Numerical solution of fractional partial differential equations by using radial basis functions combined with Legendre wavelets
DOI10.22124/jmm.2020.16806.1459zbMath1488.65516OpenAlexW3047952390MaRDI QIDQ5855712
Parisa Rahimkhani, Yadollah Ordokhani
Publication date: 19 March 2021
Full work available at URL: https://jmm.guilan.ac.ir/article_4163_cf2d8fb51dcb3bbae07ade0a175d76a1.pdf
numerical methodradial basis functionsLegendre waveletsfractional partial differential equationsfractional integral operator
PDEs in connection with fluid mechanics (35Q35) Fractional derivatives and integrals (26A33) Numerical methods for wavelets (65T60) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Fractional partial differential equations (35R11) Numerical radial basis function approximation (65D12)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A novel expansion iterative method for solving linear partial differential equations of fractional order
- The numerical solution of Fokker-Planck equation with radial basis functions (RBFs) based on the meshless technique of Kansa's approach and Galerkin method
- A not-a-knot meshless method using radial basis functions and predictor-corrector scheme to the numerical solution of improved Boussinesq equation
- Interpolation of scattered data: distance matrices and conditionally positive definite functions
- Generalized differential transform method for solving a space- and time-fractional diffusion-wave equation
- Analytical method based on Walsh function combined with orthogonal polynomial for fractional transport equation
- Convergence and error estimates for meshless Galerkin methods
- Comparison between the homotopy perturbation method and the variational iteration method for linear fractional partial differential equations
- A numerical method for solution of the two-dimensional sine-Gordon equation using the radial basis functions
- A new operational matrix for solving fractional-order differential equations
- Convergence order estimates of meshless collocation methods using radial basis functions
- Generalizing the finite element method: Diffuse approximation and diffuse elements
- Error estimates for interpolation by compactly supported radial basis functions of minimal degree
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Homotopy perturbation transform method for solving fractional partial differential equations with proportional delay
- Meshless Galerkin method based on regions partitioned into subdomains
- Multiquadrics -- a scattered data approximation scheme with applications to computational fluid-dynamics. II: Solutions to parabolic, hyperbolic and elliptic partial differential equations
- Some recent results and proposals for the use of radial basis functions in the BEM
- Fractional-order Legendre-Laguerre functions and their applications in fractional partial differential equations
- Fractional-order Bernoulli functions and their applications in solving fractional Fredholem-Volterra integro-differential equations
- Fractional-order dynamical models of love
- Analytical solution of a time-fractional Navier-Stokes equation by Adomian decomposition method
- An explicit and numerical solutions of the fractional KdV equation
- Numerical solutions of fractional advection–diffusion equations with a kind of new generalized fractional derivative
- Numerical solutions of the space-time fractional advection-dispersion equation
- Local error estimates for radial basis function interpolation of scattered data
- Meshless Galerkin methods using radial basis functions
- A numerical scheme based on Bernoulli wavelets and collocation method for solving fractional partial differential equations with Dirichlet boundary conditions
- Generalized fractional-order Bernoulli–Legendre functions: an effective tool for solving two-dimensional fractional optimal control problems
- Finite difference scheme for the time-fractional Fokker–Planck equation with time- and space-dependent forcing
- Solving nonlinear fractional partial differential equations using the homotopy analysis method
- Numerical solution for a class of fractional convection–diffusion equations using the flatlet oblique multiwavelets
- Spectral Methods
- The dual reciprocity boundary integral equation technique to solve a class of the linear and nonlinear fractional partial differential equations
This page was built for publication: Numerical solution of fractional partial differential equations by using radial basis functions combined with Legendre wavelets
