Numerical studies of the fractional Korteweg-de Vries, Korteweg-de Vries-Burgers' and Burgers' equations
DOI10.1007/s40010-020-00656-2zbMath1490.65223OpenAlexW3004369833MaRDI QIDQ2052242
Khaled M. Saad, Mohamed M. Khader
Publication date: 25 November 2021
Published in: Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40010-020-00656-2
KdV equations (Korteweg-de Vries equations) (35Q53) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)
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Cites Work
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- A hybrid numerical scheme for the numerical solution of the Burgers' equation
- A computational modeling of two dimensional reaction-diffusion Brusselator system arising in chemical processes
- A Haar wavelet quasilinearization approach for numerical simulation of Burgers' equation
- Numerical solution of two-dimensional reaction-diffusion Brusselator system
- On the numerical solutions for the fractional diffusion equation
- A numerical approach for solving the fractional Fisher equation using Chebyshev spectral collocation method
- Solving linear and nonlinear fractional diffusion and wave equations by Adomian decomposition
- A second-order accurate numerical method for the two-dimensional fractional diffusion equation
- The approximate and exact solutions of the space- and time-fractional Burgers equations with initial conditions by variational iteration method
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- An algorithm for the numerical solution of differential equations of fractional order
- Analytical study for time and time-space fractional Burgers' equation
- On the analysis of fractional diabetes model with exponential law
- An efficient computational approach for linear and nonlinear fractional differential equations
- A fractional epidemiological model for computer viruses pertaining to a new fractional derivative
- New fractional derivatives applied to the Korteweg-de Vries and Korteweg-de Vries-Burgers equations
- An efficient numerical algorithm for the fractional Drinfeld-Sokolov-Wilson equation
- A numerical scheme based on weighted average differential quadrature method for the numerical solution of Burgers' equation
- Numerical treatment for solving fractional SIRC model and influenza A
- Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
- Travelling wave solutions and proper solutions to the two-dimensional Burgers–Korteweg–de Vries equation
- A numerical study by using the Chebyshev collocation method for a problem of biological invasion: Fractional Fisher equation
- On travelling wave solutions of the Burgers–Korteweg–de Vries equation
- Finite element analysis and approximation of Burgers’‐Fisher equation
- On the local fractional wave equation in fractal strings
- A non-linear equation incorporating damping and dispersion
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