A Multiple-Scale Space–Time Collocation Trefftz Method for Two-Dimensional Wave Equations

This paper presents a semi-analytical, mesh-free space–time Collocation Trefftz Method (SCTM) for solving two-dimensional (2D) wave equations. Given prescribed initial and boundary data, collocation points are placed on the space–time (ST) boundary, reformulating the initial value problem as an equi...

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Bibliographic Details

Published in:	Mathematics
Main Authors:	Li-Dan Hong, Chen-Yu Zhang, Weichung Yeih, Cheng-Yu Ku, Xi He, Chang-Kai Lu
Format:	Article
Language:	English
Published:	MDPI AG 2025-09-01
Subjects:	space–time Trefftz basis function semi-analytical meshless method wave equation multiple-scale characteristic length
Online Access:	https://www.mdpi.com/2227-7390/13/17/2831