A numerical scheme using multi-shockpeakons to compute solutions of the Degasperis-Procesi equation
We consider a numerical scheme for entropy weak solutions of the DP (Degasperis-Procesi) equation $u_t - u_{xxt} + 4uu_x = 3u_{x}u_{xx}+ uu_{xxx}$. Multi-shockpeakons, functions of the form $$ u(x,t) =sum_{i=1}^n(m_i(t) -hbox{sign}(x-x_i(t))s_i(t))e^{-|x-x_i(t)|}, $$ are solutions of the DP...
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| Format: | Article |
| Language: | English |
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Texas State University
2007-07-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2007/100/abstr.html |