EFFICIENT NUMERICAL SOLUTION OF TWO-DIMENSIONAL TIME-SPACE FRACTIONAL NONLINEAR DIFFUSION-WAVE EQUATIONS WITH INITIAL SINGULARITY∗

EFFICIENT NUMERICAL SOLUTION OF TWO-DIMENSIONAL TIME-SPACE FRACTIONAL NONLINEAR DIFFUSION-WAVE EQUATIONS WITH INITIAL SINGULARITY∗

In this paper, we present an efficient linearized alternating direction implicit (ADI) scheme for two-dimensional time-space fractional nonlinear diffusion-wave equations with initial singularity. First, the original problem is equivalently transformed into its partial integro-differential form. The...

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Bibliographic Details
Main Authors: Elmahdi, E.G.M (Author), Huang, J. (Author)
Format: Article
Language:English
Published: Wilmington Scientific Publisher 2022
Subjects:
convergence
finite differescheme
Fractional nonlinear diffusion-wave equations
linearized ADI scheme
stability
Online Access:View Fulltext in Publisher

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