University of GuilanJournal of Mathematical Modeling2345-394X11420231201Numerical simulation for unsteady Helmholtz problems of anisotropic FGMs617630685410.22124/jmm.2023.24002.2144ENMohammad IvanAzisDepartment of Mathematics, Faculty of Mathematics and Natural Sciences, Hasanuddin University, Makassar, IndonesiaJournal Article20230301The unsteady Helmholtz type equation of anisotropic functionally graded materials (FGMs) is considered in this study. The study is to find numerical solutions to initial boundary value problems governed by the equation. A combined Laplace and boundary element method is used to solve the problems. The analysis derives a boundary-only integral equation that is used to compute the numerical solutions. The analysis also results in another class of anisotropic FGMs of applications. Some problems are considered. The numerical solutions obtained are accurate and consistent.https://jmm.guilan.ac.ir/article_6854_8852f3bbbe2d0375895466480c471037.pdf