Convergence of the lines method for first‐order partial differential‐functional equations

Barbara Zubik‐Kowal

doi:10.1002/num.1690100310

Convergence of the lines method for first‐order partial differential‐functional equations

Barbara Zubik‐Kowal

Mathematics Department

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

Initial‐boundary value problems for nonlinear differential‐functional equations are considered. A general class of lines method is investigated. The Perron‐type estimation for the right‐hand side of the equation with respect to the functional argument is assumed. The proof of the convergence is based on a comparison theorem for differential‐difference inequalities. A numerical example is given. © 1994 John Wiley & Sons, Inc.

Original language	English
Pages (from-to)	395-409
Number of pages	15
Journal	Numerical Methods for Partial Differential Equations
Volume	10
Issue number	3
DOIs	https://doi.org/10.1002/num.1690100310
State	Published - May 1994

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title = "Convergence of the lines method for first‐order partial differential‐functional equations",

abstract = "Initial‐boundary value problems for nonlinear differential‐functional equations are considered. A general class of lines method is investigated. The Perron‐type estimation for the right‐hand side of the equation with respect to the functional argument is assumed. The proof of the convergence is based on a comparison theorem for differential‐difference inequalities. A numerical example is given. {\textcopyright} 1994 John Wiley & Sons, Inc.",

author = "Barbara Zubik‐Kowal",

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AB - Initial‐boundary value problems for nonlinear differential‐functional equations are considered. A general class of lines method is investigated. The Perron‐type estimation for the right‐hand side of the equation with respect to the functional argument is assumed. The proof of the convergence is based on a comparison theorem for differential‐difference inequalities. A numerical example is given. © 1994 John Wiley & Sons, Inc.

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SP - 395

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JO - Numerical Methods for Partial Differential Equations

JF - Numerical Methods for Partial Differential Equations

IS - 3

ER -

Convergence of the lines method for first‐order partial differential‐functional equations

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