Boundary regularized integral equation formulation of the Helmholtz equation in acoustics
Abstract
A boundary integral formulation for the solution of the Helmholtz equation is developed in which all traditional singular behaviour in the boundary integrals is removed analytically. The numerical precision of this approach is illustrated with calculation of the pressure field owing to radiating bodies in acoustic wave problems.
Collections
- Education [806]
Related items
Showing items related by title, author, creator and subject.
-
Applied Partial Differential Equations (3 ed.)
Logan, J. David (Springer, 2015)This text presents the standard material usually covered in a one-semester, undergraduate course on boundary value problems and PDEs. Emphasis is placed on motivation, concepts, methods, and interpretation, rather than ... -
A note on improved F-expansion method combined with Riccati equation applied to nonlinear evolution equations
Islam, Md. Shafiqul; Khan, Kamruzzaman; AKBar, M. Ali (2014)The purpose of this article is to present an analytical method, namely the improvedF-expansion method combined with the Riccati equation, for finding exact solutions of nonlinear evolution equations. The present method is ... -
A Short Course in Ordinary Differential Equations
Kong, Qingkai (Springer, 2014)This text is a rigorous treatment of the basic qualitative theory of ordinary differential equations, at the beginning graduate level. Designed as a flexible one-semester course but offering enough material for two semesters, ...