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Mathematical Problems in Engineering
Volume 2015 (2015), Article ID 914207, 9 pages
http://dx.doi.org/10.1155/2015/914207
Research Article

Use of Finite Point Method for Wave Propagation in Nonhomogeneous Unbounded Domains

Department of Civil Engineering, EMU, Famagusta, Northern Cyprus, Mersin 10, Turkey

Received 21 July 2014; Revised 16 January 2015; Accepted 9 February 2015

Academic Editor: Hung Nguyen-Xuan

Copyright © 2015 S. Moazam et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Wave propagation in an unbounded domain surrounding the stimulation resource is one of the important issues for engineers. Past literature is mainly concentrated on the modelling and estimation of the wave propagation in partially layered, homogeneous, and unbounded domains with harmonic properties. In this study, a new approach based on the Finite Point Method (FPM) has been introduced to analyze and solve the problems of wave propagation in any nonhomogeneous unbounded domain. The proposed method has the ability to use the domain properties by coordinate as an input. Therefore, there is no restriction in the form of the domain properties, such as being periodical as in the case of existing similar numerical methods. The proposed method can model the boundary points between phases with trace of errors and the results of this method satisfy both conditions of decay and radiation.