The Journal of the Indian Mathematical Society

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Solving Uncertain Differential Equation with Fuzzy Boundary Conditions


Affiliations
1 Department of Mathematics, National Institute of Technology Rourkela, Odisha-769008, India
     

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In this paper, a novel technique has been developed for solving a general linear dierential equation with fuzzy boundary conditions. The target has been to use the developed technique to solve in particular the radon transport (subsurface soil to buildings) equation with uncertain (fuzzy) boundary conditions. The fuzzy boundary condition has been described by a triangular fuzzy number (TFN). Corresponding results are presented in term of plots and are also compared with crisp ones.

Keywords

Advection, Diffusion, Fuzzy, Geometric, Radon.
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  • Solving Uncertain Differential Equation with Fuzzy Boundary Conditions

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Authors

T. D. Rao
Department of Mathematics, National Institute of Technology Rourkela, Odisha-769008, India
S. Chakraverty
Department of Mathematics, National Institute of Technology Rourkela, Odisha-769008, India

Abstract


In this paper, a novel technique has been developed for solving a general linear dierential equation with fuzzy boundary conditions. The target has been to use the developed technique to solve in particular the radon transport (subsurface soil to buildings) equation with uncertain (fuzzy) boundary conditions. The fuzzy boundary condition has been described by a triangular fuzzy number (TFN). Corresponding results are presented in term of plots and are also compared with crisp ones.

Keywords


Advection, Diffusion, Fuzzy, Geometric, Radon.

References





DOI: https://doi.org/10.18311/jims%2F2019%2F18122