The variational iteration method for solving Riesz fractional partial differential equations
From MaRDI portal
Publication:623118
DOI10.1016/j.camwa.2010.07.027zbMath1205.65287OpenAlexW2067622555MaRDI QIDQ623118
Publication date: 13 February 2011
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2010.07.027
Integro-partial differential equations (45K05) Fractional derivatives and integrals (26A33) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99)
Related Items (20)
Numerical solutions for systems of fractional order differential equations with Bernoulli wavelets ⋮ A new computational for approximate analytical solutions of nonlinear time-fractional wave-like equations with variable coefficients ⋮ Stability and convergence of a new finite volume method for a two-sided space-fractional diffusion equation ⋮ New iterative method for the solution of fractional damped Burger and fractional Sharma-Tasso-Olver equations ⋮ Similarity solutions for multiterm time-fractional diffusion equation ⋮ Numerical and analytical solutions of new generalized fractional diffusion equation ⋮ Approximate solution of space and time fractional higher order phase field equation ⋮ Semianalytic solution of space-time fractional diffusion equation ⋮ Fractional differential quadrature techniques for fractional order Cauchy reaction‐diffusion equations ⋮ Approximation properties of residual neural networks for fractional differential equations ⋮ Homotopy analysis method for space‐time fractional differential equations ⋮ Homotopy analysis method for solving a class of fractional partial differential equations ⋮ A finite element approximation for a class of Caputo time-fractional diffusion equations ⋮ Approximation methods for solving fractional equations ⋮ An accurate approximate-analytical technique for solving time-fractional partial differential equations ⋮ Linear fractional differential equations and eigenfunctions of fractional differential operators ⋮ Numerical treatment of the generalized time-fractional Huxley-Burgers' equation and its stability examination ⋮ Caputo-Riesz-Feller fractional wave equation: analytic and approximate solutions and their continuation ⋮ Analytical-numeric formulas for the probability density function of multivariate stable and geo-stable distributions ⋮ A Galerkin FEM for Riesz space-fractional CNLS
Cites Work
- Unnamed Item
- Unnamed Item
- The approximate and exact solutions of the space- and time-fractional Burgers equations with initial conditions by variational iteration method
- Fractal scaling of fractional diffusion processes
- Fully discrete random walks for space-time fractional diffusion equations
- Numerical methods for fractional partial differential equations with Riesz space fractional derivatives
- Numerical approach to differential equations of fractional order
- Variational iteration method for fractional heat- and wave-like equations
- Stability and convergence of a new explicit finite-difference approximation for the variable-order nonlinear fractional diffusion equation
- Analytical solution of a fractional diffusion equation by variational iteration method
- Numerical treatment of an initial-boundary value problem for fractional partial differential equations
- Variational iteration method for delay differential equations
- Approximate analytical solution for seepage flow with fractional derivatives in porous media
- Variational iteration method for solving wave equation
- Fractional dynamics of systems with long-range interaction
- An iteration formulation for normalized diode characteristics
- Application of a variational iteration method to linear and nonlinear viscoelastic models with fractional derivatives
- Variational iteration method for autonomous ordinary differential systems
This page was built for publication: The variational iteration method for solving Riesz fractional partial differential equations
