نتایج جستجو برای: operational matrix

تعداد نتایج: 440204  

ژورنال: پژوهش های ریاضی 2020

  In this paper, we apply the extended triangular operational matrices of fractional order to solve the fractional voltrra model for population growth of a species in a closed system. The fractional derivative is considered in the Caputo sense. This technique is based on generalized operational matrix of triangular functions. The introduced method reduces the proposed problem for solving a syst...

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...

Journal: :computational methods for differential equations 0
mohammad-reza azizi azarbaijan shahid madani university ali khani azarbaijan shahid madani university

the aim of this paper is to present a new numerical method for solving the bagley-torvik equation. this equation has an important role in fractional calculus. the fractional derivatives are described based on the caputo sense. some properties of the sinc functions required for our subsequentdevelopment are given and are utilized to reduce the computation of solution of the bagley-torvik equatio...

Journal: :journal of mahani mathematical research center 0
h. saeedi department of mathematics, sahid bahonar university of kerman, iran, 76169-14111.

a novel and e ective method based on haar wavelets and block pulse functions(bpfs) is proposed to solve nonlinear fredholm integro-di erential equations of fractional order.the operational matrix of haar wavelets via bpfs is derived and together with haar waveletoperational matrix of fractional integration are used to transform the mentioned equation to asystem of algebraic equations. our new m...

Journal: :international journal of nonlinear analysis and applications 2016
zahra sadati

this paper presents an approach for solving a nonlinear stochastic differential equations (nsdes) using a new basis functions (nbfs). these functions and their operational matrices areused for representing matrix form of the nbfs. with using this method in combination with the collocation method, the nsdes are reduced a stochastic nonlinear system of equations and unknowns. then, the error anal...

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...

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