So, if care is taken to reflect properly the properties of the differential equations in their discretization, attention can often be concentrated on the solution of the linear equation systems.
Next we make a linear equation on the force as unknown variables using dynamics equations of separated serial manipulators, and solve the equations to get the force.
The functions u, v are determined as solutions of the second initial boundary value problem for the linear equation of heat conduction (the details are omitted).
This linear system can be reduced to a full rank linear equation system, where only the base parameters of the model independently determining the dynamic behavior of the system appear.
This inhomogeneous linear equation may be solved by standard methods.
The day of incubation was calculated with the linear equation and was accurate within + 1.64 days for 2002 and + 1.03 days for 2003 nests.
Beyond its theoretical value, the relation is a simple linear equation and can be used to facilitate computations.
Perturbation methods are applied to the basic equations of flow to obtain a linear equation governing the stream function of the perturbation.
