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arXiv · 2604.05361

Mathematical analysis and symmetric fractional-order reduction method for diffusion-wave equations

Dakang Cen·Caixia Ou·Seakweng Vong
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Abstract

In this work, our aim is to introduce a symmetric fractional-order reduction (SFOR) method to develop numerical algorithms on nonuniform temporal meshes for fractional wave equations under lower regularity assumptions. The $L$-type methods--including $L1$ and $L2$-$1_\sigma$ schemes--are specifically designed for diffusion-wave equations, and we propose novel optimal parameter selections tailored to nonuniform meshes. Finally, several numerical experiments are conducted to validate the efficiency and accuracy of the algorithms.

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Dakang Cen, Caixia Ou, Seakweng Vong. 2026-04-07. Mathematical analysis and symmetric fractional-order reduction method for diffusion-wave equations. https://arxiv.org/abs/2604.05361

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