Summary Diffusion plays a major role in the field of thermal and chemical engineering. It may arise in a wide range of problems, viz., heat transfer, fluid flow, and chemical diffusion. This chapter includes interval and/or fuzzy uncertainties along with well-known numerical methods, namely, finite element method and explicit finite difference method to investigate heat and gas diffusion problems. It discusses the interval and/or fuzzy finite element formulation for tapered fin and finite difference formulation for radon diffusion mechanism in uncertain environment. The chapter investigates numerical modeling of a chemical diffusion problem and a thermal diffusion problem, viz., radon diffusion mechanism with uncertain bounded parameters and triangular fuzzy number parameters.
Sukanta Nayak, Tharasi Dilleswar Rao, and Snehashish Chakraverty, “Nonprobabilistic Analysis of Thermal and Chemical Diffusion Problems with Uncertain Bounded Parameters”, in Mathematical Methods in Interdisciplinary Sciences, John Wiley & Sons, Inc., Hoboken, New Jersey, USA., 2020, pp. 99-113.