TY - JOUR

T1 - Estimates for Taylor series method to polynomial total systems of PDEs

AU - Babadzanjanz, L. K.

AU - Pototskaya, I. Yu.

AU - Pupysheva, Yu. Yu.

PY - 2021

Y1 - 2021

N2 - Many of total systems of PDEs can be reduced to the polynomial form. As was shown by various authors, one of the best methods for the numerical solution of the initial value problem for ODE systems is the Taylor Series Method (TSM). In the article, the authors consider the Cauchy problem for the total polynomial PDE system, obtain the recurrence formulas for Taylor coefficients, and then formulate and prove a theorem on the accuracy of its solutions by TSM.

AB - Many of total systems of PDEs can be reduced to the polynomial form. As was shown by various authors, one of the best methods for the numerical solution of the initial value problem for ODE systems is the Taylor Series Method (TSM). In the article, the authors consider the Cauchy problem for the total polynomial PDE system, obtain the recurrence formulas for Taylor coefficients, and then formulate and prove a theorem on the accuracy of its solutions by TSM.

KW - Taylor Series Method

KW - total polynomial PDE system

KW - polynomial systems

KW - Numerical PDE system integration

UR - http://vestnik.spbu.ru/html21/s10/s10v1/03.pdf

UR - https://www.elibrary.ru/item.asp?id=45687746

M3 - Article

VL - 17

SP - 27

EP - 39

JO - ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. ПРИКЛАДНАЯ МАТЕМАТИКА. ИНФОРМАТИКА. ПРОЦЕССЫ УПРАВЛЕНИЯ

JF - ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. ПРИКЛАДНАЯ МАТЕМАТИКА. ИНФОРМАТИКА. ПРОЦЕССЫ УПРАВЛЕНИЯ

SN - 1811-9905

IS - 1

ER -