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To solve the formulated boundary value problem, the technique of Hankel's integral transformation is used.
Solving the boundary value problem the natural frequencies and the mode shape functions are found.
However, for a typical manifold of a boundary value problem, the loop runs only a couple of times.
By forming a Dirichlet boundary value problem, the proposed method is applicable to both structured and unstructured grids.
Solving a boundary value problem, the probability of conversion can be found as a function of the apparent kinetic parameter.
As compared with the conventional four-line boundary value problem, the six-line boundary value problem is quite hard to be dealt with.
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For boundary value problems, the Gauss-Lobatto points are commonly used.
Although more complete data are needed to model better this initial-boundary value problem, the present results are consistent with both the salient features of the gel assay and recent observations reported in the literature that cells often introduce regional variations in tissue properties in vivo in an attempt to achieve, maintain, or restore mechanical homeostasis.
They also extended the results to the initial boundary value problem of the corresponding parabolic equation.
Consider the viscosity solution to the initial boundary value problem of the diffusion equation.
It is shown that the boundary value problem and the boundary integral equation are equivalent.
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CEO of Professional Science Editing for Scientists @ prosciediting.com