The term kinetic model refers to a system of algebra-, integral- or delay- differential equations that determine the temporal and steady state of the corresponding biological system.
On the basis of the mathematical model of abstract systems and system algebra, system theories have been embodied by a set of formal structures, properties, behaviors, and principles.
Three dimensional Lie algebra and optimal system of Lie algebras related to equation (1) were obtained.
The resulting integral equation together with the corresponding single-valued condition is approximated as a system of linear algebra equations, which can easily be solved.
The stress intensity factors and energy release rates at crack tips are further given in concise forms and numerically calculated by solving a system of linear algebra equations.
The system of lattice algebra plays a significant role in information theory [1], information retrieval [2], information access controls [3] and cryptanalysis [4].
The proposed method reduces the original problems to a system of linear algebra equations that can be solved easily by any usual numerical method.
The differential operational matrices of fractional order of the three-dimensional block-pulse functions are derived from one-dimensional block-pulse functions, which are used to reduce the original problem to solve a system of linear algebra equations.
and for the simplicity, we write a = (a1,a2,a3)∈R3; therefore, the adjoint action can be considered as a type of linear transformation group of vectors, so we have the following theorem: The one-dimensional optimal system of Lie algebra G Open image in new window for the KE equation is ( i ) v 1, ( ii ) a v 2 + b v 3. Open image in new window (14).
Firstly, we construct an optimal system to classify the group-invariant solutions of (3) and the problem of finding an optimal subgroup is equivalent to that of finding an optimal system of sub-algebras.
