نتایج جستجو برای Operational matrix

تعداد نتایج: 321934

## Sinc operational matrix method for solving the Bagley-Torvik equation

2017

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 subsequent development are given and are utilized to reduce the computation of solution of the Bagley-Torvik equati...

## Extended Triangular Operational Matrix For Solving Fractional Population Growth Model

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...

## Using operational matrix for numerical solution of fractional differential equations

ژورنال: پژوهش های ریاضی 2017

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...

## Quartic and pantic B-spline operational matrix of fractional integration

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...

## The Bernstein Operational Matrix of Integration

2009
Amit K. Singh, Vineet K. Singh, Om P. Singh, A. K. Singh, V. K. Singh, O. P. Singh,

An accurate method is proposed to solve problems such as identification, analysis and optimal control using the Bernstein orthonormal polynomials operational matrix of integration. The Bernstein polynomials are first orthogonalized, normalized and then their operational matrix of integration is obtained. An example is given to illustrate the proposed method. Mathematics Subject Classification: ...

## the operational matrix of fractional integration for shifted legendre polynomials

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...

## quartic and pantic b-spline operational matrix of fractional integration

Journal: :wavelets and linear algebra 0
ataollah askari hemmat, depatrment of mathematics graduate un..., shahid bahonar university of kerman h..., shahid bahonar university of kerman, ...,

in this work, we proposed an ef ective method based on cubic and pantic b-spline scaling functions to solve partial di fferential equations of frac- tional order. our method is based on dual functions of b-spline scaling func- tions. 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 ...

## sinc operational matrix method for solving the bagley-torvik equation

Journal: :computational methods for differential equations 0

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...

## Study on multi-order fractional differential equations via operational matrix of hybrid basis functions

2017

In this paper we apply hybrid functions of general block-pulse‎ ‎functions and Legendre polynomials for solving linear and‎ ‎nonlinear multi-order fractional differential equations (FDEs)‎. ‎Our approach is based on incorporating operational matrices of‎ ‎FDEs with hybrid functions that reduces the FDEs problems to‎ ‎the solution of algebraic systems‎. ‎Error estimate that verifies a‎ ‎converge...

## The operational matrix of fractional derivative of the fractional-order Chebyshev functions and its applications

2017

In this paper, we introduce a family of fractional-order Chebyshev functions based on the classical Chebyshev polynomials. We calculate and derive the operational matrix of derivative of fractional order \$gamma\$ in the Caputo sense using the fractional-order Chebyshev functions. This matrix yields to low computational cost of numerical solution of fractional order differential equations to the ...

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