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Skew-Symmetric Difference Analogs of the Fourth-Order Approximation to the First Derivative. / Skazka, V. V.
в: Journal of Applied and Industrial Mathematics, Том 16, № 4, 2022, стр. 789-799.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - Skew-Symmetric Difference Analogs of the Fourth-Order Approximation to the First Derivative
AU - Skazka, V. V.
N1 - Публикация для корректировки.
PY - 2022
Y1 - 2022
N2 - Assume that we have an initial–boundary value problem for a system of first-orderhyperbolic equations that has an integral conservation law. One of the options for the numericalsolution of this kind of a problem is the construction of a difference scheme for spatial variables,followed by the solution of the resulting system of ordinary differential equations. For the stabilityof the solution of this ODE system, it is desirable that it has a first integral that is an analog ofthe conservation law for the original problem. An antisymmetric difference analog of the firstderivative of the fourth-order approximation is constructed for this purpose.
AB - Assume that we have an initial–boundary value problem for a system of first-orderhyperbolic equations that has an integral conservation law. One of the options for the numericalsolution of this kind of a problem is the construction of a difference scheme for spatial variables,followed by the solution of the resulting system of ordinary differential equations. For the stabilityof the solution of this ODE system, it is desirable that it has a first integral that is an analog ofthe conservation law for the original problem. An antisymmetric difference analog of the firstderivative of the fourth-order approximation is constructed for this purpose.
KW - finite difference approximation to derivative
KW - fourth-order approximation
KW - integral conservation law
UR - https://www.mendeley.com/catalogue/24edde3b-b237-3e12-85a0-301d1fe1df51/
U2 - 10.1134/S1990478922040184
DO - 10.1134/S1990478922040184
M3 - Article
VL - 16
SP - 789
EP - 799
JO - Journal of Applied and Industrial Mathematics
JF - Journal of Applied and Industrial Mathematics
SN - 1990-4789
IS - 4
ER -
ID: 55697710