An Efficient Dissipation-Preserving Numerical Scheme to Solve a Caputo–Riesz Time-Space-Fractional Nonlinear Wave Equation

An Efficient Dissipation-Preserving Numerical Scheme to Solve a Caputo–Riesz Time-Space-Fractional Nonlinear Wave Equation

For the first time, a new dissipation-preserving scheme is proposed and analyzed to solve a Caputo–Riesz time-space-fractional multidimensional nonlinear wave equation with generalized potential. We consider initial conditions and impose homogeneous Dirichlet data on the boundary of a bounded hyper...

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Bibliographic Details
Main Authors: Jorge E. Macías-Díaz, Tassos Bountis
Format: Article
Language:English
Published: MDPI AG 2022-09-01
Series:Fractal and Fractional
Subjects:
Caputo–Riesz time-space-fractional system
generalized nonlinear wave equation
dissipative free-energy functional
dissipative finite-difference scheme
stability and convergence analysis
Online Access:https://www.mdpi.com/2504-3110/6/9/500

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https://www.mdpi.com/2504-3110/6/9/500

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