A MESHLESS LOCAL GALERKIN METHOD FOR THE NUMERICAL SOLUTION OF HAMMERSTEIN INTEGRAL EQUATIONS BASED ON THE MOVING LEAST SQUARES TECHNIQUE

Pouria Assari;

doi:10.11948/2019.75

A MESHLESS LOCAL GALERKIN METHOD FOR THE NUMERICAL SOLUTION OF HAMMERSTEIN INTEGRAL EQUATIONS BASED ON THE MOVING LEAST SQUARES TECHNIQUE

Journal of Applied Analysis & Computation ◽

10.11948/2019.75 ◽

2019 ◽

Vol 9 (1) ◽

pp. 75-104 ◽

Cited By ~ 1

Author(s):

Pouria Assari ◽

Keyword(s):

Galerkin Method ◽

Numerical Solution ◽

Least Squares ◽

Integral Equations ◽

Moving Least Squares ◽

Hammerstein Integral Equations ◽

Local Galerkin Method

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A meshless local Galerkin method for solving Volterra integral equations deduced from nonlinear fractional differential equations using the moving least squares technique

Applied Numerical Mathematics ◽

10.1016/j.apnum.2019.04.014 ◽

2019 ◽

Vol 143 ◽

pp. 276-299 ◽

Cited By ~ 6

Author(s):

Pouria Assari ◽

Mehdi Dehghan

Keyword(s):

Differential Equations ◽

Galerkin Method ◽

Least Squares ◽

Integral Equations ◽

Fractional Differential Equations ◽

Volterra Integral Equations ◽

Moving Least Squares ◽

Nonlinear Fractional Differential Equations ◽

Fractional Differential ◽

Local Galerkin Method

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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

Numerical Algorithms ◽

10.1007/s11075-013-9800-1 ◽

2013 ◽

Vol 67 (2) ◽

pp. 423-455 ◽

Cited By ~ 32

Author(s):

Pouria Assari ◽

Hojatollah Adibi ◽

Mehdi Dehghan

Keyword(s):

Numerical Solution ◽

Least Squares ◽

Integral Equations ◽

Meshless Method ◽

Moving Least Squares ◽

Two Dimensional ◽

Nonlinear Integral Equations ◽

Mls Approximation

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The discrete collocation method for Fredholm–Hammerstein integral equations based on moving least squares method

International Journal of Computer Mathematics ◽

10.1080/00207160.2015.1046846 ◽

2015 ◽

Vol 93 (8) ◽

pp. 1347-1357 ◽

Cited By ~ 4

Author(s):

Hojatollah Laeli Dastjerdi ◽

Farid Mohammad Maalek Ghaini

Keyword(s):

Least Squares ◽

Integral Equations ◽

Collocation Method ◽

Least Squares Method ◽

Moving Least Squares ◽

Hammerstein Integral Equations ◽

Moving Least Squares Method

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Numerical solution of Fredholm-Hammerstein integral equations by using optimal homotopy asymptotic method and homotopy perturbation method

10.1063/1.4887570 ◽

2014 ◽

Cited By ~ 3

Author(s):

Mohammad Almousa ◽

Ahmad Izani Ismail

Keyword(s):

Perturbation Method ◽

Numerical Solution ◽

Integral Equations ◽

Asymptotic Method ◽

Homotopy Perturbation Method ◽

Hammerstein Integral Equations ◽

Homotopy Perturbation ◽

Optimal Homotopy Asymptotic Method

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Franklin Wavelet Galerkin Method (FWGM) for Numerical Solution of Two-Dimensional Fredholm Integral Equations

Mediterranean Journal of Mathematics ◽

10.1007/s00009-016-0777-6 ◽

2016 ◽

Vol 13 (6) ◽

pp. 4819-4828 ◽

Cited By ~ 4

Author(s):

Yaser Rostami ◽

Khosrow Maleknejad

Keyword(s):

Galerkin Method ◽

Numerical Solution ◽

Integral Equations ◽

Fredholm Integral Equations ◽

Two Dimensional ◽

Wavelet Galerkin Method

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Analysis of the complex moving least squares approximation and the associated element-free Galerkin method

Applied Mathematical Modelling ◽

10.1016/j.apm.2017.03.019 ◽

2017 ◽

Vol 47 ◽

pp. 45-62 ◽

Cited By ~ 44

Author(s):

Xiaolin Li ◽

Shuling Li

Keyword(s):

Galerkin Method ◽

Least Squares ◽

Moving Least Squares ◽

Least Squares Approximation ◽

Element Free Galerkin Method ◽

Element Free Galerkin ◽

Element Free ◽

Moving Least Squares Approximation

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Numerical solution of nonlinear Volterra–Fredholm–Hammerstein integral equations in two-dimensional spaces based on Block Pulse functions

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2016.12.028 ◽

2017 ◽

Vol 317 ◽

pp. 565-572 ◽

Cited By ~ 8

Author(s):

Jiaquan Xie ◽

Qingxue Huang ◽

Fuqiang Zhao

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Two Dimensional ◽

Hammerstein Integral Equations ◽

Block Pulse Functions

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Numerical solution of Hammerstein integral equations by using combination of spline-collocation method and Lagrange interpolation

Applied Mathematics and Computation ◽

10.1016/j.amc.2007.02.031 ◽

2007 ◽

Vol 190 (2) ◽

pp. 1557-1562 ◽

Cited By ~ 5

Author(s):

K. Maleknejad ◽

H. Derili

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Collocation Method ◽

Lagrange Interpolation ◽

Spline Collocation ◽

Spline Collocation Method ◽

Hammerstein Integral Equations

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A natural neighbour-based moving least-squares approach for the element-free Galerkin method

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.1956 ◽

2007 ◽

Vol 71 (2) ◽

pp. 224-252 ◽

Cited By ~ 10

Author(s):

Thomas Most

Keyword(s):

Galerkin Method ◽

Least Squares ◽

Moving Least Squares ◽

Element Free Galerkin Method ◽

Element Free Galerkin ◽

Element Free ◽

Least Squares Approach

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Numerical solution of nonlinear Hammerstein integral equations via Sinc collocation method based on double exponential transformation

Mathematical Sciences ◽

10.1186/2251-7456-7-30 ◽

2013 ◽

Vol 7 (1) ◽

pp. 30 ◽

Cited By ~ 1

Author(s):

Mohammad Ali Fariborzi Araghi ◽

Ghasem Kazemi Gelian

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Collocation Method ◽

Exponential Transformation ◽

Hammerstein Integral Equations ◽

Double Exponential Transformation ◽

Double Exponential

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