Optimal variational asymptotic method for nonlinear fractional partial differential equations

DOI10.1155/2014/847419zbMath1486.65216OpenAlexW2159130155WikidataQ42575325 ScholiaQ42575325MaRDI QIDQ1727813

Vipul K. Baranwal, Ram Krishna Pandey, Om Prakash Singh

Publication date: 21 February 2019

Published in: International Scholarly Research Notices. Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/847419

Mathematics Subject Classification ID

Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Fractional partial differential equations (35R11)

Cites Work

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• An analytic algorithm for time fractional nonlinear reaction-diffusion equation based on a new iterative method
• An analytic algorithm for the space-time fractional advection-dispersion equation
• Approximate solution of the fractional advection-dispersion equation
• Analytical methods for solving the time-fractional Swift-Hohenberg (S-H) equation
• Application of homotopy analysis method for fractional Swift Hohenberg equation -- revisited
• An optimal homotopy-analysis approach for strongly nonlinear differential equations
• An analytic solution for the space-time fractional advection-dispersion equation using the optimal homotopy asymptotic method
• Solving linear and nonlinear fractional diffusion and wave equations by Adomian decomposition
• Variational iteration method -- a kind of non-linear analytical technique: Some examples
• An algorithm for solving the fractional convection-diffusion equation with nonlinear source term
• Analytical and numerical results for the Swift-Hohenberg equation
• An approximation solution of a nonlinear equation with Riemann-Liouville's fractional derivatives by He's variational iteration method
• A review of the decomposition method in applied mathematics
• About the stochastic multiplicative Swift-Hohenberg equation: The eigenvalue problem
• Numerical scheme for Swift-Hohenberg equation with strict implementation of Lyapunov functional.
• Waiting-times and returns in high-frequency financial data: An empirical study
• Evidence for slow velocity relaxation in front propagation in Rayleigh-Bénard convection
• Large time behaviour of solutions of the Swift-Hohenberg equation
• Pattern selection of solutions of the Swift--Hohenberg equation
• Stochastic solution of space-time fractional diffusion equations
• Rigorous Numerics for Global Dynamics: A Study of the Swift--Hohenberg Equation
• The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics
• A new approach to solve a diffusion‐convection problem
• Solving nonlinear fractional partial differential equations using the homotopy analysis method
• Pattern formation outside of equilibrium
• The random walk's guide to anomalous diffusion: A fractional dynamics approach

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