APPROXIMATE SOLUTION OF A POLYLINEAR PARABOLIC EQUATION

Nadejda Spirina; I. Sapronov; S. Venevitina

doi:10.58168/OpEq2025_225-231

Home / Conferences / OPERATOR EQUATIONS AND SOME RELATED ISSUES IN APPLIED MATHEMATICS / OPERATOR EQUATIONS AND SOME RELATED ISSUES IN APPLIED MATHEMATICS : Materials of the International Open Conference, Voronezh, April 21-23, 2025

UDC

517.982.22

APPROXIMATE SOLUTION OF A POLYLINEAR PARABOLIC EQUATION

Section: GENERAL SECTION

Proceedings: OPERATOR EQUATIONS AND SOME RELATED ISSUES IN APPLIED MATHEMATICS : Materials of the International Open Conference, Voronezh, April 21-23, 2025

Nadejda Spirina ¹

I. Sapronov ²

S. Venevitina ³

Authors:

1. Voronezh State University of Forestry and Technologies named after G.F. Morozov

2. Voronezh State University of Forestry and Technologies named after G.F. Morozov
Russian Federation

3. Voronezh State University of Forestry and Technologies named after G.F. Morozov
Russian Federation

Type:

Conference article

DOI:

https://doi.org/10.58168/OpEq2025_225-231

Pages:

from 225 to 231

Published:

30.12.2025

Subject area:

UDC 517.982.22

Language:

Russian

Keywords:

Banach space, linear operator, Cauchy problem, Tonelli's method

Abstract:
The convergence of Tonelli's method for solving the Cauchy problem for an abstract semilinear parabolic equation is analyzed. The error estimates of the method are provided.

Keywords:
Banach space, linear operator, Cauchy problem, Tonelli's method

1. Filippov L.F. Differencial'nye uravneniya s razryvnoy pravoy chast'yu. – M.: Nauka, 2020. – 224 s.

Confirmation