Numerical Solutions of Inverse Black Body Radiation Problems with Gaussian-Laguerre Quadrature Formula

It is the main aim of this paper to investigate the numerical solutions of the inverse black body radiation problems. The inverse black body radiation problem is ill-posed. Using Gaussian-Laguerre integral formula which is a higher accuracy numerical integration formula with less node numbers to app...

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Bibliographic Details
Published in:International journal of theoretical physics 2015-02, Vol.54 (2), p.519-525
Main Authors: Yang, Ping, Feng, Xue-Wen, Liang, Wen-Jun, Wu, Kai-Su
Format: Article
Language:English
Subjects:
Elementary Particles
Mathematical and Computational Physics
Physics
Physics and Astronomy
Quantum Field Theory
Quantum Physics
Theoretical
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Summary:It is the main aim of this paper to investigate the numerical solutions of the inverse black body radiation problems. The inverse black body radiation problem is ill-posed. Using Gaussian-Laguerre integral formula which is a higher accuracy numerical integration formula with less node numbers to approximate the integral item of black body radiation equation, the black radiation equation is converted into a group of lower dimension algebraic equations. To solve the lower dimension algebraic equation, it only needs to use common Tikhonov regularization methods. The regularization parameter is chosen by using L-curve. Our method reduces the complexity of the algorithm, so the operability of our method is enhanced. Numerical results show that our algorithm is simple and effective, and has better calculation accuracy at the same time.
ISSN:0020-7748
1572-9575
DOI:10.1007/s10773-014-2244-0