Exact Finite Difference Scheme for an Advection-Reaction Equation |
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| Authors: | Sandra Rucker |
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| Institution: | Department of Mathematical Sciences , Clark Atlanta University , Atlanta, GA, 30314, USA |
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| Abstract: | We construct an exact finite difference scheme for a non-linear PDE having linear advection and an odd-cubic reaction term. This construction is based on the fact that the general initial-value problem for the equation can be completely solved. We also give a detailed discussion of the mathematical structure of the exact finite difference equation. |
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| Keywords: | Exact Finite Difference Schemes Difference Equations Positivity Numerical Methods 39a10 39a12 65l12 65m06 |
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