Bespoke finite difference methods that preserve two local conservation laws of the modified KdV equation
classification
🧮 math.NA
cs.NA
keywords
conservationlawsdifferenceequationfinitelocalmethodsmodified
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By exploiting the fact that conservation laws form the kernel of a discrete Euler operator, we use a recently introduced symbolic-numeric approach to construct a new class of finite difference methods for the modified Korteweg-de Vries (mKdV) equation, that preserve the local conservation laws of mass and energy.
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