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Panda S.,Institute of Mathematics and Applications
Pramana - Journal of Physics | Year: 2010

Chemical potential and internal energy of a noninteracting Fermi gas at low temperature are evaluated using the Sommerfeld method in the fractional-dimensional space. When temperature increases, the chemical potential decreases below the Fermi energy for any dimension equal to 2 and above due to the small entropy, while it increases above the Fermi energy for dimensions below 2 as a result of high entropy. The ranges of validity of the truncated series expansions of these quantities are extended from low to intermediate temperature regime as well as from high to relatively low density regime by using the Padé approximant technique. © Indian Academy of Sciences.

Mohapatra J.,Institute of Mathematics and Applications | Natesan S.,Indian Institute of Technology Guwahati
International Journal of Computational Methods | Year: 2010

In this article, we consider a defect-correction method based on finite difference scheme for solving a singularly perturbed delay differential equation. We solve the equation using upwind finite difference scheme on piecewise-uniform Shishkin mesh, then apply the defect-correction technique that combines the stability of the upwind scheme and the higher-order central difference scheme. The method is shown to be convergent uniformly in the perturbation parameter and almost second-order convergence measured in the discrete maximum norm is obtained. Numerical results are presented, which are in agreement with the theoretical findings. © 2010 World Scientific Publishing Company.

Mohapatra J.,Institute of Mathematics and Applications | Natesan S.,Indian Institute of Technology Guwahati
Computers and Mathematics with Applications | Year: 2010

In this paper, we present the analysis of an upwind scheme for obtaining the global solution and the normalized flux for a convectiondiffusion two-point boundary value problem. The solution of the upwind scheme is obtained on a suitable nonuniform mesh which is formed by equidistributing the arc-length monitor function. It is shown that the discrete solution obtained by the upwind scheme and the global solution obtained via interpolation converges uniformly with respect to the perturbation parameter. In addition, we prove the uniform first-order convergence of the weighted derivative of the numerical solution on this nonuniform mesh and the uniform convergence of the global normalized flux on the whole domain. Numerical results are presented that demonstrate the sharpness of our results. © 2010 Elsevier Ltd. All rights reserved.

Sahoo S.K.,Institute of Mathematics and Applications
International Journal of Applied Engineering Research | Year: 2015

Multi-attribute analysis is a useful tool in constructional, economical, managerial, and many other fields. The technique for order preference by similarity to ideal solution (TOPSIS) is one of the most widely used multi attribute decision making method. The fuzzy multi-criteria models in complex decision making and one multiple attributes, TOPSIS approach has been dealt with. In this paper, the triangular fuzzy numbers are converted into intervals using α cuts and calculated the normalized fuzzy numbers. Finally, implementing TOPSIS algorithm with fuzzy data, assessment of houses has been done. To improve the performance of the overall system, the set of important parameters of the decision making system is identified and the results have been tested in numerical example. © Research India Publications.

Senapati K.,Institute of Mathematics and Applications | Kar S.,Indian Institute of Technology Kharagpur | Routray A.,Indian Institute of Technology Kharagpur
International Conference on Systems in Medicine and Biology, ICSMB 2010 - Proceedings | Year: 2010

A novel and robust technique is described for removing electroencephalogram (EEG) artifacts resulting from ocular muscles contraction during eye movements. We present a new method to remove ocular artifacts from raw EEG signals. This technique is based on the S-transform (ST), a mathematical operation that produces frequency content at each time point within a time-varying signal. The S-transform generates high magnitude S-coefficients at the instants of artifact generation in the signal. A statistical threshold function has been applied to filter out the artifacts in the S-domain. The major advantage of ST-filtering is that the artifacts may be removed within a narrow time frame, while preserving the frequency information at all other time points. It also preserves the absolutely referenced phase information of the signal after removing the artifacts. © 2010 IEEE.

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