A boundary-only element method for 2D unsteady diffusion convection reaction problems of trigonometrically graded anisotropic materials. Issue 6 (2nd November 2022)

• Record Type: Journal Article
• Authors: Azis, Moh. Ivan
• Is Part Of: International journal for computational methods in engineering science and mechanics. Volume 23:Issue 6(2022)
• Page Start: 475
• Page End: 486
• Publication Date: 2022-11-02
• Subjects: Anisotropic functionally graded materials (FGMs) -- unsteady diffusion convection reaction (DCR) equation -- Laplace transform (LT) -- boundary element method (BEM) -- incompressible flow; 65N38; Engineering -- Data processing -- Periodicals; Engineering mathematics -- Periodicals; Computer-aided engineering -- Periodicals; 620.00420285
• DOI: 10.1080/15502287.2021.2002974
• Languages: English
• ISSNs: 1550-2287

Abstract

Abstract: A diffusion convection reaction (DCR) problem for anisotropic functionally graded materials (FGMs) is discussed in this paper to find numerical solutions by using a combined Laplace transform (LT) and boundary element method (BEM). The variable coefficients equation is transformed to a constant coefficients equation which is then Laplace-transformed so that the time variable vanishes. A purely boundary integral equation involving a time-free fundamental solution can then be derived and employed to find numerical solutions using a BEM. The results obtained are inversely transformed numerically using the Stehfest formula. The combined LT-BEM is easy to implement, efficient and accurate for solving numerically the problems.