A NumericalInvestigation for a Class of Transient-State Variable Coefficient DCR Equations

نویسندگان

چکیده

In this paper, a combined Laplace transform (LT) and boundary element method (BEM) is used to find numerical solutions problems of anisotropic functionally graded media that are governed by the transient diffusion–convection–reaction equation. First, variable coefficient governing equation reduced constant Then, Laplace-transformed coefficients transformed into boundary-only integral Using BEM, in frame may then be obtained from inversely numerically back original time using Stehfest formula. The verified showing their accuracy steady state. For symmetric problems, symmetry also justified. Moreover, effects anisotropy inhomogeneity material on shown, suggest it important take account when performing experimental studies.

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ژورنال

عنوان ژورنال: Mathematics

سال: 2023

ISSN: ['2227-7390']

DOI: https://doi.org/10.3390/math11092091