An LT-BEM for an unsteady diffusion-convection problem of another class of anisotropic FGMs. Issue 3 (4th March 2022)

• Record Type: Journal Article
• Authors: Azis, Moh. Ivan; Abbaszadeh, Mostafa; Dehghan, Mehdi
• Is Part Of: International journal of computer mathematics. Volume 99:Issue 3(2022)
• Page Start: 575
• Page End: 590
• Publication Date: 2022-03-04
• Subjects: Variable coefficients -- anisotropic functionally graded materials -- unsteady diffusion-convection equation -- Laplace transform -- boundary element method; 65N38 -- 35K51 -- 44A10 -- 35N10; Computers -- Periodicals; Numerical analysis -- Periodicals; Automation -- Periodicals; 004.0151
• DOI: 10.1080/00207160.2021.1925258
• Languages: English
• ISSNs: 0020-7160

Abstract

Abstract : An LT-BEM is used to find numerical solutions to an unsteady variable coefficients diffusion-convection equation governing problems of another class of anisotropic functionally graded media. A boundary-only integral equation is derived, following a transformation of the variable coefficients equation to a constant coefficients equation. The boundary-only integral equation is used to find the numerical solutions. Some problems considered are those for several new types of functionally graded materials of compressible or incompressible flow. The effects of the anisotropy and inhomogeneity of the considered materials on the solutions are also shown as to say that it is very important to take the anisotropy and inhomogeneity into account in experimental or practical studies for any applications.