A meshfree method based on the radial basis functions for solution of two-dimensional fractional evolution equation
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Publication:1654831
DOI10.1016/j.enganabound.2015.06.009zbMath1403.65088OpenAlexW1175881707MaRDI QIDQ1654831
Sayna Heydari Bateni, Ali Zaghian, Hadi Roohani Ghehsareh
Publication date: 9 August 2018
Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.enganabound.2015.06.009
Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Fractional partial differential equations (35R11)
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Uses Software
Cites Work
- Convergence analysis of general spectral methods
- An implicit RBF meshless approach for time fractional diffusion equations
- Combination of meshless local weak and strong (MLWS) forms to solve the two-dimensional hyperbolic telegraph equation
- Numerical simulation of two-dimensional combustion using mesh-free methods
- A comparison study of meshfree techniques for solving the two-dimensional linear hyperbolic telegraph equation
- The numerical solution of Fokker-Planck equation with radial basis functions (RBFs) based on the meshless technique of Kansa's approach and Galerkin method
- Comparison of meshless local weak and strong forms based on particular solutions for a non-classical 2-D diffusion model
- A RBF meshless approach for modeling a fractal mobile/immobile transport model
- A not-a-knot meshless method using radial basis functions and predictor-corrector scheme to the numerical solution of improved Boussinesq equation
- Multiquadrics - a scattered data approximation scheme with applications to computational fluid-dynamics. I: Surface approximations and partial derivative estimates
- Numerical simulation of two-dimensional sine-Gordon solitons via a local weak meshless technique based on the radial point interpolation method (RPIM)
- Finite element approximation for a modified anomalous subdiffusion equation
- Fractional derivatives for physicists and engineers. Volume I: Background and theory. Volume II: Applications
- Recent history of fractional calculus
- Comparison between two common collocation approaches based on radial basis functions for the case of heat transfer equations arising in porous medium
- Fractional diffusion equations by the Kansa method
- An approximation solution of a nonlinear equation with Riemann-Liouville's fractional derivatives by He's variational iteration method
- An integrodifferential equation for rigid heat conductors with memory
- A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics
- Regularization tools: A Matlab package for analysis and solution of discrete ill-posed problems
- On the optimal shape parameters of radial basis functions used for 2-D meshless methods
- Meshless local Petrov-Galerkin (MLPG) method for three-dimensional nonlinear wave equations via moving least squares approximation
- An implicit RBF meshless approach for solving the time fractional nonlinear sine-Gordon and Klein-Gordon equations
- The numerical solution of Cahn-Hilliard (CH) equation in one, two and three-dimensions via globally radial basis functions (GRBFs) and RBFs-differential quadrature (RBFs-DQ) methods
- Group analysis and exact solutions of the time fractional Fokker-Planck equation
- Numerical solution of the system of second-order boundary value problems using the local radial basis functions based differential quadrature collocation method
- A new spectral meshless radial point interpolation (SMRPI) method: a well-behaved alternative to the meshless weak forms
- Multiquadrics -- a scattered data approximation scheme with applications to computational fluid-dynamics. II: Solutions to parabolic, hyperbolic and elliptic partial differential equations
- On unsymmetric collocation by radial basis functions
- Results on meshless collocation techniques
- A meshfree weak-strong (MWS) form method for the unsteady magnetohydrodynamic (MHD) flow in pipe with arbitrary wall conductivity
- A radial basis functions method for fractional diffusion equations
- Alternating direction implicit-Euler method for the two-dimensional fractional evolution equation
- Numerical solution of fractional telegraph equation by using radial basis functions
- Solution of two-dimensional modified anomalous fractional sub-diffusion equation via radial basis functions (RBF) meshless method
- Analysis of meshless local radial point interpolation (MLRPI) on a nonlinear partial integro-differential equation arising in population dynamics
- A meshfree method for the solution of two-dimensional cubic nonlinear Schrödinger equation
- A meshfree radial point interpolation method (RPIM) for three-dimensional solids
- The use of a meshless technique based on collocation and radial basis functions for solving the time fractional nonlinear Schrödinger equation arising in quantum mechanics
- Meshless simulations of the two-dimensional fractional-time convection-diffusion-reaction equations
- Numerical analysis of a mathematical model for capillary formation in tumor angiogenesis using a meshfree method based on the radial basis function
- A general theory of heat conduction with finite wave speeds
- Lectures on viscoelasticity theory
- On convergence of homotopy analysis method and its application to fractional integro-differential equations
- Time-dependent fractional advection-diffusion equations by an implicit MLS meshless method
- A Meshless Method Using Radial Basis Functions for the Numerical Solution of Two-Dimensional Complex Ginzburg-Landau Equation
- Numerical Solutions of the Symmetric Regularized Long Wave Equation Using Radial Basis Functions
- Discretized Fractional Calculus
- Solitary wave solutions of the MRLW equation using radial basis functions
- An advanced implicit meshless approach for the non-linear anomalous subdiffusion equation
- Linear approximation of transfer function with a pole of fractional power
- A Difference Scheme for a Nonlinear Partial Integrodifferential Equation
- A Numerical Method for a Partial Integro-Differential Equation
- Generalized Cross-Validation as a Method for Choosing a Good Ridge Parameter
- Numerical solution of an evolution equation with a positive-type memory term
- Radial Basis Functions
- Advances on Fractional Inequalities
- Radial basis functions method for numerical solution of the modified equal width equation
- Scattered Data Approximation
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