Improving variational iteration method with auxiliary parameter for nonlinear time-fractional partial differential equations
DOI10.1007/s10957-017-1127-yzbMath1376.65124OpenAlexW2651796390MaRDI QIDQ1673901
Onur Saldır, Mehmet Giyas Sakar
Publication date: 27 October 2017
Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10957-017-1127-y
optimizationnumerical exampleBurgers equationerror boundKorteweg-de Vries equationvariational iteration methodauxiliary parameterFornberg-Whitham equationCaputo-type derivativetime-fractional partial differential equation
KdV equations (Korteweg-de Vries equations) (35Q53) Fractional partial differential equations (35R11) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)
Related Items (6)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Fractional variational iteration method and its application
- Variational iteration method for the time-fractional Fornberg-Whitham equation
- Collocation methods for fractional integro-differential equations with weakly singular kernels
- A study on the convergence of variational iteration method
- On exact solutions of a class of fractional Euler-Lagrange equations
- A survey on existence results for boundary value problems of nonlinear fractional differential equations and inclusions
- The variational iteration method: an efficient scheme for handling fractional partial differential equations in fluid mechanics
- A piecewise variational iteration method for Riccati differential equations
- The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
- Solving nonlinear partial differential equations using the modified variational iteration Padé technique
- Toward a modified variational iteration method
- Partial differential equations and solitary waves theory
- An effective modification of He's variational iteration method
- Travelling wave solutions of the Fornberg-Whitham equation
- Variational iteration method for delay differential equations
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- An explicit and numerical solutions of some fifth-order KdV equation by decomposition method
- Variational iteration method for the Burgers' flow with fractional derivatives -- new Lagrange multipliers
- The homotopy analysis method for solving the time-fractional Fornberg-Whitham equation and comparison with Adomian's decomposition method
- Variational iteration method with an auxiliary parameter for solving wave-like and heat-like equations in large domains
- Alternative variational iteration method for solving the time-fractional Fornberg-Whitham equation
- Numerical solution of time-fractional nonlinear PDEs with proportional delays by homotopy perturbation method
- A novel compact numerical method for solving the two-dimensional non-linear fractional reaction-subdiffusion equation
- Solving a system of nonlinear fractional differential equations using Adomian decomposition
- Two finite difference schemes for time fractional diffusion-wave equation
- Method for solving nonlinear initial value problems by combining homotopy perturbation and reproducing kernel Hilbert space methods
- Spectral Methods
This page was built for publication: Improving variational iteration method with auxiliary parameter for nonlinear time-fractional partial differential equations