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Volume 1, Issue 4, October 2021

Original Research


Mathematical Modelling of Additive Manufacturing Processes

Hardik Joshi . Brajesh Kumar Jha

Hardik Joshi, Department of Mathematics, L J Institute of Engineering and Technology, L J University, Ahmedabad-382210, India, Email: hardik.joshi8185@gmail.com, Brajesh Kumar Jha, Department of Mathematics, School of Technology, Pandit Deendayal Energy University, Gandhinagar-382007, India, Email: brajeshjha2881@gmail.com

Received in final form on August 22, 2021

Abstract
Additive manufacturing (AM) is a marvellous technique to deal with complex objects by computer-controlled. AM has been widely used in functional models, prototype patterns, production of parts, motor vehicles, medical, aerospace, engineering, and so on. The crucial part in the development of AM is a mathematical model that provides the heat transfer strategy, structure, and material behaviour in the metals. The goal of this study is to apply a fractional diffusion model that is broadly used in the various application of AM. The diffusion model is solved by the Adomian decomposition method (ADM) to investigate the impact of fractional order on heat transfer in a material.


Keywords
Additive manufacturing, Fractional diffusion model, Adomian decomposition method, Mittag-Leffler function.


Cite This Article
Hardik Joshi, Brajesh Kumar Jha, Mathematical Modelling of Additive Manufacturing Processes,J. Innovation Sciences and Sustainable Technologies, 1(4)(2021),297-305. https://doie.org/10.0608/JISST.2022952656


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