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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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.
|Uncontrolled Keywords:||Riemann problem, Fredholm integral equation.|
|Subjects:||Q Science > QA Mathematics|
|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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