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math.NA2023
Radial boundary elements method, a new approach on using radial basis functions to solve partial differential equations, efficiently
Hossein Hosseinzadeh, Zeinab Sedaghatjoo
Conventionally, piecewise polynomials have been used in the boundary elements method (BEM) to approximate unknown boundary values. Since infinitely smooth radial basis functions (R…
math.NA2023★ 1 cited
Radial polynomials as alternatives to smooth radial basis functions and their applications
Fatemeh Pooladi, Hossein Hosseinzadeh
Because of the high approximation power and simplicity of computation of smooth radial basis functions (RBFs), in recent decades they have received much attention for function appr…
math.NA2022★ 1 cited
Numerical solution of fractional Fredholm integro-differential equations by spectral method with fractional basis functions
Y. Talaei, S. Noeiaghdam, H. Hosseinzadeh
This paper presents an efficient spectral method for solving the fractional Fredholm integro-differential equations. The non-smoothness of the solutions to such problems leads to t…