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In Figures 1 and 2, we plot the error ((vert u(x_{i},t_{n} -u_{i}^{n} vert )) surface figures with different mesh sizes by taking (alpha=0.2),t_{n} -u_{i}tively.
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We consider the diffraction of an incident plane mode from a semi-infinite soft surface duct ((vert yvert < a), (x<0)) which has geometrical representation in Figure 1.
We have concluded that the inner soft surfaces provide an upper bound ((vert Rvert =1)) to reduce noise effects.
We assume that the flow is subsonic, that is, (vert Mvert <1) and (operatorname {Re}beta>0), which is a necessary condition for an absorbing surface [5].
For surfaces (M^2) of the Euclidean space (mathbb {E}^3), the Euler inequality (Gle Vert HVert ^2) is fulfilled, where G is the (intrinsic) Gauss curvature of (M^2) and (Vert HVert ^2) is the (extrinsic) squared mean curvature of (M^2).
For this BVP, neglecting the Mehler functions over the surface is equivalent to assuming (left. frac {partial {V r,theta,phi)}}{partial {theta }}right vert _{theta =theta _{0}}=0}.
N'est vert, n'est vert, n'est vert.
J. Vert.
Vert: Andy Macdonald.
You're a vert!
Vert: Dave Mirra, Greenville, N.C.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com