An algorithm for solving an initial boundary value problem for a mixed-type equation with delayed argument
type: Item
instance of: scholarly article
title: An algorithm for solving an initial boundary value problem for a mixed-type equation with delayed argument
zbMATH Open document ID: 0940.35015
author: A. N. Zarubin
published in: Computational Mathematics and Mathematical Physics
publication date: 2000-06-19T00:00:00Z
review text: The Hellerstedt equation with delayed argument on a special domain is considered. The author has proposed a method for constructing an algorithm for calculating a regular solution to the initial boundary value problem for the model equation of the above equation \[ \operatorname {sgn}(y)|y|^m u_{xx}(x,y)+ u_{yy}(x,y)-|y|^m u(x-\tau,y)=0 \] in a special domain, here \(0< m\), \(\tau= \text{const}\). This algorithm is based on the method of integral equations and give us the recurrence formulas for calculating a regular solution to the formulated initial boundary value problem.
Mathematics Subject Classification ID: 35A35
Mathematics Subject Classification ID: 35M10
Mathematics Subject Classification ID: 45E05
zbMATH DE Number: 1440454
zbMATH Keywords: Hellerstedt equation
zbMATH Keywords: initial boundary value problem
zbMATH Keywords: delayed argument
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1440454