A numerical solution of nonlinear parabolic-type Volterra partial integro-differential equations using radial basis functions

Z. Avazzadeh; Z. Beygi Rizi; F.M. Maalek Ghaini; G.B. Loghmani

doi:10.1016/j.enganabound.2011.09.013

A numerical solution of nonlinear parabolic-type Volterra partial integro-differential equations using radial basis functions

Engineering Analysis with Boundary Elements ◽

10.1016/j.enganabound.2011.09.013 ◽

2012 ◽

Vol 36 (5) ◽

pp. 881-893 ◽

Cited By ~ 14

Author(s):

Z. Avazzadeh ◽

Z. Beygi Rizi ◽

F.M. Maalek Ghaini ◽

G.B. Loghmani

Keyword(s):

Differential Equations ◽

Numerical Solution ◽

Radial Basis Functions ◽

Parabolic Type ◽

Basis Functions ◽

Nonlinear Parabolic ◽

Radial Basis

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On the numerical solution of fractional stochastic integro-differential equations via meshless discrete collocation method based on radial basis functions

Engineering Analysis with Boundary Elements ◽

10.1016/j.enganabound.2018.05.006 ◽

2019 ◽

Vol 100 ◽

pp. 246-255 ◽

Cited By ~ 19

Author(s):

Farshid Mirzaee ◽

Nasrin Samadyar

Keyword(s):

Differential Equations ◽

Numerical Solution ◽

Collocation Method ◽

Radial Basis Functions ◽

Basis Functions ◽

Radial Basis

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Numerical solution of stochastic elliptic partial differential equations using the meshless method of radial basis functions

Engineering Analysis with Boundary Elements ◽

10.1016/j.enganabound.2014.08.013 ◽

2015 ◽

Vol 50 ◽

pp. 291-303 ◽

Cited By ~ 20

Author(s):

Mehdi Dehghan ◽

Mohammad Shirzadi

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Numerical Solution ◽

Radial Basis Functions ◽

Meshless Method ◽

Elliptic Partial Differential Equations ◽

Basis Functions ◽

Partial Differential ◽

Radial Basis

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Numerical solution using radial basis functions for multidimensional fractional partial differential equations of type Black–Scholes

Computational and Applied Mathematics ◽

10.1007/s40314-021-01634-z ◽

2021 ◽

Vol 40 (7) ◽

Author(s):

A. Torres-Hernandez ◽

F. Brambila-Paz ◽

C. Torres-Martínez

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Numerical Solution ◽

Radial Basis Functions ◽

Basis Functions ◽

Fractional Partial Differential Equations ◽

Partial Differential ◽

Black Scholes ◽

Radial Basis

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On the acceleration of the numerical solution of partial differential equations using radial basis functions and graphics processing units

International Journal of Numerical Modelling Electronic Networks Devices and Fields ◽

10.1002/jnm.1837 ◽

2012 ◽

Vol 26 (4) ◽

pp. 415-423 ◽

Cited By ~ 1

Author(s):

W. Elliott Hutchcraft ◽

Maxwell Woolsey ◽

Richard K. Gordon

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Numerical Solution ◽

Radial Basis Functions ◽

Graphics Processing Units ◽

Basis Functions ◽

Partial Differential ◽

Radial Basis ◽

Graphics Processing

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Solving partial differential equations by meshless methods using radial basis functions

Applied Mathematics and Computation ◽

10.1016/j.amc.2006.07.057 ◽

2007 ◽

Vol 185 (1) ◽

pp. 614-627 ◽

Cited By ~ 15

Author(s):

Yunxin Zhang

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Radial Basis Functions ◽

Meshless Methods ◽

Basis Functions ◽

Partial Differential ◽

Radial Basis

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An improved radial basis functions method for the high-order Volterra–Fredholm integro-differential equations

Mathematical Sciences ◽

10.1007/s40096-021-00432-2 ◽

2021 ◽

Author(s):

Farnaz Farshadmoghadam ◽

Haman Deilami Azodi ◽

Mohammad Reza Yaghouti

Keyword(s):

Differential Equations ◽

Radial Basis Functions ◽

High Order ◽

Basis Functions ◽

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 ◽

Cited By ~ 5

Author(s):

Pouria Assari ◽

Mehdi Dehghan

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Collocation Method ◽

Radial Basis Functions ◽

Boundary Integral Equations ◽

Boundary Integral ◽

Basis Functions ◽

Radial Basis

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Approximation of functions and approximate solution of partial differential equations using radial basis functions networks

2020 1st. Information Technology To Enhance e-learning and Other Application (IT-ELA ◽

10.1109/it-ela50150.2020.9253069 ◽

2020 ◽

Author(s):

Mohie M. Alqezweeni ◽

Vladimir Gorbachenko

Keyword(s):

Approximate Solution ◽

Partial Differential Equations ◽

Differential Equations ◽

Radial Basis Functions ◽

Basis Functions ◽

Approximation Of Functions ◽

Partial Differential ◽

Radial Basis

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Compactly supported radial basis functions for solving certain high order partial differential equations in 3D

Engineering Analysis with Boundary Elements ◽

10.1016/j.enganabound.2014.11.012 ◽

2015 ◽

Vol 55 ◽

pp. 2-9 ◽

Cited By ~ 5

Author(s):

Wen Li ◽

Ming Li ◽

C.S. Chen ◽

Xiaofeng Liu

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Radial Basis Functions ◽

High Order ◽

Basis Functions ◽

Partial Differential ◽

Compactly Supported ◽

Radial Basis

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Solving Partial Differential Equations with Multiscale Radial Basis Functions

Contemporary Computational Mathematics - A Celebration of the 80th Birthday of Ian Sloan ◽

10.1007/978-3-319-72456-0_55 ◽

2018 ◽

pp. 1191-1213 ◽

Cited By ~ 1

Author(s):

Holger Wendland

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Radial Basis Functions ◽

Basis Functions ◽

Partial Differential ◽

Radial Basis

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