A numerical method for solving linear integral equations of the second kind on the non-rectangular domains based on the meshless method
DOI10.1016/j.apm.2013.04.047zbMath1427.65415OpenAlexW2043660059MaRDI QIDQ1792029
Mehdi Dehghan, Pouria Assari, Hojatollah Adibi
Publication date: 11 October 2018
Published in: Applied Mathematical Modelling (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apm.2013.04.047
two-dimensional Fredholm integral equationerror analysismeshless methodradial basis function (RBF)mixed Volterra-Fredholm integral equationnon-rectangular domain
Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) Fredholm integral equations (45B05) Volterra integral equations (45D05)
Related Items (26)
Cites Work
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- The solitary wave solution of coupled Klein-Gordon-Zakharov equations via two different numerical methods
- Numerical solution of Fredholm integral equations of the second kind by using integral mean value theorem. II: High dimensional problems
- Numerical solution of nonlinear Volterra-Fredholm-Hammerstein integral equations via collocation method based on radial basis functions
- A method for solving partial differential equations via radial basis functions: application to the heat equation
- On a method for solving a two-dimensional nonlinear integral equation of the second kind
- Multiquadrics - a scattered data approximation scheme with applications to computational fluid-dynamics. I: Surface approximations and partial derivative estimates
- Solving nonlinear mixed Volterra-Fredholm integral equations with two dimensional block-pulse functions using direct method
- Numerical methods for Fredholm integral equations on the square
- Numerical solution of nonlinear two-dimensional integral equations using rationalized Haar functions
- Numerical solution of the two-dimensional Fredholm integral equations using Gaussian radial basis function
- Thresholds and travelling waves for the geographical spread of infection
- On the solution of the non-local parabolic partial differential equations via radial basis functions
- A numerical method for KdV equation using collocation and radial basis functions
- A numerical method for solution of the two-dimensional sine-Gordon equation using the radial basis functions
- A meshless based method for solution of integral equations
- Solving a system of nonlinear integral equations by an RBF network
- A fast numerical solution method for two dimensional Fredholm integral equations of the second kind
- On mixed Volterra-Fredholm type integral equations
- Continuous time collocation methods for Volterra-Fredholm integral equations
- A survey of numerical methods for solving nonlinear integral equations
- A model for the spatial spread of an epidemic
- An efficient numerical scheme for Burger equation
- Asymptotic expansion for the trapezoidal Nyström method of linear Volterra-Fredholm equations
- Numerical solution of the system of second-order boundary value problems using the local radial basis functions based differential quadrature collocation method
- Multiquadrics -- a scattered data approximation scheme with applications to computational fluid-dynamics. II: Solutions to parabolic, hyperbolic and elliptic partial differential equations
- On a method of solving two-dimensional integral equations of axisymmetric contact problems for bodies with complex rheology
- On the use of boundary conditions for variational formulations arising in financial mathematics.
- A reliable treatment for mixed Volterra-Fredholm integral equations
- 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
- A new computational method for Volterra-Fredholm integral equations
- Radial basis function networks in the numerical solution of linear integro-differential equations
- Numerical solution of the nonlinear Fredholm integral equations by positive definite functions
- Numerical solution of the nonlinear Klein-Gordon equation using radial basis functions
- On choosing ``optimal shape parameters for RBF approximation
- Numerical solution of the second kind integral equations using radial basis function networks
- An efficient numerical approximation for the linear class of mixed integral equations
- Numerical Solution of Two-Dimensional Integral Equations Using Linear Elements
- An electromagnetic integral equation: Application to microtearing modes
- A COMPUTATIONAL METHOD FOR SOLVING TWO-DIMENSIONAL LINEAR FREDHOLM INTEGRAL EQUATIONS OF THE SECOND KIND
- Piecewise Continuous Collocation for Integral Equations
- A Discrete Collocation-Type Method for Hammerstein Equations
- Projection and Iterated Projection Methods for Nonlinear Integral equations
- On the Discrete Galerkin Method for Fredholm Integral Equations of the Second Kind
- Scattered Data Interpolation: Tests of Some Method
- A Collocation Method for Fredholm Integral Equations of the Second Kind
- A numerical method for heat transfer problems using collocation and radial basis functions
- The Numerical Solution of Integral Equations of the Second Kind
- Radial Basis Functions
- Exponential convergence andH-c multiquadric collocation method for partial differential equations
- A New Collocation-Type Method for Hammerstein Integral Equations
- Collocation Methods for Volterra Integral and Related Functional Differential Equations
- Two-dimensional Legendre Wavelets Method for the Mixed Volterra-Fredholm Integral Equations
- A two-dimensional singular integral equation of diffraction theory
- Scattered Data Approximation
- Linear integral equations
- Extrapolation of Nyström solution for two dimensional nonlinear Fredholm integral equations
- Richardson extrapolation of iterated discrete Galerkin solution for two-dimensional Fredholm integral equations
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