DOAJ Open Access 2022

High-Order Dissipation-Preserving Methods for Nonlinear Fractional Generalized Wave Equations

Yu Li Wei Shan Yanming Zhang

Abstrak

In this paper, we construct and analyze a class of high-order and dissipation-preserving schemes for the nonlinear space fractional generalized wave equations by the newly introduced scalar auxiliary variable (SAV) technique. The system is discretized by a fourth-order Riesz fractional difference operator in spatial discretization and the collocation methods in the temporal direction. Not only can the present method achieve fourth-order accuracy in the spatial direction and arbitrarily high-order accuracy in the temporal direction, but it also has long-time computing stability. Then, the unconditional discrete energy dissipation law of the present numerical schemes is proved. Finally, some numerical experiments are provided to certify the efficiency and the structure-preserving properties of the proposed schemes.

Topik & Kata Kunci

Thermodynamics Mathematics Analysis

Penulis (3)

Yu Li

Wei Shan

Yanming Zhang

Format Sitasi

APA MLA BibTeX

Li, Y., Shan, W., Zhang, Y. (2022). High-Order Dissipation-Preserving Methods for Nonlinear Fractional Generalized Wave Equations. https://doi.org/10.3390/fractalfract6050264

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Informasi Jurnal

Tahun Terbit: 2022
Sumber Database: DOAJ
DOI: 10.3390/fractalfract6050264
Akses: Open Access ✓