Search Results - "Yousefi, S. A."
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1
Operational matrices of Bernstein polynomials and their applications
Published in Analytical letters (01-06-2010)“…The Bernstein polynomials (B-polynomials) operational matrices of integration P, differentiation D and product Ĉ are derived. A general procedure of forming…”
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2
The use of He's variational iteration method for solving the telegraph and fractional telegraph equations
Published in International journal for numerical methods in biomedical engineering (01-02-2011)“…In this paper the variational iteration method is used to compute the solution for the linear, variable coefficient, fractional derivative and multi space…”
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3
The operational matrices of Bernstein polynomials for solving the parabolic equation subject to specification of the mass
Published in Journal of computational and applied mathematics (01-07-2011)“…Some physical problems in science and engineering are modelled by the parabolic partial differential equations with nonlocal boundary specifications. In this…”
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4
Determination of a time-dependent diffusivity from nonlocal conditions
Published in Journal of applied mathematics & computing (01-03-2013)“…The inverse problem of determining the temperature and the time-dependent thermal diffusivity from various additional nonlocal information is investigated…”
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5
The linear Legendre mother wavelets operational matrix of integration and its application
Published in Journal of the Franklin Institute (01-03-2006)“…The linear Legendre mother wavelets operational matrix of integration P is derived. A general procedure of forming this matrix P is given. This matrix P can be…”
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6
Ritz-Galerkin method with Bernstein polynomial basis for finding the product solution form of heat equation with non-classic boundary conditions
Published in International journal of numerical methods for heat & fluid flow (01-01-2012)“…Purpose - The purpose of this paper is to implement the Ritz-Galerkin method in Bernstein polynomial basis to give approximation solution of a parabolic…”
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7
Numerical approach based on fractional-order Lagrange polynomials for solving a class of fractional differential equations
Published in Computational & applied mathematics (01-07-2018)“…In this study, we propose a new set of fractional functions based on the Lagrange polynomials to solve a class of fractional differential equations. Fractional…”
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8
Legendre multiwavelet functions for numerical solution of multi-term time-space convection–diffusion equations of fractional order
Published in Engineering with computers (01-04-2021)“…In this study, the Ritz–Galerkin method based on Legendre multiwavelet functions is introduced to solve multi-term time-space convection–diffusion equations of…”
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9
A numerical technique for solving fractional optimal control problems
Published in Computers & mathematics with applications (1987) (01-08-2011)“…This paper presents a numerical method for solving a class of fractional optimal control problems (FOCPs). The fractional derivative in these problems is in…”
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10
Using a meshless kernel-based method to solve the Black–Scholes variational inequality of American options
Published in Computational & applied mathematics (01-03-2018)“…Under the Black–Scholes model, the value of an American option solves a free boundary problem which is equivalent to a variational inequality problem. Using…”
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11
He’s variational iteration method for solving nonlinear mixed Volterra–Fredholm integral equations
Published in Computers & mathematics with applications (1987) (01-12-2009)“…In this paper He’s variational iteration method is used to give the approximate solution of nonlinear mixed Volterra–Fredholm integral equations. The method…”
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12
A numerical technique for solving a class of fractional variational problems
Published in Journal of computational and applied mathematics (01-01-2013)“…This paper presents a numerical method for solving a class of fractional variational problems (FVPs) with multiple dependent variables, multi order fractional…”
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13
The use of a Legendre multiwavelet collocation method for solving the fractional optimal control problems
Published in Journal of vibration and control (01-11-2011)“…In this article the Legendre multiwavelet basis with the aid of a collocation method has been applied to give the approximate solution for the fractional…”
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14
A numerical method for solving a nonlinear 2-D optimal control problem with the classical diffusion equation
Published in International journal of control (01-02-2017)“…This paper presents a numerical solution for solving a nonlinear 2-D optimal control problem (2DOP). The performance index of a nonlinear 2DOP is described…”
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15
Application of Legendre wavelets for solving fractional differential equations
Published in Computers & mathematics with applications (1987) (01-08-2011)“…In this paper, we develop a framework to obtain approximate numerical solutions to ordinary differential equations (ODEs) involving fractional order…”
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16
Numerical solution of the nonlinear age-structured population models by using the operational matrices of Bernstein polynomials
Published in Applied mathematical modelling (01-03-2012)“…In this paper a numerical method for solving the nonlinear age-structured population models is presented which is based on Bernstein polynomials approximation…”
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17
Generalized Euler–Lagrange equations for fractional variational problems with free boundary conditions
Published in Computers & mathematics with applications (1987) (01-08-2011)“…In this article we are going to present necessary conditions which must be satisfied to make the fractional variational problems (FVPs) with completely free…”
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18
Finding a control parameter in a one-dimensional parabolic inverse problem by using the Bernstein Galerkin method
Published in Inverse problems in science and engineering (01-01-2009)“…An inverse problem concerning a diffusion equation with source control parameter is considered. The approximation of the problem is based on the Bernstein…”
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19
The use of He's variational iteration method for solving variational problems
Published in International journal of computer mathematics (01-05-2010)“…In this paper, the variational iteration method is implemented to give approximate solution of the Euler-Lagrange, Euler-Poisson and Euler-Ostrogradsky…”
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20
Finding the optimal control of linear systems via He's variational iteration method
Published in International journal of computer mathematics (01-04-2010)“…In this article, He's variational iteration method has been applied to find the optimal control of linear systems, approximately. Numerical results are given…”
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