MATHEMATICAL ANALYSIS USING PARTIAL DIFFERENTIAL EQUATIONS FOR NONLINEAR HEAT TRANSFER MODELS IN A HETEROGENEOUS MEDIUM

Far East Journal of Mathematical Sciences (FJMS) 2026 Open access

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Authors: Mariam Almahdi Mohammed Mu’lla
DOI: 10.17654/0972087126034
Cited by: 0

Abstract

The paper analyzes nonlinear heat transfer in a heterogeneous medium using nonlinear PDEs, showing how spatial variability affects diffusion, stability, and uniqueness. Analytical results (Sobolev spaces, energy estimates) are confirmed by finite-difference simulations, demonstrating strong sensitivity to heterogeneity and nonlinearity, with applications in composites, thermal systems, and environmental models.

Fields of Study & Subjects

Thermoelastic and Magnetoelastic Phenomena Advanced Numerical Methods in Computational Mathematics Heat and Mass Transfer in Porous Media

Publication details

Journal / source
Far East Journal of Mathematical Sciences (FJMS)
Volume
143
Issue
2
Pages
579–592
Publication date
6 January 2026