Numerical solution of distributed-order fractional Korteweg-de Vries equation via fractional zigzag rising diagonal functions
DOI10.1007/S11075-023-01664-0zbMATH Open1541.65126MaRDI QIDQ6543334
Hossein Aminikhah, M. Taghipour
Publication date: 24 May 2024
Published in: Numerical Algorithms (Search for Journal in Brave)
Integro-ordinary differential equations (45J05) KdV equations (Korteweg-de Vries equations) (35Q53) Fractional derivatives and integrals (26A33) Numerical methods for integral transforms (65R10) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Numerical quadrature and cubature formulas (65D32) Fractional partial differential equations (35R11)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Too much regularity may force too much uniqueness
- Generalized Taylor's formula
- Numerical solution of a class of two-dimensional nonlinear Volterra integral equations using Legendre polynomials
- \(\beta\)-robust superconvergent analysis of a finite element method for the distributed order time-fractional diffusion equation
- Fractional Romanovski-Jacobi tau method for time-fractional partial differential equations with nonsmooth solutions
- Shifted fractional Jacobi collocation method for solving fractional functional differential equations of variable order
- Fractional stochastic differential equations. Applications to Covid-19 modeling
- A fast collocation method for solving the weakly singular fractional integro-differential equation
- Stabilizer-free weak Galerkin finite element method with second-order accuracy in time for the time fractional diffusion equation
- Pell collocation method for solving the nonlinear time-fractional partial integro-differential equation with a weakly singular kernel
- Fractional calculus in the sky
- A finite difference scheme on graded meshes for time-fractional nonlinear Korteweg-de Vries equation
- Fractional calculus: D'où venons-nous? Que sommes-nous? Où allons-nous? (Contributions to Round Table Discussion held at ICFDA 2016)
- Fractional-order Genocchi-Petrov-Galerkin method for solving time-space fractional Fokker-Planck equations arising from the physical phenomenon
- High-order compact finite difference schemes for the time-fractional Black-Scholes model governing European options
- Applications of fractional calculus in physics
- Identification of Complex Order-distributions
- Spectral Methods for Time-Dependent Problems
- Fractional Partial Differential Equations and Their Numerical Solutions
- The Korteweg–deVries Equation: A Survey of Results
- New idea of Atangana‐Baleanu time‐fractional derivative to advection‐diffusion equation
- A higher‐order unconditionally stable scheme for the solution of fractional diffusion equation
- Numerical investigation with stability analysis of time‐fractional Korteweg‐de Vries equations
- Theory of Fractional Evolution Equations
- Fractional Derivative Modeling in Mechanics and Engineering
- A modified numerical algorithm based on fractional Euler functions for solving time-fractional partial differential equations
- Aθ-finite difference scheme based on cubic B-spline quasi-interpolation for the time fractional Cattaneo equation with Caputo–Fabrizio operator
- On a fractional distributed-order oscillator
- Numerical Solutions of Time Fractional Korteweg--de Vries Equation and Its Stability Analysis
- Weak Galerkin finite element method for a class of time fractional generalized Burgers' equation
- A numerical method for finding solution of the distributed‐order time‐fractional forced Korteweg–de Vries equation including the Caputo fractional derivative
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