The surface transport terms enter into the average equations due to the use of boundary conditions for diffuse interfaces.
Spectral methods are becoming increasingly prevalent in solving time-varying partial differential equations due to their fast convergence properties.
The concrete forms of the system of two non-linear cubic cable equations due to the load type are derived and presented.
However, the said relationships could not be accurately determined in reverse direction using the obtained regression equations due to the presence of a non-square transformation matrix.
It is challenge work to design parareal algorithms for time-fractional differential equations due to the historical effect of the fractional operator.
The mathematical model consists of a set of highly nonlinear equations due to the strong coupling of the mass and heat transport and the reaction kinetics.
When working with pH it is not possible to use the governing equations due to the complexity of the enzymatic hydrolysis.
The self-organization of spatio-temporal solution of wave equations due to interplay between thermal diffusion and kinetics gives rise to pattern formation.
Standard equations, due to Rice, for the response of linear systems to Gaussian stochastic inputs are reformulated as a variation method involving probability functionals.
The adsorption process fitted the second-order kinetics well, and the two isotherm equations due to Freundlich and Langmuir showed good fits with the experimental data.
