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The resultant ordinary equations were then solved using the spectral relaxation method.
For every positive integer, let, consider the following ordinary equations with initial data in : (217).
In Russia, the works on singularly perturbed ordinary equations are concerned by boundary function method [2 5].
This set of ordinary equations were then solved using the spectral local linearization method together with the successive relaxation method.
By separately treating the different orders, we obtain differential and ordinary equations for the Θ and Π variables.
Namely, for a two-dimensional system of ordinary equations and a particular case of boundary conditions we get the following.
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Case 3. When, the general elliptic equation is reduced to the auxiliary ordinary equation [7] (2.16).
The model is described by three ordinary differential equations (ODEs), Equations 1-3 (see Methods).
Equations 2– 5 are ordinary differential equations representing the conjugation process.
The derived mathematical model is based on ordinary differential equations and algebraic equations for equilibrium conditions.
The sample paths are described by stochastic ordinary differential equations, referred to as Langevin equations.
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