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Therefore, our interest in the present paper is studying the difference scheme equation (24) by numerical experiments.
To formulate the classical CIP scheme, equation (2.4) was used to get the values of (u_{i}^{prime n}).
Actually, we can verify that if eliminating the constrained condition (36) according to the Tu scheme, equation (35) is just equivalent to equation (8).
Theorem 1 Let Σ be a heteroclinic cycle for f ∈ X I between hyperbolic equilibria { x i : i = 1, …, p } with connection scheme Equation 7. 1.
The kinetic scheme, Equation (2), for consecutive irreversible reactions can be described by the following rate equations [34]: d R d / dt = k 1 R d ≡ J d Open image in new window (3) dR / dt = − kR − kR Open image in new window (4) d R a / dt = k 2 R m ≡ J a, Open image in new window (5).
The grade given was based on quality criteria important for experiment records such as the clarity and correctness of language and nomenclature, reaction scheme equation completeness and balancing, completeness and accuracy of the experiment procedure, and discussion of results, together with elements important for education such as understanding of the topic.
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This enables us to solve the original implicit scheme equations explicitly.
In order to select the appropriate value of η, we start with an initial guess, which is relatively small, and solve the governing SRM scheme equations over [ 0, η ∞ ] to obtain the solutions of flow parameters f , g and ϕη.
There are two basic model generation schemes, equation based and simulation based (Figure 1).
Equation 21 can be discretized in space by Crank-Nicolson scheme, and Equation 23 can be solved exactly.
Standard scheme (pressure equation) and Second order upwind scheme (momentum and energy equations) as discretization schemes.
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