caa a22 4500 397572514 CHVBK 20180308164845.0 cr unu---uuuuu 161202e199608 xx s 000 0 eng 10.1093/qjmam/49.3.419 doi (NATIONALLICENCE)oxford-10.1093/qjmam/49.3.419 COMPARISON OF A STEP APPROXIMATION TO AN EXACT SOLUTION OF ACOUSTIC SCATTERING IN A UNIFORM-WIDTH PIPE WITH NON-UNIFORM WALL IMPEDANCE [Elektronische Daten] [M. FERNYHOUGH, D.V. EVANS] The scattering of an incident sound wave along a uniform-width pipe with non-uniform wall impedance is considered using linear acoustic theory. Two methods are employed; first a step approximation is obtained by discretizing the wall-impedance boundary condition into a finite number of sections each having a constant wall-impedance, and secondly for a particular form of wall-impedance an exact solution is derived by reducing the problem to a solution of a functional difference equation. Comparison of both solutions shows that the approximate method provides a simple, accurate and computationally efficient solution © Oxford University Press Article nationallicence FERNYHOUGH M. School of Mathematics, University of Bristol, Bristol BS8 1TW aut EVANS D.V. School of Mathematics, University of Bristol, Bristol BS8 1TW aut The Quarterly Journal of Mechanics and Applied Mathematics Oxford University Press 49/3(1996-08), 419-437 0033-5614 49:3<419 1996 49 qjmamj https://doi.org/10.1093/qjmam/49.3.419 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1093/qjmam/49.3.419 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- FERNYHOUGH M. School of Mathematics, University of Bristol, Bristol BS8 1TW aut NATIONALLICENCE 700 1- EVANS D.V. School of Mathematics, University of Bristol, Bristol BS8 1TW aut NATIONALLICENCE 773 0- The Quarterly Journal of Mechanics and Applied Mathematics Oxford University Press 49/3(1996-08), 419-437 0033-5614 49:3<419 1996 49 qjmamj Metadata rights reserved CC BY-NC-4.0 http://creativecommons.org/licenses/by-nc/4.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-oxford