Chbyshev-wavelet , collocation method
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Abstract
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A numerical method based on Chebyshev polynomials and wavelet theory to numerically solve the generalized Thomas-Fermi boundary value problems are proposed. Firstly, we convert the generalized Thomas- Fermi boundary value problem in the equivalent integral equation. Then the collocation technique based on Chebyshev wavelets is applied to obtain a system of nonlinear equations which is then dealt with the Newton-Raphson method. The error bound of the current method is supplied. The exactness of the present method is tested by computing the L1 and the L2-norm errors of several numerical problems. The obtained results are compared with the precise solution and the results obtained by the other known techniques. The advantage of the Chebyshev wavelet collocation method is that it yields better accuracy for a smaller number of collocation points.
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Researchers
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Salameh Sedaghat (Referee)
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