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EPSRC Reference: GR/K56827/01
Title: ANALYSIS OF BOUNDARY INTEGRAL EQUATIONS FOR A CLASS OF INHOMOGENEOUS AND NON LINEAR PDES
Principal Investigator: Amini, Professor S
Other Investigators:
Chen, Professor K
Researcher Co-Investigators:
Project Partners:
Department: Applied Discrete Mathematics (Res Cen)
Organisation: University of Salford
Scheme: Standard Research (Pre-FEC)
Starts: 06 November 1995 Ends: 05 November 1998 Value (£): 94,953
EPSRC Research Topic Classifications:
Numerical Analysis
EPSRC Industrial Sector Classifications:
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Panel History:  
Summary on Grant Application Form
Boundary integral methods provide an effective technique for the solution of a large class of linear partial differential equations. For an important class of inhomogeneous and nonlinear problems, applications of these classical boundary integral methods are no longer effective, due to the presence of domain integrals. New promising methods for obtaining boundary only integral equations have been attempted by the engineering community. However, little mathematical analysis has been established for these methods.In this project we propose to carry out a systematic study of these generalised boundary integral equations.The project is concerned with the analysis of dual reciprocity method based on approximation of the source terms by radial basis functions to yield boundary integral equations which are then discretised using wavelet functions.
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Organisation Website: http://www.salford.ac.uk