Inclusion of hybrid nanoparticles in hyperbolic tangent material to explore thermal transportation via finite element approach engaging Cattaneo-Christov heat flux

• Umar Nazir,

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

  Affiliation Department of Applied Mathematics and Statistics, Institute of Space Technology, Islamabad, Pakistan

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• Muhammad Sohail ,

  Roles Conceptualization, Data curation, Formal analysis, Methodology, Software

  * E-mail: muhammad_sohail111@yahoo.com (MS); baak@hanyang.ac.kr (CP)

  Affiliation Department of Applied Mathematics and Statistics, Institute of Space Technology, Islamabad, Pakistan

  https://orcid.org/0000-0002-1490-0339

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• Hussam Alrabaiah,

  Roles Conceptualization, Data curation, Formal analysis, Investigation

  Affiliations College of Engineering, Al Ain University, Al Ain, United Arab Emirates, Department of Mathematics, Tafila Technical University, Tafila, Jordan

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• Mahmoud M. Selim,

  Roles Formal analysis, Funding acquisition, Resources

  Affiliations Department of Mathematics, Al-Aflaj College of Science and Humanities Studies, Prince Sattam Bin Abdulaziz University, Al-Aflaj, Saudi Arabia, Department of Mathematics, Suez Faculty of Science, Suez University, Suez, Egypt

  https://orcid.org/0000-0002-9727-4520

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• Phatiphat Thounthong,

  Roles Data curation, Funding acquisition, Software, Supervision, Writing – original draft, Writing – review & editing

  Affiliation Research Institute for Natural Sciences, Hanyang University, Seoul, Korea

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• Choonkil Park

  Roles Funding acquisition, Visualization

  * E-mail: muhammad_sohail111@yahoo.com (MS); baak@hanyang.ac.kr (CP)

  Affiliation Renewable Energy Research Centre, Department of Teacher Training in Electrical Engineering, Faculty of Technical Education, King Mongkut’s University of Technology North Bangkok, Bangkok, Thailand

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