A meshless local Galerkin method for solving Volterra integral equations deduced from nonlinear fractional differential equations using the moving least squares technique
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Publication:2311779
DOI10.1016/j.apnum.2019.04.014zbMath1417.65220OpenAlexW2943213757WikidataQ127958399 ScholiaQ127958399MaRDI QIDQ2311779
Publication date: 4 July 2019
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apnum.2019.04.014
Galerkin methodVolterra integral equationmoving least squaresmeshless methodfractional differential equation
Numerical methods for integral equations (65R20) Fractional derivatives and integrals (26A33) Volterra integral equations (45D05)
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Cites Work
- Unnamed Item
- Unnamed Item
- Numerical algorithm for solving two-point, second-order periodic boundary value problems for mixed integro-differential equations
- Numerical solution of nonlinear Fredholm integrodifferential equations of fractional order by using hybrid of block-pulse functions and Chebyshev polynomials
- Fractional variational iteration method and its application
- Numerical solution of nonlinear Volterra-Fredholm-Hammerstein integral equations via collocation method based on radial basis functions
- Solving fractional nonlinear Fredholm integro-differential equations by the second kind Chebyshev wavelet
- A Galerkin boundary node method for biharmonic problems
- A new Neumann series method for solving a family of local fractional Fredholm and Volterra integral equations
- A meshless method based on the moving least squares (MLS) approximation for the numerical solution of two-dimensional nonlinear integral equations of the second kind on non-rectangular domains
- Solving systems of fractional differential equations by homotopy-perturbation method
- Meshless Galerkin algorithms for boundary integral equations with moving least square approximations
- A meshless Galerkin method for Stokes problems using boundary integral equations
- Numerical methods for solving two-dimensional nonlinear integral equations of fractional order by using two-dimensional block pulse operational matrix
- Homotopy analysis method for fractional IVPs
- A CAS wavelet method for solving nonlinear Fredholm integro-differential equations of fractional order
- A finite difference method for fractional partial differential equation
- The numerical solution of the non-linear integro-differential equations based on the meshless method
- Solving fractional integral equations by the Haar wavelet method
- A meshless based method for solution of integral equations
- A Galerkin boundary node method and its convergence analysis
- Fractional generalized splines and signal processing
- A local boundary integral equation (LBIE) method in computational mechanics, and a meshless discretization approach
- A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics
- Numerical solution of fractional order differential equations by extrapolation
- An implementation of fast wavelet Galerkin methods for integral equations of the second kind
- Numerical solutions for second-kind Volterra integral equations by Galerkin methods.
- A semi-analytical collocation Trefftz scheme for solving multi-term time fractional diffusion-wave equations
- Method of approximate particular solutions for constant- and variable-order fractional diffusion models
- Radial basis functions methods for boundary value problems: performance comparison
- Using operational matrix of two-dimensional Bernstein polynomials for solving two-dimensional integral equations of fractional order
- A meshless discrete collocation method for the numerical solution of singular-logarithmic boundary integral equations utilizing radial basis functions
- A predictor-corrector approach for the numerical solution of fractional differential equations
- Long memory processes and fractional integration in econometrics
- A meshless method for solving nonlinear two-dimensional integral equations of the second kind on non-rectangular domains using radial basis functions with error analysis
- Local boundary integral equation (LBIE) method for solving problems of elasticity with nonhomogeneous material properties
- The method of approximate particular solutions for the time-fractional diffusion equation with a non-local boundary condition
- Fractional convolution quadrature based on generalized Adams methods
- Numerical solutions of integrodifferential equations of Fredholm operator type in the sense of the Atangana-Baleanu fractional operator
- Atangana-Baleanu fractional approach to the solutions of Bagley-Torvik and Painlevé equations in Hilbert space
- Boundary particle method for Laplace transformed time fractional diffusion equations
- A meshfree method for inverse wave propagation using collocation and radial basis functions
- Interpolating stabilized moving least squares (MLS) approximation for 2D elliptic interface problems
- A semi-analytic method for fractional-order ordinary differential equations: testing results
- Numerical solution of distributed order fractional differential equations by hybrid functions
- Solving a multi-order fractional differential equation using Adomian decomposition
- A moving least square reproducing polynomial meshless method
- The numerical solution of weakly singular integral equations based on the meshless product integration (MPI) method with error analysis
- Solving Fredholm integro-differential equations using reproducing kernel Hilbert space method
- Generalized differential transform method: Application to differential equations of fractional order
- Numerical solution of fractional integro-differential equations by collocation method
- Two new operational methods for solving a kind of fractional volterra integral equations
- Solution of nonlinear weakly singular Volterra integral equations using the fractional-order Legendre functions and pseudospectral method
- Numerical solution to the unsteady two-dimensional Schrödinger equation using meshless local boundary integral equation method
- A Theoretical Basis for the Application of Fractional Calculus to Viscoelasticity
- Fractional Linear Multistep Methods for Abel-Volterra Integral Equations of the Second Kind
- The Discrete Galerkin Method for Integral Equations
- Surfaces Generated by Moving Least Squares Methods
- Gauss-Type Quadratures for Weakly Singular Integrals and their Application to Fredholm Integral Equations of the Second Kind
- Element‐free Galerkin methods
- The Numerical Solution of Integral Equations of the Second Kind
- Numerical algorithm for solving time‐fractional partial integrodifferential equations subject to initial and Dirichlet boundary conditions
- Solutions of time‐fractional Tricomi and Keldysh equations of Dirichlet functions types in Hilbert space
- Some noises withI/fspectrum, a bridge between direct current and white noise
- The Numerical Evaluation of Fixed Points for Completely Continuous Operators
- Scattered Data Approximation
