00928nam a22001937a 4500 0 0 0 1 RIU RIU 2022-09-08 Riphah International University 0 510 ZUL 69178 2022-09-08 00:00:00 1 2022-09-08 TH 45964 45964 Riphah International University 510 ZUL Muhammad Zulfiqar (19870) Reflection transmission analysis of sound waves in the membrane bounded duct Islamabad (Unpublished) 2022 xv, 64 p. : ill. ; 30 cm. +CD Submitted in partial fulfillment of the requirements for the degree of Master of Philosophy in Mathematics to the Department of Basic Sciences. Includes bibliographical references. Thesis supervisor: Prof. Dr. Muhammad Afzal Rana Thesis co-Supervisor: Dr. Sajid Shafique Thesis (M.Phil.)--Riphah International University, 2022 English Mathematics Linear sound wave equation Wave propagation formation Mode matching solution Energy flux DBS FEAS TH