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- Title
A Boundary Integral Equation Formulation for Unsteady Anisotropic Modified Helmholtz Problems of Spatial Variable Coefficients.
- Authors
Azis, Moh. Ivan
- Abstract
In this paper a combined Laplace transform and boundary element method is used to solve numerically a class of variable coefficient unsteady modified Helmholtz equation. The variable coefficients equation is transformed to a constant coefficients equation. The constant coefficients equation after being Laplace transformed is then written in a boundary integral equation involving a time-free fundamental solution. The boundary-only integral equation is therefore employed to find the numerical solutions using a standard boundary element method. Finally, the results obtained are inversely transformed numerically using the Stehfest formula to get solutions in the time variable. Some problems of anisotropic exponentially graded media are considered. The results show that the combined Laplace transform and boundary element method is easy to implement and accurate.
- Subjects
INTEGRAL equations; BOUNDARY element methods; FUNCTIONALLY gradient materials; LAPLACE transformation
- Publication
IAENG International Journal of Applied Mathematics, 2021, Vol 51, Issue 4, p820
- ISSN
1992-9978
- Publication type
Article