Coupled systems mechanics

  • 제6권4호
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  • Pages.487-499
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  • 2017
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  • 2234-2184(pISSN)
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  • 2234-2192(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Modeling radon diffusion equation in soil pore matrix by using uncertainty based orthogonal polynomials in Galerkin's method

  • Rao, T.D. (Department of Mathematics, National Institute of Technology Rourkela) ;
  • Chakraverty, S. (Department of Mathematics, National Institute of Technology Rourkela)
  • 투고 : 2017.08.10
  • 심사 : 2017.10.23
  • 발행 : 2017.12.25
⟨ 이전 논문 다음 논문 ⟩

초록

This paper investigates the approximate solution bounds of radon diffusion equation in soil pore matrix coupled with uncertainty. These problems have been modeled by few researchers by considering the parameters as crisp, which may not give the correct essence of the uncertainty. Here, the interval uncertainties are handled by parametric form and solution of the relevant uncertain diffusion equation is found by using Galerkin's Method. The shape functions are taken as the linear combination of orthogonal polynomials which are generated based on the parametric form of the interval uncertainty. Uncertain bounds are computed and results are compared in special cases viz. with the crisp solution.

키워드

과제정보

연구 과제 주관 기관 : Board of Research in Nuclear Sciences (BRNS)

참고문헌

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