A multimodal framework for attenuation of piston and planar waves in impedance-lined ducts

• Abdulwahed Alrashdi,

  Roles Conceptualization, Formal analysis, Funding acquisition, Investigation, Methodology, Project administration, Resources, Software, Supervision, Validation, Visualization, Writing – original draft, Writing – review & editing

  Affiliation Department of Mathematics, College of Science, Jouf University, Sakaka, Saudi Arabia

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• Muhammad Safdar ,

  Roles Conceptualization, Formal analysis, Investigation, Methodology, Project administration, Resources, Software, Supervision, Validation, Visualization, Writing – original draft, Writing – review & editing

  * E-mail: msafdar.iiui@gmail.com

  Affiliation Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan

  https://orcid.org/0009-0007-1275-8774

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• Hafiza Umara Ismail,

  Roles Conceptualization, Formal analysis, Investigation, Methodology, Software, Validation, Visualization, Writing – original draft, Writing – review & editing

  Affiliation Department of Mathematics, Capital University of Science and Technology, Islamabad, Pakistan

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• Naif Alkuhayli

  Roles Conceptualization, Formal analysis, Funding acquisition, Investigation, Methodology, Project administration, Resources, Software, Supervision, Validation, Visualization, Writing – original draft, Writing – review & editing

  Affiliation Department of Mathematics, College of Science, Jouf University, Sakaka, Saudi Arabia

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