نتایج جستجو برای Interval Legendre wavelet method

تعداد نتایج: 1228937  

In this paper, we present Legendre wavelet method to obtain numerical solution of a singular integro-differential equation. The singularity is assumed to be of the Cauchy type. The numerical results obtained by the present method compare favorably with those obtained by various Galerkin methods earlier in the literature.

2013
S. Karimi Vanani,

In this paper, the objective is to solve the functional differential equations in the following form using Legendre Wavelet Method (LWM), 0 f 0 u(t)=f(t ,u( t) ,u( (t))), t t t u( t)= (t), t t ′ α ≤ ≤   φ ≤  (1) where ƒ: [t0, tƒ]×R→R is a smooth function, α(t) is a continuous function on [t0, tƒ] and φ(t)∈C represents the initial point or the initial data. In the present paper, the most impo...

ج سعیدیان, ش جوادی, ف صفری,

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 its sup...

Journal: :computational methods for differential equations 0
naser aghazadeh, azarbaijan shahid madani university y..., azarbaijan shahid madani university p..., azarbaijan shahid madani university,

in this paper, we present legendre wavelet method to obtain numerical solution of a singular integro-differential equation. the singularity is assumed to be of the cauchy type. the numerical results obtained by the present method compare favorably with those obtained by various galerkin methods earlier in the literature.

In this paper, we apply Legendre wavelet collocation method to obtain the approximate solution of nonlinear Stratonovich Volterra integral equations. The main advantage of this method is that Legendre wavelet has orthogonality property and therefore coefficients of expansion are easily calculated. By using this method, the solution of nonlinear Stratonovich Volterra integral equation reduces to...

A. Azizi, J. Saeidian, S. Abdi,

In this paper Legendre wavelet bases have been used for finding approximate solutions to singular boundary value problems arising in physiology. When the number of basis functions are increased the algebraic system of equations would be ill-conditioned (because of the singularity), to overcome this for large $M$, we use some kind of Tikhonov regularization. Examples from applied sciences are pr...

2016
Xiaoyang Zheng, Zhengyuan Wei, X. Y. Zheng, Z. Y. Wei,

This paper first introduces Legendre wavelet bases and derives their rich properties. Then these properties are applied to estimation of approximation error upper bounded in spaces [ ] ( ) C 0,1 α and [ ] ( ) N C 0,1 +α by norms 2 ⋅ and 1 ⋅ , respectively. These estimate results are valuable to solve integral-differential equations by Legendre wavelet method.

2010
Teruya Minamoto, Kentaro Aoki,

In this paper, we present a new blind digital image watermarking method. We introduce interval wavelet decomposition, which is a combination of a discrete wavelet transform and interval arithmetic, and we examine its properties. According to our experimental results, this combination is a good way to produce a kind of redundancy from the original image and to develop new watermarking methods. T...

A. Salimi Shamloo, B. Parsa Moghaddam, N. khorrami,

In this paper, interval Legendre wavelet method is investigated to approximated the solution of the interval Volterra-Fredholm-Hammerstein integral equation. The shifted interval Legendre polynomials are introduced and based on interval Legendre wavelet method is defined. The existence and uniqueness theorem for the interval Volterra-Fredholm-Hammerstein integral equations is proved. Some examp...

Journal: :J. Applied Mathematics 2013
A. Karimi Dizicheh, Fudziah Bt. Ismail, M. Tavassoli Kajani, Mohammad Maleki,

In this paper, we propose an iterative spectral method for solving differential equations with initial values on large intervals. In the proposed method, we first extend the Legendre wavelet suitable for large intervals, and then the Legendre-Guass collocation points of the Legendre wavelet are derived. Using this strategy, the iterative spectral method converts the differential equation to a s...

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