This article is cited in 1 paper

Partial Differential Equations

About one method for numerical solution of the Cauchy problem for singularly perturbed differential equations

D. A. Maslov

Moscow Power Engineering Institute, 111250, Moscow, Russia

Abstract: The paper proposes a new method for numerically solving nonlinear stiff problems, based on the numerical implementation of the method of holomorphic regularization of the Cauchy problem for singularly perturbed nonlinear differential equations.

Key words: singularly perturbed differential equation, Cauchy problem, stiffness, nonlinearity, method of holomorphic regularization, numerical solution.

UDC: 519.622

Received: 10.11.2023
Revised: 10.11.2023
Accepted: 14.01.2024

DOI: 10.31857/S0044466924050099

 English version: Computational Mathematics and Mathematical Physics, 2024, 64:5, 1029–1043

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