Sentence examples for differential part of from inspiring English sources

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The potential considered in the paper is the same as the one in the Andersson model, however the differential part of the operator is different from the Laplace operator.

We solved the differential part of the decoupled system using o d e 23 t solver and we obtained good solutions as shown in Figure 8.

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In this work, it is shown that the coefficients of the differential part of the operator can be determined by using nodal points, and nodal points also give partial information about the integral part.

The explicitly calculated function allows us to estimate the second component of the stationary function ϕ 0 of the differential part of the Sturm-Liouville operator D π, − α p ( x ) C D 0, + α ϕ 0 ( x ) = 0, which looks as follows: ϕ 0 ( x ) = ξ 1 + ξ 2 I 0, + α ( π − x ) α − 1 Γ p ( x ) = ξ 1 + ξ 2 ψ ( α, 0, x ).

We then use the existing numerical integration methods to approximate the solutions of the differential part and the solutions of the algebraic parts are computed explicitly.

In fact, the dimension of the differential part is equal to the dimension of the finite spectrum of the matrix pencil ( E, A ). Thus, the stability of the solutions of the decoupled system is guaranteed.

We consider an elliptic random operator, which is the sum of the differential part and the potential.

This implies that the accuracy of the solutions of the decoupled system is determined by the numerical accuracy of the differential part.

This implies that σ f ( E, A ) = σ ( A p ). Thus the stability of the decoupled system (12a) and (12b) depends on the stability of the differential part.