Keynote Lectures:

Title:         Modeling Radon Diffusion Equation with uncertainty using Interval Orthogonal Polynomials in Collocation Method
Authors:    S. Chakraverty, T.D. Rao
Abstract:   Radon is a radioactive noble gas and is a decay product of radium. Recent research has shown that breathing high concentrations of radon leads to lung cancer. According to the United States Environmental Protection Agency, radon is the second most frequent cause of lung cancer, after cigarette smoking. So, there is a need to find the radon levels in different soils. Many experimental researches modeled radon transport through various mediums by diffusion equation. There exist different physical factors on which radon generation depends viz. radium concentration, velocity and diffusion coefficients which are usually measured by experiments. As such, one may obtain uncertain values or bounds of the parameters rather than exact values. So, the equation describing radon transport in soil pore matrix with uncertain bounds (as intervals) needs to be solved. In view of the above, this paper targets to investigate the approximate solution bounds of uncertain radon transport equation (in soil pore matrix). These problems have been modeled by few researchers by considering the parameters as crisp, which may not give the correct essence of the uncertainty. The interval uncertainties are handled by parametric form and solution of the relevant uncertain radon transport equation is found by using Collocation Method with shape functions taken as the linear combination of interval orthogonal polynomials. Corresponding results are presented and are compared in special cases viz. with crisp solution.

Pages:       007-007

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