01068nam a22002057a 4500952012900000999001700129040003700146082001300183100003000196245008100226260003500307300003700342500014800379500004100527500009400568502006000662546001200722650012100734942000700855  00104071aRIUbRIUd2022-09-08eRiphah International Universityl0o510 ZULp69178r2022-09-08 00:00:00t1w2022-09-08yTH  c45964d45964  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 aMuhammad Zulfiqar (19870)  aReflection transmission analysis of sound waves in the membrane bounded duct  aIslamabadb(Unpublished)c2022  axv, 64 p.b: ill.c; 30 cm.e+CD  aSubmitted in partial fulfillment of the requirements for the degree of Master of Philosophy in Mathematics to the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  cTH