00879nam a22001697a 4500040003700000082001300037100003000050245008100080260003500161300003700196500014800233500004100381500009400422502006000516546001200576650012100588  cRiphah International University   a510bZUL  aMuhammad Zulfiqar (19870)  aReflection transmission analysis of sound waves in the membrane bounded duct  aIslamabadb(Unpublished)c2022  axv, 64 p.b: ill.c; 30 cm.e+CD  aSubmitted in partial fulfillment of the requirements for the degree of Master of Philosophy in Mathematics to the Department of Basic Sciences.  aIncludes bibliographical references.  aThesis supervisor: Prof. Dr. Muhammad Afzal Rana
Thesis co-Supervisor: Dr. Sajid Shafique  aThesis (M.Phil.)--Riphah International University, 2022  aEnglish  aMathematicsvLinear sound wave equation vWave propagation formationvMode matching solutionvEnergy fluxvDBSvFEAS