TY - JOUR
T1 - Estimate of Accuracy of Solution of the Nonlocal Fisher-Kolomogorov-Petrovskii-Piskunov Equation
AU - Levchenko, Evgeniy Anatolievich
AU - Trifonov, A. Yu
AU - Shapovalov, Aleksandr Vasilievich
PY - 2013/5/1
Y1 - 2013/5/1
N2 - The discrepancy of semiclassical asymptotics for the one-dimensional nonlocal Fisher-Kolmogorov-Petrovskii-Piskunov equation is investigated. It is shown that there exist values of the parameters of the system, for which the norm of the discrepancy is bounded and the accuracy of the asymptotic solution is preserved over the entire time interval, but also values of the parameters, for which the discrepancy tends to zero, and the asymptotic solution tends to the exact one.
AB - The discrepancy of semiclassical asymptotics for the one-dimensional nonlocal Fisher-Kolmogorov-Petrovskii-Piskunov equation is investigated. It is shown that there exist values of the parameters of the system, for which the norm of the discrepancy is bounded and the accuracy of the asymptotic solution is preserved over the entire time interval, but also values of the parameters, for which the discrepancy tends to zero, and the asymptotic solution tends to the exact one.
KW - discrepancy of the asymptotic solution
KW - Fisher-Kolmogorov-Petrovskii-Piskunov equation
KW - semiclassical asymptotics
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U2 - 10.1007/s11182-013-9976-9
DO - 10.1007/s11182-013-9976-9
M3 - Article
AN - SCOPUS:84884983734
VL - 55
SP - 1425
EP - 1433
JO - Russian Physics Journal
JF - Russian Physics Journal
SN - 1064-8887
IS - 12
ER -