Numerical simulation methods and analysis for the dynamics of the time-fractional KdV equation

Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Partial differential equations of mathematical physics and other areas of application (35Qxx) Miscellaneous topics in partial differential equations (35Rxx)

Cites Work

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A new difference scheme for the time fractional diffusion equation
Time-fractional KdV equation: Formulation and solution using variational methods
An efficient difference scheme for time-fractional KdV equation
Interactions of fractional \(N\)-solitons with anomalous dispersions for the integrable combined fractional higher-order mKdV hierarchy
Second order difference schemes for time-fractional KdV-Burgers' equation with initial singularity
A finite difference scheme on graded meshes for time-fractional nonlinear Korteweg-de Vries equation
A high-order method with a temporal nonuniform mesh for a time-fractional Benjamin-Bona-Mahony equation
An explicit and numerical solutions of the fractional KdV equation
A new method for exact solutions of variant types of time-fractional Korteweg-de Vries equations in shallow water waves
Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
Numerical solution to a linearized time fractional KdV equation on unbounded domains
A Discrete Grönwall Inequality with Applications to Numerical Schemes for Subdiffusion Problems
Sharp Error Estimate of the Nonuniform L1 Formula for Linear Reaction-Subdiffusion Equations
Analysis of L1-Galerkin FEMs for Time-Fractional Nonlinear Parabolic Problems
A Second-Order Scheme with Nonuniform Time Steps for a Linear Reaction-Subdiffusion Problem
Compact Finite Difference Scheme for the Fourth-Order Fractional Subdiffusion System
Finite Difference Methods for Nonlinear Evolution Equations
Corrected \(L\)-type method for multi-singularity problems arising from delay fractional equations
Numerical method for generalized time fractional KdV‐type equation
A second order convergent difference scheme for the initial‐boundary value problem of Korteweg–de Vires equation

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