On the well-posedness of the hyperelastic rod equation
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چکیده
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Convergent numerical schemes for the compressible hyperelastic rod wave equation
Abstract We propose a fully discretised numerical scheme for the hyperelastic rod wave equation on the line. The convergence of the method is established. Moreover, the scheme can handle the blow-up of the derivative which naturally occurs for this equation. By using a time splitting integrator which preserves the invariants of the problem, we can also show that the scheme preserves the positiv...
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ژورنال
عنوان ژورنال: Annali di Matematica Pura ed Applicata (1923 -)
سال: 2018
ISSN: 0373-3114,1618-1891
DOI: 10.1007/s10231-018-0798-9