The model is based on a time-dependent set of ordinary differential equations whose solution allows prediction of temperature, pressure and vented mass transients resulting from the explosion of methane-air in vented enclosures.
Three milligrams of BDS, without carrier or solubilizing agent, sprinkled on the surface of BEGM overlying semiconfluent BEAS-2B cells, elicited a time-dependent set of fluorescence responses.
The resulting time dependent nonlinear coupled set of governing equations for film thickness and pressure is solved on different parallel computing platforms using a purpose written portable and scalable parallel multigrid algorithm in order to achieve the fine-scale resolution required to guarantee mesh independent solutions.
The essential idea of the level set is to represent the moving front as the zero level set of the time-dependent level set function.
Two time dependent parameters characterize the set of orthogonal polynomials, the effective temperature T t) and phase space occupation factor Υ t).
We employ adaptive mesh refinement, implicit time stepping, a nonlinear multigrid solver and parallel computation to solve a multi-scale, time dependent, three dimensional, nonlinear set of coupled partial differential equations for three scalar field variables.
Finally, to evaluate the effect of entering in in-patient rehabilitation facilities we used a dummy time dependent variable that was set to 0 before rehabilitation facility admission and one thereafter.
S kij Setup time of job i on machine j immediately after job k. p ij Processing time of job i on machine j. d i Due date of job i. H j Dependent set up time matrix of machine j. 012 … n H j = 0 1 2 … n − S 01 j S 02 j … S 0 n j − − S 12 j … S 1 n j − S 21 j − … S 2 n j ⋮ ⋮ ⋮ ⋱ ⋮ − S n 1 j S n 2 j ⋯ −.
The dynamic response is expressed by a shape mode expansion with time dependent coefficients, governed by a set of coupled ordinary differential equations.
DR has been traditionally defined as a set of time dependent activities that reduce, shed or shift electricity use to improve electric grid reliability and manage costs, which mainly relies on customers' motivation for reducing electricity tariff [14].
Here, we suggest a kinetic model based on a set of time dependent nonlinear ordinary differential equations for protein concentrations.
