Local radial basis function scheme for solving a class of fractional integro‐differential equations based on the use of mixed integral equations

DOI10.1002/zamm.201800236OpenAlexW2946174859MaRDI QIDQ6145907

Pouria Assari, Fatemeh Asadi-Mehregan

Publication date: 9 January 2024

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/zamm.201800236

zbMATH Keywords

meshless methodfractional integro-differential equationdiscrete collocation methodlocal radial basis functionmixed integral equation

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Fractional derivatives and integrals (26A33) Linear integral equations (45A05) Functional-differential equations with fractional derivatives (34K37)

Cites Work

• A new solution method for nonlinear fractional integro-differential equations
• Numerical algorithm for solving two-point, second-order periodic boundary value problems for mixed integro-differential equations
• A RBF-WENO finite volume method for hyperbolic conservation laws with the monotone polynomial interpolation method
• Numerical solution of nonlinear Volterra-Fredholm-Hammerstein integral equations via collocation method based on radial basis functions
• Radial basis function collocation method for the numerical solution of the two-dimensional transient nonlinear coupled Burgers equations
• A local radial basis function method for advection-diffusion-reaction equations on complexly shaped domains
• A Galerkin boundary node method for biharmonic problems
• 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
• Radial basis function ENO and WENO finite difference methods based on the optimization of shape parameters
• On the stability of the moving least squares approximation and the element-free Galerkin method
• Solution of fractional integro-differential equations by using fractional differential transform method
• Meshless Galerkin algorithms for boundary integral equations with moving least square approximations
• Approximate solution of fractional integro-differential equations by Taylor expansion method
• A meshless Galerkin method for Stokes problems using boundary integral equations
• Numerical solution of nonlinear Volterra integro-differential equations of arbitrary order by CAS wavelets
• The numerical solution of the non-linear integro-differential equations based on the meshless method
• Numerical methods for fourth-order fractional integro-differential equations
• Meshfree explicit local radial basis function collocation method for diffusion problems
• A meshless based method for solution of integral equations
• A Galerkin boundary node method and its convergence analysis
• Fractional generalized splines and signal processing
• Local radial basis function-based differential quadrature method and its application to solve two-dimensional incompressible Navier--Stokes equations
• Local multiquadric approximation for solving boundary value problems
• 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 local meshless method based on moving least squares and local radial basis functions
• Local radial basis function collocation method for solving thermo-driven fluid-flow problems with free surface
• Method of approximate particular solutions for constant- and variable-order fractional diffusion models
• Improved localized radial basis function collocation method for multi-dimensional convection-dominated problems
• The meshless local collocation method for solving multi-dimensional Cahn-Hilliard, Swift-Hohenberg and phase field crystal equations
• Implicit local radial basis function interpolations based on function values
• The element-free Galerkin method for the nonlinear \(p\)-Laplacian equation
• A generalized element-free Galerkin method for Stokes problem
• A meshless discrete collocation method for the numerical solution of singular-logarithmic boundary integral equations utilizing radial basis functions
• Numerical solution of the system of second-order boundary value problems using the local radial basis functions based differential quadrature collocation method
• 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
• Numerical solution of nonlinear fractional-order Volterra integro-differential equations by SCW
• A comparison of three explicit local meshless methods using radial basis functions
• Local radial basis function collocation method along with explicit time stepping for hyperbolic partial differential equations
• A new Bernoulli wavelet method for accurate solutions of nonlinear fuzzy Hammerstein-Volterra delay integral equations
• Boundary particle method for Laplace transformed time fractional diffusion equations
• Three-dimensional complex variable element-free Galerkin method
• A boundary-type meshless solver for transient heat conduction analysis of slender functionally graded materials with exponential variations
• An efficient method for solving systems of fractional integro-differential equations
• Numerical solution of fractional integro-differential equations by a hybrid collocation 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
• On choosing ``optimal shape parameters for RBF approximation
• A Legendre collocation method for fractional integro-differential equations
• Simulation of Natural Convection Influenced by MagneticField with Explicit Local Radial Basis FunctionCollocation Method
• Solution of a low Prandtl number natural convection benchmark by a local meshless method
• Local radial basis function collocation method for linear thermoelasticity in two dimensions
• Meshless local radial basis function collocation method for convective‐diffusive solid‐liquid phase change problems
• A Theoretical Basis for the Application of Fractional Calculus to Viscoelasticity
• Gauss-Type Quadratures for Weakly Singular Integrals and their Application to Fredholm Integral Equations of the Second Kind
• The Numerical Solution of Integral Equations of the Second Kind
• Radial Basis Functions
• On the numerical solution of Fredholm integral equations utilizing the local radial basis function method
• The Approximate Solutions of Fractional Volterra-Fredholm Integro-Differential Equations by using Analytical Techniques
• Some noises withI/fspectrum, a bridge between direct current and white noise
• Scattered Data Approximation
• Linear integral equations
• Compact finite difference method for integro-differential equations
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item