Zobrazeno 1 - 10
of 30
pro vyhledávání: '"Abdollah Borhanifar"'
Autor:
Abdollah BORHANIFAR, Sohrab VALIZADEH
Publikováno v:
Walailak Journal of Science and Technology, Vol 10, Iss 5 (2013)
In this study a fractional Poisson equation is scrutinized through finite difference using the shifted Grünwald estimate. A novel method is proposed numerically. The existence and uniqueness of the solution for the fractional Poisson equation is pro
Externí odkaz:
https://doaj.org/article/121dc12f6e7940be95533215f8e9e518
Autor:
Abdollah BORHANIFAR, Sohrab VALIZADEH
Publikováno v:
Walailak Journal of Science and Technology, Vol 9, Iss 4 (2012)
In this paper, the novel hybrid finite difference type Crank-Nicolson scheme with the aid of shifted Grünwald estimate is proposed to solve fractional partial differential equations. Consistency of the proposed method is confirmed using fractional T
Externí odkaz:
https://doaj.org/article/fea591583d3e4970b5520d2d8b2bbc65
Publikováno v:
Filomat. 35:1543-1554
In this paper, a compact alternating direction implicit (ADI) method has been developed for solving two-dimensional Riesz space fractional diffusion equation. The precision of the discretization method used in spatial directions is twice the order of
Numerical Solution for Riesz Fractional Diffusion Equation via Fractional Centered Difference Scheme
Autor:
Abdollah Borhanifar, Sohrab Valizadeh
Publikováno v:
Walailak Journal of Science and Technology (WJST). 18
In this paper, a mixed matrix transform method with fractional centered difference scheme for solving fractional diffusion equation with Riesz fractional derivative was examined. It was obtained that the numerical scheme was unconditionally stable an
Publikováno v:
Journal of the Brazilian Society of Mechanical Sciences and Engineering. 42
Natural frequencies and free vibration are important characteristics of beams with non-uniform cross section. Hence, the solution for free vibrations of non-uniform beams is presented using a Laguerre collocation method. The elastically restrained be
High-order numerical method for two-dimensional Riesz space fractional advection-dispersion equation
Publikováno v:
Discrete & Continuous Dynamical Systems - B. 26:5495
In this paper, by combining of fractional centered difference approach with alternating direction implicit method, we introduce a mixed difference method for solving two-dimensional Riesz space fractional advection-dispersion equation. The proposed m
Publikováno v:
Numerical Algorithms. 74:1203-1221
We use a matrix formulated algorithm to approximate solutions of a class of nonlinear reaction-diffusion equations with nonlocal boundary conditions. Some theoretical results are presented to simplify application of operational matrix formulation and
Autor:
Yashar Azizian-Kalandaragh, Ehsan Ahadi Akhlaghi, Alexey P. Porfirev, Fazel Saadati-Sharafeh, Svetlana N. Khonina, Pari Amiri, Abdollah Borhanifar
Publikováno v:
Optik. 208:164057
The superposition of the Bessel and Mirrored Bessel beams, and their self-healing characteristic, using the defined similarity function have been investigated, quantitatively. We use the Huygens convolution method to propagate these beams to study th
Autor:
Abdollah Borhanifar, Kh. Sadri
Publikováno v:
Journal of Computational and Applied Mathematics. 279:80-96
In this paper, a class of linear and nonlinear functional integro-differential equations are considered that can be found in the various fields of sciences such as: stress-strain states of materials, motion of rigid bodies and models of polymer cryst
Publikováno v:
Hacettepe Journal of Mathematics and Statistics. 4