On the use of differential equations of nonentire order to generate entire domain basis functions with edge singularity

On entire-domain basis functions with square-root edge singularity (EM scattering)

IEEE Transactions on Antennas and Propagation ◽

10.1109/8.35803 ◽

1989 ◽

Vol 37 (9) ◽

pp. 1211-1214 ◽

Cited By ~ 11

Author(s):

A. Frenkel

Keyword(s):

Basis Functions ◽

Square Root ◽

Em Scattering ◽

Entire Domain ◽

Edge Singularity ◽

Root Edge

2018 IEEE International Symposium on Antennas and Propagation & USNC/URSI National Radio Science Meeting ◽

Entire-Domain Spectral Basis Functions for the Efficient Design of Metasurface Antennas of Circular Shape

10.1109/apusncursinrsm.2018.8608462 ◽

2018 ◽

Cited By ~ 1

Author(s):

F. Verni ◽

G. Vecchi ◽

M. Righero

Keyword(s):

Basis Functions ◽

Efficient Design ◽

Entire Domain ◽

Circular Shape

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):

Differential Equations ◽

Radial Basis Functions ◽

Meshless Methods ◽

Basis Functions ◽

Partial Differential ◽

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 ◽

Method of Moments Simulation of Modulated Metasurface Antennas With a Set of Orthogonal Entire-Domain Basis Functions

IEEE Transactions on Antennas and Propagation ◽

10.1109/tap.2018.2880075 ◽

2019 ◽

Vol 67 (2) ◽

pp. 1119-1130 ◽

Cited By ~ 11

Author(s):

Modeste Bodehou ◽

David Gonzalez-Ovejero ◽

Christophe Craeye ◽

Isabelle Huynen

Keyword(s):

Method Of Moments ◽

Basis Functions ◽

Entire Domain

Efficient Simulation of Rectangular Dielectric Resonators Using Volume MPIE-MoM Formulation With Combined Entire-Domain and Subdomain Basis Functions

IEEE Transactions on Antennas and Propagation ◽

10.1109/tap.2003.822424 ◽

2004 ◽

Vol 52 (1) ◽

pp. 327-332 ◽

Cited By ~ 8

Author(s):

Y. Liu ◽

S. Safavi-Naeini ◽

S.K. Chaudhuri ◽

R. Sabry

Keyword(s):

Basis Functions ◽

Dielectric Resonators ◽

Entire Domain ◽

Efficient Simulation

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 ◽

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

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

10.1109/it-ela50150.2020.9253069 ◽

2020 ◽

Author(s):

Mohie M. Alqezweeni ◽

Vladimir Gorbachenko

Keyword(s):

Approximate Solution ◽

Differential Equations ◽

Radial Basis Functions ◽

Basis Functions ◽

Approximation Of Functions ◽

Partial Differential ◽

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):

Differential Equations ◽

Radial Basis Functions ◽

High Order ◽

Basis Functions ◽

Partial Differential ◽

Compactly Supported ◽

B-splines methods with redefined basis functions for solving fourth order parabolic partial differential equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2011.04.061 ◽

2011 ◽

Vol 217 (23) ◽

pp. 9741-9755 ◽

Cited By ~ 6

Author(s):

R.C. Mittal ◽

R.K. Jain

Keyword(s):

Differential Equations ◽

Fourth Order ◽

Basis Functions ◽

Parabolic Partial Differential Equations ◽

Partial Differential ◽

B Splines