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Book

A View to Numerical Analysis with Exercises

2nd Edition, IAUCTB Press. (Persian) 

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Journal Paper

Numerical Solution of a Fuzzy Linear System by Using PSO Method

Journal of Fuzzy Set Valued Analysis, Vol. 2016, SI.1, (2016) 1-7.

In this paper a numerical algorithm for solving a fuzzy linear system of equations (FLS) is considered. This system would be changed into an optimization problem which is based on Particle Swarm optimization (PSO) algorithm. The efficiency of algorithm is illustrated by some numerical examples.

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Journal Paper

Solving a Differential Model by Heat Partial Derivatives Using Bivariate B-Spline Approximation Function with Tensor Product

Science Road Journal, Vol.2 No. 3, (2014) 145-151.

Thus far, numerous studies have been done on the approximation of multivariate functions, especially approximation of functions using B-splines. In this paper, B-spline functions were used by the tensor product. By applying this approximation and replacing it in the differential equation along with partial derivatives relating to heat equations, an approximate response was found for the equation, the results of which demonstrated a method improvement. Finally, a numerical example was presented to state this issue.

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conference paper

Fuzzy Function Approximation by Using Radial Basis Function Interpolation

4th Joint Congress on Fuzzy and Intelligent Systems (CFIS), (2015) Zahedan, Iran.

In the present paper, Radial Basis Function interpolations are applied to approximate a fuzzy function $\tilde{f}:\R\rightarrow \mathcal{F}(\R)$,
on a discrete point set $X=\{x_1,x_2,\ldots,x_n\}$, by a fuzzy valued function $\tilde{S}$. RBFs are based on linear combinations of terms which include a single univariate function. Applying RBF to approximate a fuzzy function, a linear system will be obtain which by defining coefficient vector, target function will be approximiated. Finally for showing the efficiency of the method we give some numerical examples.

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conference paper

Solving the Heat Partial Differential Equation by using Bivariate B-splines and Tensor Product

44th Annual Iranian Mathematics Conference, (AIMC44), (2013) Ferdowsi University of Mashhad, Iran.

This paper is in Persian.

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conference paper

Approximation in Chaotic Ordinary Differential Equations and Controlling by Array Method

The 1st Regional Conference on Mathematics and its Applications in Engineering Science, (2010), Jouybar, Mazandaran, Iran.

In this article, we study an approximation of a system of differential equations when it has a noise. We use the Taylor method and we model the organization of such systems. In a system of differential equations, we set a scalar multiplication with a function and we saw that this system can be in chaotic mode. We used a method to omit the noises and chaos in this system.

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