Nonlinear Differential Equations for Heat Diffusion Analysis

Author(s)	Sonabai Dasarath Patil, Dr. Ram Govindrao Metkar
Country	India
Abstract	Heat diffusion is a critical phenomenon in various scientific and engineering disciplines, with applications ranging from material science to climate modeling. While linear heat conduction is well-established, many real-world scenarios require a nonlinear approach due to complex materials, temperature-dependent properties, and other physical phenomena. This paper discusses the role of nonlinear differential equations in heat diffusion analysis, exploring their formulation, solution techniques, and applications. We examine the impact of nonlinearities on heat transfer and illustrate the theoretical framework through examples. The paper concludes with a discussion on computational methods used to solve nonlinear heat equations and potential future research directions
Keywords	Nonlinear Differential Equations, Heat Diffusion problems
Field	Mathematics
Published In	Volume 16, Issue 2, April-June 2025
Published On	2025-06-20
DOI	https://doi.org/10.71097/IJSAT.v16.i2.6437
Short DOI	https://doi.org/g9qxdp

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