Sentence examples for problem the initial from inspiring English sources

To determine the complete solution to this type of problem, the initial temperature distribution along the rod and the manner in which the temperature at the ends of the rod is changing must also be known.

While the member grouping strategy is adopted to reduce the size of the problem, the initial population strategy is applied to reduce the number of search to reach the optimum design in the solution space.

In the case of the first Cauchy problem, the initial value of a sought-for function is prescribed.

To address this problem, the initial values of the lower (lb a ) and upper (ub a ) boundaries for the coefficients a j were changed.

For this problem, the initial condition is given by: U ( x, 0 ) = ∑ j = 1 2 A j sec h ( p j [ x − x j ] ), Open image in new window (26).

In the case of the second Cauchy problem, the initial value of the time derivative of a sought-for function is prescribed, and for the corresponding fundamental solution we have (4.1).

If (k=0) the problem becomes the initial value problem and for (k=1) the problem will be called a two-point boundary value problem.

In the analogous two- and three-dimensional problems, the initial temperature distribution throughout the region must be known, as well as the temperature distribution along the boundary from moment to moment.

Although its mandate covers several transboundary plant pest problems, the initial focus of the EMPRES plant pests component has been on desert locusts.

Factor the second portion of the problem after the initial questions problem (the 25 from the example above).

Then the desired stochastic representations are obtained for boundary value problems, initial boundary value problems, and the initial value problems, respectively.