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Solving Riemann problem using Fredholm integral equation of the second kind

Murid, Ali H.M. and Razali, Mohd. R.M and Nasser, Mohamed M.S. (2002) Solving Riemann problem using Fredholm integral equation of the second kind. Prosiding Simposium Kebangsaan Sains Matematik Ke-10 Jabatan Matematik Fakulti Sains Universiti Teknologi Malaysia dan Persatuan Sains Matematik Malaysia . pp. 171-178.

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Abstract

To solve Riemann problem on a simply connected region, its boundary condition is transformed to a Fredholm integral equation of the second kind with continuous kernel, which is easily solved numerically. The numerical solution must satisfy an addition condition to yield a solution to the Riemann problem. The advantage of this approach is that we can solve Riemann problem for general simply connected region without the need to use conformal mapping. Some numerical implementations are presented.

Item Type:Article
Uncontrolled Keywords:Riemann problem, Fredholm integral equation.
Subjects:Q Science > QA Mathematics
Divisions:Science
ID Code:3857
Deposited By: Assoc. Prof. Dr. Ali Hassan Mohamed Murid
Deposited On:28 Jun 2007 02:49
Last Modified:29 Jun 2007 01:54

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