Publication Type : Book Chapter
Publisher : Springer Singapore.
Source : Recent Advances in Applications of Computational and Fuzzy Mathematics
Url : http://dx.doi.org/10.1007/978-981-13-1153-6_4
Campus : Chennai
School : School of Engineering
Department : Mathematics
Verified : No
Year : 2018
Abstract : Radon is a naturally occurring radioactive noble gas which emanates from rocks and soils during the radioactive decay of radium atom inside the material grains. Radon transport in soil pore is usually governed by the physical processes, namely diffusion. Solving the corresponding differential equation with uncertain (fuzzy) parameter is challenging. Accordingly, in this chapter a new technique based on fuzzy polynomials in Galerkin’s method has been proposed to solve the said uncertain differential equation (DE). The shape functions in the initial approximation have been taken as fuzzy polynomials which satisfy the given boundary conditions of the problem. The uncertainty in the DEs is taken in the boundary/initial conditions in fuzzy form. Different degrees of fuzzy polynomials are considered for the simulation. As such step-by-step procedure of the method has also been demonstrated. Obtained results are compared with their exact solutions (wherever possible) in order to demonstrate the validity and applicability of the method.
Cite this Research Publication : T. D. Rao, and S. Chakraverty, 2018. Modeling Radon Diffusion Equation by Using Fuzzy Polynomials in Galerkin’s Method. In Recent Advances in Applications of Computational and Fuzzy Mathematics (pp. 1-22). Springer Singapore.