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Hybrid ·Peer-reviewed·ISSN (Online): 2169-012X·ISSN (Print): 0972-0502

Monthly Journal: Publishes the methodological and theoretical role of mathematics and mathematical applications underpinning scientific research.

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Open Access Research Article

Study of thermoelasticity mathematical modeling via the Adomian decomposition method

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pp. 1–18Online FirstApril 2026DOI: 10.47974/JIM-2424XML
Received:
02 Jun 2025
Published Online:
06 Apr 2026
Article type:
Research Article
Language:
EN
Article no.:
JIM-2424
Pages:
1–18

Abstract

This paper explores the mathematical modeling of thermoelastic stress in a perfectly clamped metallic rod using the Adomian Decomposition Method (ADM). The study focuses on formulating and solving the governing partial differential equations (PDEs) that describe the stress distribution within the rod when subjected to thermoelastic deformation. By employing ADM, we decompose these complex PDEs into a series of more manageable components, facilitating an analytical or semi-analytical solution without the need for linearization or perturbation techniques. This approach enhances computational efficiency while maintaining high accuracy in capturing the nonlinear behavior of thermoplastic stress. Furthermore, we examine the broader applicability of ADM in solving PDEs across various engineering and physical sciences domains, emphasizing its effectiveness in handling nonlinear problems and improving solution precision. 

Keywords

Subject Classifications

Primary 74F05Secondary 35K0535K5535A2265Mxx

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