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What is Energy-Preserving AVF Schemes for Waves about?

This document presents the development and analysis of energy-preserving high-order average vector field (AVF) compact finite difference schemes for solving nonlinear wave equations with variable coefficients. The authors propose two schemes, AVF(2)-CFD and AVF(4)-CFD, which are shown to conserve energy and achieve high-order accuracy in both time and space. Numerical experiments validate the theoretical results, demonstrating the effectiveness of the proposed methods in simulating wave propagation in layer

Author

yasir.nawaz.maths

Language

EN