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IMA Journal of Numerical Analysis 1991 11(2):261-270; doi:10.1093/imanum/11.2.261
© 1991 by Institute of Mathematics and its Applications
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High-Order Finite-Differences Schemes to Solve Poisson's Equation in Polar Coordinates

R. C. MITTAL and S. GAHLAUT

Department of Mathematics, University of Roorkee Roorkee-247 667

In the present work finite difference schemes of second and fourth order are derived for the solution of Poisson's equation in polar coordinates. To solve the resulting system of linear equations, a direct method similar to Hockney's method is developed. The schemes are tested on six test problems whose exact solutions are known. The numerical results obtained by these finite-difference schemes show that they produce very accurate results.


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