Allahbakhsh Yazdani

University of Mazandaran | UMZ · Department of Applied Mathematics Faculty of Mathematical Sciences

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the study on weak Galerkin (WG) methods with or without stabilizer parameters have received much attention. The WG methods are a discontinuous extension of the standard finite element methods in which classical differential operators are approximated on functions with discontinuity. A stabilizer term in the WG formulation is used to guarantee conve...

In this work, based on a finite difference scheme, we propose the weak Galerkin (WG) method for solving time-fractional biharmonic equations. Theoretically and numerically, the optimal error estimates for semi-discrete and fully discrete schemes have been investigated. Based on mathematical induction, stability is discussed for the fully discrete s...

In this work, the weak Galerkin finite element method (WG-FEM) is challenged by choosing a combination of the lowest degree of polynomial space for second-order elliptic problems. In this new scheme, we use the new stabilizer term. This scheme features piecewise-constant in each element T and piecewise-constant on \(\partial T\). The piecewise-cons...

In this paper, the Chebyshev spectral method is applied to solve the nonlinear Fisher fractional equation with initial boundary conditions. Here, the fractional derivative is considered in Caputo type. Then, using the Chebyshev spectral collocation method, the problem is transformed into an algebraic system. The results showed that this method is a...

The Chebyshev pseudo-spectral method is generalized for solving fractional differential equations with initial conditions. For this purpose, an appropriate representation of the solution is presented and the Chebyshev pseudo-spectral differentiation matrix of fractional order is derived. Then, by using Chebyshev pseudo-spectral scheme, the problem...

In this paper, the numerical solution for space fractional advection-dispersion problem in one-dimension is proposed by B-spline finite volume element method. The fractional derivative is Grunwald-Letnikov in the proposed scheme. The stability and convergence of the proposed numerical method are studied, and the numerical results support the exact...

In this work a new integral transform is introduced and applied to solve higher order linear ordinary Laguerre and Hermite differential equations. We compare present transform with other method such as Frobenius Method.

معادلات دیفرانسیل برای مدل‌سازی مسائلی در زمینه‌های مختلف مهندسی، امور مالی، ریاضیات کاربردی، ریاضیات زیستی مورد استفاده قرار می‌گیرند. در دهه‌های اخیر، دانشمندان زیادی سودمندی استفاده از مشتق و انتگرال غیر صحیح را برای توصیف پدیده‌های مختلف مورد تاکید قرار داده‌اند، زیرا مشتقات کسری قابلیت بالاتری برای مدل کردن آن‌ها دارند. در اکثر مسائل دنیای واق...

The numerical solution for the time fractional advection-diffusion problem in one-dimension with the initial-boundary condition is proposed in this paper by B-spline finite volume element method. The fractional derivative is Caputo in the proposed scheme. The stability of the proposed numerical method is studied, and the numerical results presented...

Linear assignment problem is one of the most important practical models in the literature of linear programming problems. Input data in the cost matrix of the linear assignment problem are not always crisp and sometimes in the practical situations is formulated by the grey systems theory approach. In this way, some researchers have used a whitening...

In this paper, a linear programming problem is considered involving interval grey numbers as an extension of the classical linear programming problem to an inexact environment as well as fuzzy and stochastic environment

In this paper, we approximate the solution of the initial and boundary value problems of anomalous second- and fourth-order sub-diffusion equations of fractional order. The fractional derivative is used in the Caputo sense. To solve these equations, we will use a numerical method based on B-spline basis functions and the collocation method. It will...

In this paper, we will study the application of homotopy perturbation method for solving fuzzy nonlinear Volterra-Fredholm integral equations of the second kind. Some examples are proposed to exhibit the efficiency of the method. KeywordsFuzzy arithmetic–Fuzzy nonlinear–Volterra-Fredholm integral equation–Homotopy perturbation method

In this paper, we establish an equivalent statement of minimax inequality for a special class of functionals. As an application, a result for the existence of three solutions to the Dirichlet problem ‰ ¡(ju 0 j p¡2 u 0 ) 0 = ‚f(x;u); u(a) = u(b) = 0; where f : (a;b) £ R ! R is a continuous function, p > 1 and ‚ > 0, is emphasized.

Fuzzy set theory has been applied to many fields, such as operations research, control theory, and management sciences. We consider two classes of fuzzy linear programming (FLP) problems: Fuzzy number linear programming and linear programming with trapezoidal fuzzy variables problems. We state our recently established results and develop fuzzy prim...