Sufficient conditions for the validity of the discrete maximum principle (DMP) for a 1D diffusion-reaction problem −u + κu = f with the homogeneous Dirichlet boundary conditions discretized by the higher-order finite element method are presented. It is proved that the DMP is satisfied if the lengths h of all elements are shorter then one-third of the length of the entire domain and if κh is sma...

kinetic study of epoxidation of unsaturated ketone of mesityl oxide was studied by usinghydrogen peroxide in the presence of dodecyltrimethyl ammonium bromide (dtab) as aninverse phase transfer catalyst. the reaction was carried out in the two-phase media of waterheptanewith 1:1 ratio in 25 °c. it was found that the order of reaction for mesityl oxide forketone concentration in the range of 0.0...

The catalytic oxidation of toluene to benzoic acid in the liquid phase has been studied in an un-stirred tank reactor. Low concentration of acetic acid was added in order to increase the solubility of the catalyst in toluene. The dependence of the rate of reaction on the concentration of toluene catalyst and oxygen pressure was studied. It has been suggested that liquid phase oxidation of t...

The stochastic reaction diffusion systems may suffer sudden shocks‎, ‎in order to explain this phenomena‎, ‎we use Markovian jumps to model stochastic reaction diffusion systems‎. ‎In this paper‎, ‎we are interested in almost sure exponential stability of stochastic reaction diffusion systems with Markovian jumps‎. ‎Under some reasonable conditions‎, ‎we show that the trivial solution of stocha...

Kinetic parameters of the ammonolysis reaction of dichloroethane in nonaqueous media are studied and the optimum reaction conditions are reported. A suitable reactor for running the reaction under high pressure in the range of 50 to 500 °C is designed. Kinetic behaviours of the system is studied and other reaction parameters such as rate constant, kinetic order, and activation energy are de...