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High-order difference schemes for two-dimensional elliptic equations (1985)

Gupta, Murli M. ; Manohar, Ram P. ; Stephenson, John W.

New York, NY [u.a.] : Wiley-Blackwell

Numerical Methods for Partial Differential Equations 1 (1985), S. 71-80

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ISSN: 0749-159X

Keywords: Mathematics and Statistics ; Numerical Methods

Source: Wiley InterScience Backfile Collection 1832-2000

Topics: Mathematics

Notes: A high-order finite-difference approximation is proposed for numerical solution of linear or quasilinear elliptic differential equation. The approximation is defined on a square mesh stencil using nine node points and has a truncation error of order h4. Several test problems, including one modeling convection-dominated flows, are solved using this and existing methods. The results clearly exhibit the superiority of the new approximation, in terms of both accuracy and computational efficiency.

Additional Material: 4 Tab.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1002/num.1690010108

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