نتایج جستجو برای: operational matrix of derivative

تعداد نتایج: 21197461  

Journal: :bulletin of the iranian mathematical society 0
s. irandoust-pakchin department of applied mathematics‎, ‎faculty of mathematical sciences, university of tabriz‎, ‎tabriz‎, ‎iran. m. lakestani department of applied mathematics‎, ‎faculty of mathematical sciences, university of tabriz‎, ‎tabriz‎, ‎iran. h. ‎kheiri department of applied mathematics‎, ‎faculty of mathematical sciences, university of tabriz‎, ‎tabriz‎, ‎iran.

‎it is commonly accepted that fractional differential equations play‎ ‎an important role in the explanation of many physical phenomena‎. ‎for‎ ‎this reason we need a reliable and efficient technique for the‎ ‎solution of fractional differential equations‎. ‎this paper deals with‎ ‎the numerical solution of a class of fractional differential‎ ‎equation‎. ‎the fractional derivatives are described...

Journal: :Journal of Physics: Conference Series 2021

Abstract In this paper, we solve the fractional order stiff system using shifted Genocchi polynomials operational matrix. Different than well known polynomials, shift interval from [0, 1] to [1, 2] and name it as polynomials. Using nice properties of which inherit classical matrix derivative will be derived. Collocation scheme are used together with some system. From numerical examples, is obvi...

ژورنال: پژوهش های ریاضی 2017
hadadian nejad yosofi, e., mirzaee, f,

In this article, we have discussed a new application of modification of hat functions on nonlinear multi-order fractional differential equations. The operational matrix of fractional integration is derived and used to transform the main equation to a system of algebraic equations. The method provides the solution in the form of a rapidly convergent series. Furthermore, error analysis of the pro...

‎In this paper‎, ‎we present a numerical method based on Bernstein polynomials to solve optimal control systems with constant and pantograph delays‎. ‎Constant or pantograph delays may appear in state-control or both‎. ‎We derive delay operational matrix and pantograph operational matrix for Bernstein polynomials then‎, ‎these are utilized to reduce the solution of optimal control with constant...

Journal: :AIP Advances 2023

In this paper, we present a well-organized method to estimate the one-dimensional fractional Rayleigh–Stokes model using construction of orthogonal Gegenbauer polynomials (GBPs) and Lagrange square interpolation time derivative. Therefore, design an authentic fast numerical calculation approach based on elaborated convergence rate recovery method. The matrix derivative operation GBP is gained b...

E. Hashemizadeh‎, M. Mohsenyzadeh

In this paper, the numerical technique based on hybrid Bernoulli and Block-Pulse functions has been developed to approximate the solution of system of linear Volterra integral equations. System of Volterra integral equations arose in many physical problems such as elastodynamic, quasi-static visco-elasticity and magneto-electro-elastic dynamic problems. These functions are formed by the hybridi...

پایان نامه :وزارت علوم، تحقیقات و فناوری - دانشگاه سمنان - دانشکده علوم پایه 1388

توسیع تعدادی از نامساوی های چند جمله ای در مشتق قطبی

Journal: :علوم 0
یداله اردوخانی yadollah ordokhani alzahra universityدانشگاه الزهرا ندا رحیمی neda rahimi alzahra universityدانشگاه الزهرا

in this paper rationalized haar (rh) functions method is applied to approximate the numerical solution of the fractional volterra integro-differential equations (fvides). the fractional derivatives are described in caputo sense. the properties of rh functions are presented, and the operational matrix of the fractional integration together with the product operational matrix are used to reduce t...

Journal: :iranian journal of science and technology (sciences) 2013
h. kheiri

a computational method for numerical solution of a nonlinear volterra and fredholm integro-differentialequations of fractional order based on chebyshev cardinal functions is introduced. the chebyshev cardinaloperational matrix of fractional derivative is derived and used to transform the main equation to a system ofalgebraic equations. some examples are included to demonstrate the validity and ...

Journal: :iranian journal of science and technology (sciences) 2013
g. h. erjaee

in this article we implement an operational matrix of fractional integration for legendre polynomials. we proposed an algorithm to obtain an approximation solution for fractional differential equations, described in riemann-liouville sense, based on shifted legendre polynomials. this method was applied to solve linear multi-order fractional differential equation with initial conditions, and the...

نمودار تعداد نتایج جستجو در هر سال

با کلیک روی نمودار نتایج را به سال انتشار فیلتر کنید