In Section 4, the bilinear Bäcklund transformation, the corresponding Lax pair, and infinite conservation laws are obtained by using the binary Bell polynomials.
We present a methodology for the high order approximation of hyperbolic conservation laws in networks by using the Dumbser Enaux Toro solver and exact solvers for the classical Riemann problem at junctions.
The role of the government and civil society in effecting these "cradle-to-cradle" concepts is explained for the conservation of natural resources by using the principle of extended producer responsibilities.
Non-linear behaviour of the cross-ply laminates is also studied with the harmonic oscillations assumption, by using the conservation of energy and the modal equation.
The mathematical model of the system is developed and governing conservation equations are numerically solved by using the Engineering Equation Solver (EES).
The mathematical model of the system is developed and governing conservation equations are numerically solved by using the Fourth order Runge Kutta method.
The adsorption process model described by a set of partial differential equations (PDEs) is solved by using the conservation element and solution element method, which produces a fast and an accurate numerical solution to PDEs.
We show that prediction of functional TF targets from ChIP-chip data can be improved by using the conservation of STAP predicted affinities as an additional filter.
In this limit the conventional, macroscopic and deterministic, description of the systems applies and a set of ordinary differential equations (ODEs) can be written down to describe it: (2) d x i d t = ∑ μ = 1 M ν i μ f μ (x ), i = 1, …, K. (The ODEs for the species that have been eliminated can be found by using the conservation relations).
The dependent species may be written in terms of the independent species by using the conservation equations which are linear combinations and so, in general, are of the form: (11) n j = c j + ∑ k = 1 K α j k n k, j = K + 1, …, K ^, where the c j and α jk are constants.
