نتایج جستجو برای: delay operational matrix

تعداد نتایج: 564484  

Journal: :علوم 0

hybrid of rationalized haar functions are developed to approximate the solution of the differential equations. the properties of hybrid functions which are the combinations of block-pulse functions and rationalized haar functions are first presented. these properties together with the newton-cotes nodes are then utilized to reduce the differential equations to the solution of algebraic equation...

Journal: :computational methods for differential equations 0
mohammadreza ahmadi darani shahrekord university. mitra nasiri shahrekord university.

in this paper we introduce a type of fractional-order polynomials basedon the classical chebyshev polynomials of the second kind (fcss). also we construct the operationalmatrix of fractional derivative of order $ gamma $ in the caputo for fcss and show that this matrix with the tau method are utilized to reduce the solution of some fractional-order differential equations.

Journal: :bulletin of the iranian mathematical society 0
f. ‎parzlivand department of mathematics‎, ‎alzahra university‎, ‎vanak‎, ‎post code 19834‎, ‎tehran‎, ‎iran. a. shahrezaee department of mathematics‎, ‎alzahra university‎, ‎vanak‎, ‎post code 19834‎, ‎tehran‎, ‎iran.

‎in this paper‎, ‎a numerical procedure for an inverse problem of‎ ‎simultaneously determining an unknown coefficient in a semilinear ‎parabolic equation subject to the specification of the solution at‎ ‎an internal point along with the usual initial boundary conditions ‎is considered‎. ‎the method consists of expanding the required‎ ‎approximate solution as the elements of the inverse quadrati...

Journal: :computational methods for differential equations 0
parisa rahimkhani alzahra university yadollah ordokhani alzahra university esmail babolian kharazmiuniversity

in this manuscript a new method is introduced for solving fractional differential equations. the fractional derivative is described in the caputo sense. the main idea is to use fractional-order legendre wavelets and operational matrix of fractional-order integration. first the fractional-order legendre wavelets (flws) are presented. then a family of piecewise functions is proposed, based on whi...

Journal: :sahand communications in mathematical analysis 0
sohrab bazm department of mathematics, faculty of science, university of maragheh,, p.o.box 55181-83111 maragheh, iran.

alternative legendre polynomials (alps) are used to approximate the solution of a class of nonlinear volterra-hammerstein integral equations. for this purpose, the operational matrices of integration and the product for alps are derived. then, using the collocation method, the considered problem is reduced into a set of nonlinear algebraic equations. the error analysis of the method is given an...

Journal: :نظریه تقریب و کاربرد های آن 0
ش جوادی دانشگاه خوارزمی تهران ج سعیدیان دانشگاه خوارزمی تهران ف صفری دانشکده ریاضی دانشگاه خوارزمی تهران

an ecient method, based on the legendre wavelets, is proposed to solve thesecond kind fredholm and volterra integral equations of hammerstein type.the properties of legendre wavelet family are utilized to reduce a nonlinearintegral equation to a system of nonlinear algebraic equations, which is easilyhandled with the well-known newton's method. examples assuring eciencyof the method and ...

D Behmardi, E Taghizadeh, M Matin Far, Y Ordokhani,

In this paper, a class of linear systems with multiple time delays is studied. The problem of exponential stability of time-delay systems has been investigated by using Lyapunov functional method. We will convert the system of multiple time delays into a single time delay system and show that if the old system is stable then the new one is so. Then we investigate the stability of converted new ...

K. Ratnavelu M. Kalpana, P. Balasubramaniam-pour

In this paper, linear matrix inequality (LMI) approach for synchronization of chaotic fuzzy cellular neural networks (FCNNs) with discrete and unbounded distributed delays based on sampled-data controlis investigated. Lyapunov-Krasovskii functional combining with the input delay approach as well as the free-weighting matrix approach are employed to derive several sufficient criteria in terms of...

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...

In this work, we proposed an effective method based on cubic and pantic B-spline scaling functions to solve partial differential equations of fractional order. Our method is based on dual functions of B-spline scaling functions. We derived the operational matrix of fractional integration of cubic and pantic B-spline scaling functions and used them to transform the mentioned equations to a syste...

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