Maryam Sarboland

Maryam Sarboland
Islamic Azad University - Saveh Branch

PhD

About

20
Publications
12,206
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87
Citations
Citations since 2016
4 Research Items
64 Citations
2016201720182019202020212022024681012
2016201720182019202020212022024681012
2016201720182019202020212022024681012
2016201720182019202020212022024681012

Publications

Publications (20)
Article
Full-text available
In this study, we provide a numerical method to approximate the solution of the time fractional Black-Sholes equation by applying the multiquadric (MQ) quasi-interpolation scheme and the integrated radial basis function networks scheme. In the present approach, quadrature formula is used to discretize the temporal Caputo fractional derivative and t...
Book
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Some mathematical problems, such as determining the roots of an equation, the value of a derivative of a function at a point, the value of the answer of a differential equation at a given point that appears in branches such as physics and engineering, cannot be solved analytically. Therefore, methods must be designed and implemented to obtain numer...
Article
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In this paper, a meshfree method is presented to solve time fractional partial differential equations. It is based on the multiquadric quasi-interpolation operator . In the present scheme, quadrature formula is used to discretise the temporal Caputo fractional derivative of order and the quasi-interpolation is used to approximate the solution funct...
Article
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This paper's purpose is to provide a numerical scheme to approximate solutions of the nonlinear Klein-Gordon equation by applying the multiquadric quasi-interpolation scheme and the integrated radial basis function network scheme. Our scheme uses θ-weighted scheme for discretization of the temporal derivative and the integrated form of the multiqua...
Article
Full-text available
A collocation scheme based on the use of the multiquadric quasi-interpolation operator 2 W L , integrated radial basis function networks (IRBFNs) method and three order finite difference method is applied to the nonlinear Klein-Gordon equation. In the present scheme, the three order finite difference method is used to discretize the temporal deriva...
Article
Full-text available
In this paper, coupled nonlinear Burgers equations are solved through a variety of meshless methods known as multiquadric quasi-interpolation scheme. In this scheme, the extension of univariate quasi-interpolation method is used to approximate the unknown functions and their spatial derivatives and the Taylor series expansion is used to discretize...
Article
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In this paper, we present a new method for solving a nonlinear third-order Korteweg-de Vries equation. This method is based on the multiquadric (MQ) quasi-interpolation operator and an integrated radial basis function networks scheme. In the present scheme, the second-order central divided difference of the spatial derivative is used to approximate...
Article
Full-text available
In this paper, we present a numerical method for solving the nonlinear Klein-Gordon equation. This method is based on the multiquadric quasi-interpolation operator Lw_2. In the present scheme, the third order convergence finite difference method is used to discretize the temporal derivative. Then, the unknown function and its spatial derivatives ar...
Article
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In this paper, we improve the multiquadric (MQ) quasi-interpolation operator 2 W L. The operator L W2 is based on inverse multiquadric radial basis function (IMQ-RBF) interpolation, and Wu and Schaback's MQ quasi-interpolation operator D L. In definition process of the quasi-interpolation 2 W L , the second derivative of function is used that appro...
Article
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The nonlinear Burgers’ equation is a simple form of Navier-Stocks equation. The nonlinear nature of Burgers’ equation has been exploited as a useful prototype differential equation for modeling many phenomena. This paper proposes two meshfree methods for solving the one-dimensional nonlinear nonhomogeneous Burgers’ equation. These methods are based...
Article
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During the last two decades, there has been a considerable interest in developing efficient radial basis functions (RBFs) algorithms for solving partial differential equations (PDEs). In this paper, we introduce the Petrov-Galerkin method for the numerical solution of the one-dimensional nonlinear Burger equation. In this method, the trial space is...
Article
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In this paper, we combine the theory of radial basis functions with the field of Petrov-Galerkin method to solve partial differential equations. The method of solution is based on the local un-symmetric weak formulation.
Article
Full-text available
We introduce a new meshless method for the numerical solutoin of partial differential equations. It is based on the Petrov-Galerkin method, in which the trial space is generated by the global radial basis functions, and the test space is generated by the Lagrange polynomials. This method of solution is also based on the unsymmetric weak formulation...

Questions

Questions (2)
Question
I study about numerical solution of fractional partial differential equation using radial basis functions (Multiquadric). According to properties of Multiquadic, if for determined shape parameter c of Multiquadric, numerical method is stability, can I say the numerical method would be stability for smaller values than it?

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