Compact Finite Difference Schemes For Mixed Initial Boundary Value Problems
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Compact Finite Difference Schemes for Mixed Initial-boundary Value Problems
Author | : Richard B. Philips |
Publisher | : |
Total Pages | : 56 |
Release | : 1981 |
Genre | : Boundary value problems |
ISBN | : |
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"This paper discusses a class of compact second order accurate finite difference equations for mixed initial-boundary value problems for hyperbolic and convective-diffusion equations. Convergence is proved by means of an energy argument and both types of equations are solved by similar algorithms. For hyperbolic equations an extension of the Lax-Wendroff method is described which incorporates dissipative boundary conditions. Upwind-downwind differencing techniques arise as the formal hyperbolic limit of the convective-diffusion equation. Finally, a finite difference 'chain-rule' transforms the schemes from rectangular to quadrilateral subdomains" -- abstract.
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