NUMERICAL APPROACHES TO TIME FRACTIONAL BOUSSINESQ–BURGERS EQUATIONS
DOI10.1142/S0218348X21502443zbMath1506.35201OpenAlexW3193890197MaRDI QIDQ5082103
Publication date: 15 June 2022
Published in: Fractals (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0218348x21502443
homotopy perturbation methodfractional complex transformhomotopy perturbation transform methodtime fractional Boussinesq-Burgers equation
PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53) Fractional derivatives and integrals (26A33) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Perturbations in context of PDEs (35B20) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Fractional partial differential equations (35R11)
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Cites Work
- Unnamed Item
- A comparative study on the analytic solutions of fractional coupled sine-Gordon equations by using two reliable methods
- Two analytical methods for time-fractional nonlinear coupled Boussinesq-Burger's equations arise in propagation of shallow water waves
- The first integral method for some time fractional differential equations
- A tutorial review on fractal spacetime and fractional calculus
- Fractional Dirac operators and deformed field theory on Clifford algebra
- Fractional complex transform for fractional differential equations
- On the coupling of the homotopy perturbation method and Laplace transformation
- Assessment of two analytical approaches in some nonlinear problems arising in engineering sciences
- On soliton solutions for Boussinesq-Burgers equations
- Variational iteration method -- a kind of non-linear analytical technique: Some examples
- Fractional differential equations in electrochemistry
- Variational iteration method for delay differential equations
- On the homotopy analysis method for nonlinear problems.
- A new analytical modelling for fractional telegraph equation via Laplace transform
- Comparison between homotopy perturbation method and optimal homotopy asymptotic method for the soliton solutions of Boussinesq-Burger equations
- A multigrid method for linear systems arising from time-dependent two-dimensional space-fractional diffusion equations
- A new computational approach for solving nonlinear local fractional PDEs
- Chaotic phenomena and fractional-order dynamics in the trajectory control of redundant manipulators
- Homotopy perturbation technique
- Path integral formulation of fractionally perturbed Lagrangian oscillators on fractal
- A study of behaviour for immune and tumor cells in immunogenetic tumour model with non-singular fractional derivative
- Chaotic behaviour of fractional predator-prey dynamical system
- Lie symmetry analysis, exact solutions and conservation laws for the time fractional Caudrey-Dodd-Gibbon-Sawada-Kotera equation
- Fractional transform methods for coupled system of time fractional derivatives of non-homogeneous Burgers' equations arise in diffusive effects
- CTE method to the interaction solutions of Boussinesq-Burgers equations
- On invariant analysis of some time fractional nonlinear systems of partial differential equations. I
- Design of Optimum Systems of Viscoelastic Vibration Absorbers for a Given Material Based on the Fractional Calculus Model
- Homotopy perturbation method for numerical solutions of coupled Burgers equations with time‐ and space‐fractional derivatives
- Finite-band solutions of the classical Boussinesq–Burgers equations
- A NEW PERSPECTIVE ON THE STUDY OF THE FRACTAL COUPLED BOUSSINESQ–BURGER EQUATION IN SHALLOW WATER
- A NOVEL APPROACH FOR FRACTAL BURGERS–BBM EQUATION AND ITS VARIATIONAL PRINCIPLE
- On a new fractional uncertainty relation and its implications in quantum mechanics and molecular physics
- A study of fractional Lotka‐Volterra population model using Haar wavelet and Adams‐Bashforth‐Moulton methods
- VARIATIONAL PRINCIPLE FOR A GENERALIZED KdV EQUATION IN A FRACTAL SPACE
- An analysis for heat equations arises in diffusion process using new Yang‐Abdel‐Aty‐Cattani fractional operator
- Higher-order homotopy perturbation method for conservative nonlinear oscillators generally and microelectromechanical systems’ oscillators particularly
- Fractional Order PDαJoint Control of Legged Robots
- The random walk's guide to anomalous diffusion: A fractional dynamics approach
- Generalized heat diffusion equations with variable coefficients and their fractalization from the Black-Scholes equation