On the rational second kind Chebyshev pseudospectral method for the solution of the Thomas–Fermi equation over an infinite interval
In this paper, we propose a pseudospectral method for solving the Thomas–Fermi equation which is a nonlinear singular ordinary differential equation on a semi-infinite interval. This approach is based on the rational second kind Chebyshev pseudospectral method that is indeed a combination of tau and...
| Main Authors: | , , , |
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| Format: | Article |
| Published: |
Elsevier BV
2014
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| Online Access: | http://psasir.upm.edu.my/id/eprint/34742/ |
| Summary: | In this paper, we propose a pseudospectral method for solving the Thomas–Fermi equation which is a nonlinear singular ordinary differential equation on a semi-infinite interval. This approach is based on the rational second kind Chebyshev pseudospectral method that is indeed a combination of tau and collocation methods. This method reduces the solution of this problem to the solution of a system of algebraic equations. The slope at origin is provided with high accuracy. Comparison with some numerical solutions shows that the present solution is effective and highly accurate. |
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