Integrating Semilinear Wave Problems with Time-Dependent Boundary Values Using Arbitrarily High-Order Splitting Methods

Integrating Semilinear Wave Problems with Time-Dependent Boundary Values Using Arbitrarily High-Order Splitting Methods

The initial boundary-value problem associated to a semilinear wave equation with time-dependent boundary values was approximated by using the method of lines. Time integration is achieved by means of an explicit time method obtained from an arbitrarily high-order splitting scheme. We propose a techn...

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Bibliographic Details
Main Authors: Isaías Alonso-Mallo, Ana M. Portillo
Format: Article
Language:English
Published: MDPI AG 2021-05-01
Series:Mathematics
Subjects:
splitting methods
method of lines
initial boundary-value problem
consistency
convergence
Online Access:https://www.mdpi.com/2227-7390/9/10/1113

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