Zobrazeno 1 - 10
of 31
pro vyhledávání: '"Shahnam Javadi"'
Publikováno v:
ETNA - Electronic Transactions on Numerical Analysis. 54:150-175
The main purpose of this paper is to introduce generalized fractional pseudospectral integration and differentiation matrices using a family of fractional interpolants, called fractional Lagrange interpolants. We develop novel approaches to the numer
Autor:
Shahnam Javadi, Farhad Moradi
Publikováno v:
Iranian Journal of Science and Technology, Transactions A: Science. 44:763-772
The current paper is devoted to introducing a semi-analytical technique for the numerical solution of nonlinear oscillators under the damping effect by using the reproducing kernel Hilbert space method. The proposed scheme is a hybrid of the reproduc
Publikováno v:
Mathematical Sciences. 13:231-240
In this paper, we propose a new method for solving second-order fractional integral equations. By using of spectral collocation method based on Gauss–Legendre–Lobatto points, a system of algebraic equations is obtained and then, we get a solution
Publikováno v:
Journal of Computational and Applied Mathematics. 348:70-88
The aim of this paper is to present efficient and stable methods to compute Caputo fractional derivative (CFD) of the Muntz–Legendre polynomials based on three-term recurrence relations and Gauss–Jacobi quadrature rules. This approach with colloc
Publikováno v:
Applied Mathematics and Computation. 342:224-246
Fractional order diffusion equations are generalizations of classical diffusion equations, treating super-diffusive flow processes. The paper presents a meshless method based on spatial trial spaces spanned by the radial basis functions (RBFs) for th
Publikováno v:
Journal of Scientific Computing. 86
In this paper, we introduce a new family of interpolants, called piecewise fractional interpolants (PFIs). The proposed interpolants are used to construct a new class of predictor–corrector methods for solving nonlinear fractional differential equa
Publikováno v:
Computational and Applied Mathematics. 39
The main purpose of this work is to develop effective spectral collocation methods for solving numerically general form of non-linear fractional two-point boundary value problems with two end-point singularities. Specifically, we define two classes o
Publikováno v:
Journal of Computational Physics. 359:436-450
In this study a new spectral iterative method (SIM) based on fractional interpolation is presented for solving nonlinear fractional differential equations (FDEs) involving Caputo derivative. This method is equipped with a pre-algorithm to find the si
Publikováno v:
International Journal of Numerical Methods for Heat & Fluid Flow. 27:2582-2602
Purpose The purpose of this paper is to introduce a local Newton basis functions collocation method for solving the 2D nonlinear coupled Burgers’ equations. It needs less computer storage and flops than the usual global radial basis functions collo
Publikováno v:
Mathematical Sciences, Vol 11, Iss 4, Pp 333-343 (2017)
This paper describes two new ABS algorithms based on two-step ABS methods for solving general solution of full row rank linear systems of equations. For both of our works, the ith iteration solves the first 2i equations, but for the second algorithm,