It is a BVP for a system of three coupled ordinary differential equations of second order. Schauder's fixed point theorem is applied to show the existence of a solution in the Sobolev space H1.doi:10.1155/2010/701096Shuh-Jye ChernDepartment of MathematicsPo-Chun Huang...
For the combustion of methane, balance the following half-reaction showing the reduction of oxygen. O2(g)→H2O(g) Half-Equation: Half-equations are used in describing the processes of oxidation and reduction: Oxidation defines the loss of electrons in a...
These equations include the decay of a radionuclide to a stable daughter nuclide and the decay of radionuclides to unstable daughter nuclides. The following parent–daughter decay relationships are reviewed: secular equilibrium, transient equilibrium, and the case of no equilibrium. More complex decay ...
The decomposition process of MoDWT is depicted in Fig. 1. The MODWT-based decomposition involves mathematical equations to compute wavelet (W) and scaling (V) coefficients for a discrete signal Y=Yt=0,…,N, which can be expressed as: (1)Wavelet coefficient→W¯jl=∑l=0Lj−1h̃jlYt...
The thermoelectric properties have been evaluated by solving the Boltzmann semi-classical transport equations. The anisotropic power factor similar to SnSe is found in BaAgP also. The calculated power factor of 2.16 mW/mK2 at 700 K along a-axis is close to that of NbFeSb alloys, a promising ...
The accuracy of DFT as a computational tool is excellent, as it introduces more approximations into the Kohn– Sham equations to solve various categories of material systems of materials [5–8]. DFT is increasingly employed to determine the properties of materials for energy harvesting and ...