Using radial basis functions to solve two dimensional linear stochastic integral equations on non-rectangular domains

Engineering Analysis with Boundary Elements ◽

10.1016/j.enganabound.2017.12.017 ◽

2018 ◽

Vol 92 ◽

pp. 180-195 ◽

Author(s):

Farshid Mirzaee ◽

Nasrin Samadyar

Keyword(s):

Integral Equations ◽

Radial Basis Functions ◽

Stochastic Integral ◽

Basis Functions ◽

Two Dimensional ◽

Stochastic Integral Equations ◽

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Numerical solution of two-dimensional weakly singular stochastic integral equations on non-rectangular domains via radial basis functions

Engineering Analysis with Boundary Elements ◽

10.1016/j.enganabound.2018.12.008 ◽

2019 ◽

Vol 101 ◽

pp. 27-36 ◽

Author(s):

Nasrin Samadyar ◽

Farshid Mirzaee

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Radial Basis Functions ◽

Stochastic Integral ◽

Basis Functions ◽

Two Dimensional ◽

Weakly Singular ◽

Stochastic Integral Equations ◽

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The numerical solution of two-dimensional logarithmic integral equations on normal domains using radial basis functions with polynomial precision

Engineering With Computers ◽

10.1007/s00366-017-0502-5 ◽

2017 ◽

Vol 33 (4) ◽

pp. 853-870 ◽

Author(s):

Pouria Assari ◽

Mehdi Dehghan

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Radial Basis Functions ◽

Basis Functions ◽

Two Dimensional ◽

Radial Basis ◽

Logarithmic Integral

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Numerical solution of a class of mixed two-dimensional nonlinear Volterra–Fredholm integral equations using multiquadric radial basis functions

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2013.09.067 ◽

2014 ◽

Vol 260 ◽

pp. 173-179 ◽

Author(s):

H. Almasieh ◽

J. Nazari Meleh

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Radial Basis Functions ◽

Basis Functions ◽

Fredholm Integral Equations ◽

Two Dimensional ◽

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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

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2012.09.010 ◽

2013 ◽

Vol 239 ◽

pp. 72-92 ◽

Author(s):

Pouria Assari ◽

Hojatollah Adibi ◽

Mehdi Dehghan

Keyword(s):

Error Analysis ◽

Integral Equations ◽

Radial Basis Functions ◽

Meshless Method ◽

Basis Functions ◽

Two Dimensional ◽

Radial Basis ◽

Dimensional Integral

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Analysis and Solution of a Class of Nonlinear Two-Dimensional Volterra–Fredholm Integral Equations via Hybrid of Radial Basis Functions

Iranian Journal of Science and Technology Transactions A Science ◽

10.1007/s40995-017-0380-0 ◽

2017 ◽

Vol 43 (5) ◽

pp. 2253-2260 ◽

Author(s):

Khosrow Maleknejad ◽

Hossein Mohammadikia ◽

Jalil Rashidinia

Keyword(s):

Integral Equations ◽

Radial Basis Functions ◽

Basis Functions ◽

Fredholm Integral Equations ◽

Two Dimensional ◽

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The numerical solution of nonlinear two-dimensional Volterra–Fredholm integral equations of the second kind based on the radial basis functions approximation with error analysis

Applied Mathematics and Computation ◽

10.1016/j.amc.2016.08.055 ◽

2017 ◽

Vol 293 ◽

pp. 545-554 ◽

Author(s):

H. Laeli Dastjerdi ◽

M. Nili Ahmadabadi

Keyword(s):

Error Analysis ◽

Numerical Solution ◽

Integral Equations ◽

Radial Basis Functions ◽

Basis Functions ◽

Fredholm Integral Equations ◽

Two Dimensional ◽

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A meshless Galerkin scheme for the approximate solution of nonlinear logarithmic boundary integral equations utilizing radial basis functions

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2017.11.020 ◽

2018 ◽

Vol 333 ◽

pp. 362-381 ◽

Author(s):

Pouria Assari ◽

Mehdi Dehghan

Keyword(s):

Approximate Solution ◽

Integral Equations ◽

Radial Basis Functions ◽

Boundary Integral Equations ◽

Boundary Integral ◽

Basis Functions ◽

Galerkin Scheme ◽

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A finite volume method based on radial basis functions for two-dimensional nonlinear diffusion equations

Applied Mathematical Modelling ◽

10.1016/j.apm.2005.07.007 ◽

2006 ◽

Vol 30 (10) ◽

pp. 1118-1133 ◽

Author(s):

T.J. Moroney ◽

I.W. Turner

Keyword(s):

Finite Volume Method ◽

Radial Basis Functions ◽

Finite Volume ◽

Nonlinear Diffusion ◽

Basis Functions ◽

Diffusion Equations ◽

Two Dimensional ◽

Nonlinear Diffusion Equations ◽

Radial Basis ◽

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A meshless discrete collocation method for the numerical solution of singular-logarithmic boundary integral equations utilizing radial basis functions

Applied Mathematics and Computation ◽

10.1016/j.amc.2017.07.073 ◽

2017 ◽

Vol 315 ◽

pp. 424-444 ◽

Author(s):

Pouria Assari ◽

Mehdi Dehghan

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Collocation Method ◽

Radial Basis Functions ◽

Boundary Integral Equations ◽

Boundary Integral ◽

Basis Functions ◽

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A meshless method for the numerical solution of nonlinear weakly singular integral equations using radial basis functions

The European Physical Journal Plus ◽

10.1140/epjp/i2017-11467-y ◽

2017 ◽

Vol 132 (5) ◽

Author(s):

Pouria Assari ◽

Mehdi Dehghan

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Radial Basis Functions ◽

Singular Integral ◽

Meshless Method ◽

Singular Integral Equations ◽

Basis Functions ◽

Weakly Singular ◽

Radial Basis ◽

Weakly Singular Integral Equations

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