Výsledky vyhledávání - "Yadollah Ordokhani"

Akademický článek

An accurate numerical scheme for three-dimensional variable-order time-fractional partial differential equations in two types of space domains

Autor: Haniye Dehestani, Yadollah Ordokhani, Mohsen Razzaghi

Publikováno v: Mathematical Modelling and Analysis, Vol 29, Iss 3 (2024)

We consider the discretization method for solving three-dimensional variable-order (3D-VO) time-fractional partial differential equations. The proposed method is developed based on discrete shifted Hahn polynomials (DSHPs) and their operational matri

Externí odkaz: https://doaj.org/article/c8ee95b852004886a3813c9a314c97a0

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Akademický článek

A Numerical Approach Based on Operational Matrix for Solving Fractional Delay Differential Equations

Autor: Parisa Rahimkhani, Yadollah Ordokhani

Publikováno v: پژوهش‌های ریاضی, Vol 6, Iss 4, Pp 587-600 (2020)

Introduction Fractional calculus has been used to model physical and chemical processes that are found to be best described by fractional differential equations. Recently, fractional calculus has attracted much attention since it plays an important r

Externí odkaz: https://doaj.org/article/8df81850b8254adea4b24fe512c909d2

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Akademický článek

A spectral approach for time-fractional diffusion and subdiffusion equations in a large interval

Autor: Haniye Dehestani, Yadollah Ordokhani, Mohsen Razzaghi

Publikováno v: Mathematical Modelling and Analysis, Vol 27, Iss 1, Pp 19–40-19–40 (2022)

In this paper, we concentrate on a class of time-fractional diffusion and subdiffusion equations. To solve the mentioned problems, we construct twodimensional Genocchi-fractional Laguerre functions (G-FLFs). Then, the pseudooperational matrices are u

Externí odkaz: https://doaj.org/article/f68d5eab50bb420dab16401f4ad5f18b

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Akademický článek

Numerical Solution of Delay Fractional Optimal Control Problems using Modification of Hat Functions

Autor: Somayeh Nemati, Yadollah Ordokhani

Publikováno v: پژوهش‌های ریاضی, Vol 4, Iss 2, Pp 241-258 (2018)

In this paper, we consider the numerical solution of a class of delay fractional optimal control problems using modification of hat functions. First, we introduce the fractional calculus and modification of hat functions. Fractional integral is consi

Externí odkaz: https://doaj.org/article/db7e13ab12aa4acead86f9eb03c9a32f

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Akademický článek

Numerical solution of variable-order time fractional weakly singular partial integro-differential equations with error estimation

Autor: Haniye Dehestani, Yadollah Ordokhani, Mohsen Razzaghi

Publikováno v: Mathematical Modelling and Analysis, Vol 25, Iss 4 (2020)

In this paper, we apply Legendre-Laguerre functions (LLFs) and collocation method to obtain the approximate solution of variable-order time-fractional partial integro-diﬀerential equations (VO-TF-PIDEs) with the weakly singular kernel. For this pur

Externí odkaz: https://doaj.org/article/43c829a9038c4d36a56503d2ee02f8d8

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Akademický článek

APPLICATION OF THE BESSEL-HYBRID FUNCTIONS FOR THE LINEAR FREDHOLM-VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS

Autor: YADOLLAH ORDOKHANI, HANIYE DEHESTANI

Publikováno v: Romanian Journal of Mathematics and Computer Science, Vol 5, Iss 2, Pp 164-177 (2015)

In this paper a collocation method based on the Bessel-hybrid functions is used for approximation of the solution of linear Fredholm-Volterra integro-differential equations (FVIDEs) under mixed conditions. First, we explain the properties of Bessel-h

Externí odkaz: https://doaj.org/article/8611041a0d7b448383b0e220436b5fe7

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