نتایج جستجو برای: operational matrices

تعداد نتایج: 152161  

Journal: :computational methods for differential equations 0
waleed m. abd- elhameed department of mathematics, faculty of science, king abdulaziz university, jeddah, saudi arabia youssri youssri department of mathematics, faculty of science, cairo university, giza-egypt eid h. doha department of mathematics, faculty of science, cairo university, giza-egypt

in this paper, the ultraspherical operational matrices of derivatives are constructed. based on these operational matrices, two numerical algorithms are presented and analyzed for obtaining new approximate spectral solutions of a class of linear and nonlinear lane-emden type singular initial value problems. the basic idea behind the suggested algorithms is basically built on transforming the eq...

In this paper, the ultraspherical operational matrices of derivatives are constructed. Based on these operational matrices, two numerical algorithms are presented and analyzed for obtaining new approximate spectral solutions of a class of linear and nonlinear Lane-Emden type singular initial value problems. The basic idea behind the suggested algorithms is basically built on transforming the eq...

In this paper, we present a new computational method to solve Volterra integral equations of the first kind based on Bernstein polynomials. In this method, using operational matrices turn the integral equation into a system of equations. The computed operational matrices are exact and new. The comparisons show this method is acceptable. Moreover, the stability of the proposed method is studied.

Journal: :computational methods for differential equations 0
hammad khalil university of malakand rahmat khan university of malakand m. m. rashidi shanghai key lab of vehicle aerodynamics and vehicle thermal management systems, tongji university.

the paper is devoted to the study of brenstien polynomials and development of some new operational matrices of fractional order integrations and derivatives. the operational matrices are used to convert fractional order differential equations to systems of algebraic equations. a simple scheme yielding accurate approximate solutions of the couple systems for fractional differential equations is ...

The paper is devoted to the study of Brenstien Polynomials and development of some new operational matrices of fractional order integrations and derivatives. The operational matrices are used to convert fractional order differential equations to systems of algebraic equations. A simple scheme yielding accurate approximate solutions of the couple systems for fractional differential equations is ...

Journal: :journal of linear and topological algebra (jlta) 0
m matinfar department of mathematics, university of mazandaran, babolsar, po. code 47416-95447, iran; a riahifar department of mathematics, islamic azad university, chalus branch, po. code 46615-397, iran.

in this study, a new and ecient approach is presented for numerical solution offredholm integro-di erential equations (fides) of the second kind on unbounded domainwith degenerate kernel based on operational matrices with respect to generalized laguerrepolynomials(glps). properties of these polynomials and operational matrices of integration,di erentiation are introduced and are ultilized to r...

Journal: :international journal of industrial mathematics 0
m. mashoof‎ department of mathematics, lahijan branch, islamic azad university, lahijan, ‎iran.‎ a. h. refahi ‎sheikhani‎ department of mathematics, lahijan branch, islamic azad university, lahijan, ‎iran.‎

in recent years, there has been greater attempt to find numerical solutions of differential equations using wavelet's methods. the following method is based on vector forms of haar-wavelet functions. in this paper, we will introduce one dimensional haar-wavelet functions and the haar-wavelet operational matrices of the fractional order integration. also the haar-wavelet operational matrice...

‎‎‎‎‎‎‎‎‎‎‎‎‎This paper aims to construct a general formulation for the shifted Jacobi operational matrices of integration and product‎. ‎The main aim is to generalize the Jacobi integral and product operational matrices to the solving system of Fredholm and Volterra integro--differential equations‎ which appear in various fields of science such as physics and engineering. ‎The Operational matr...

Journal: :international journal of industrial mathematics 2015
s. a. hossayni‎ j. a. rad k. parand s. abbasbandy

the objective of this paper is applying the well-known exact operational matrices (eoms) idea for solving the emden-fowler equations, illustrating the superiority of eoms over ordinary operational matrices (ooms). up to now, a few studies have been conducted on eoms ; but the solved differential equations did not have high-degree nonlinearity and the reported results could not strongly show the...

A. Riahifar M. Matinfar,

In this study, a new and efficient approach is presented for numerical solution of Fredholm integro-differential equations (FIDEs) of the second kind on unbounded domain with degenerate kernel based on operational matrices with respect to generalized Laguerre polynomials(GLPs). Properties of these polynomials and operational matrices of integration, differentiation are introduced and are ultili...

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