Universiti Teknologi Malaysia Institutional Repository

An integral equation method for solving neumann problems on simply and multiply connected regions with smooth boundaries

Mohamed Murid, Ali Hassan and Ismail, Munira and Nasser, Mohamed M. S. and Rahmat, Hamisan and Husin, Ummu Tasmin and Jumadi, Azlina and Ahmad Alejaily, Ejaily Milad and Sian, Chye Mie (2011) An integral equation method for solving neumann problems on simply and multiply connected regions with smooth boundaries. Project Report. Faculty of Science, Skudai, Johor. (Unpublished)

[img]
Preview
PDF (full text)
2219Kb

Abstract

This research presents several new boundary integral equations for the solution of Laplace’s equation with the Neumann boundary condition on both bounded and unbounded multiply connected regions. The integral equations are uniquely solvable Fredholm integral equations of the second kind with the generalized Neumann kernel. The complete discussion of the solvability of the integral equations is also presented. Numerical results obtained show the efficiency of the proposed method when the boundaries of the regions are sufficiently smooth.

Item Type:Monograph (Project Report)
Subjects:Q Science > QA Mathematics
Divisions:Science
ID Code:17881
Deposited By:INVALID USER
Deposited On:25 Nov 2011 08:50
Last Modified:25 Nov 2011 08:50

Repository Staff Only: item control page