نتایج جستجو برای: legendre wavelet collocation method

تعداد نتایج: 1660055  

Journal: :bulletin of the iranian mathematical society 0
a. golbabai school of mathematics‎, ‎iran‎ ‎university of science and technology‎, ‎p‎.‎o‎. ‎box 16846-13114‎, ‎tehran‎, ‎iran. s. p. a. beik school of mathematics‎, ‎iran‎ ‎university of science and technology‎, ‎p‎.‎o‎. ‎box 16846-13114‎, ‎tehran‎, ‎iran d. k. salkuyeh faculty of mathematical sciences‎, ‎university of guilan‎, ‎rasht‎, ‎iran

abstract. the main contribution of the current paper is to propose a new effective numerical method for solving the first-order linear matrix differential equations. properties of the legendre basis operational matrix of integration together with a collocation method are applied to reduce the problem to a coupled linear matrix equations. afterwards, an iterative algorithm is examined for solvin...

2014
M. M. Khader A. M. S. Mahdy M. M. Shehata

In this paper, we propose and analyze some schemes of the integral collocation formulation based on Legendre polynomials. We implement these formulae to solve numerically Riccati, Logistic and delay differential equations with variable coefficients. The properties of the Legendre polynomials are used to reduce the proposed problems to the solution of non-linear system of algebraic equations usi...

2016
Yuezheng Gong Yushun Wang

In this paper, we develop a novel energy-preserving wavelet collocation method for solving general multi-symplectic formulations of Hamiltonian PDEs. Based on the autocorrelation functions of Daubechies compactly supported scaling functions, the wavelet collocation method is conducted for spatial discretization. The obtained semi-discrete system is shown to be a finite-dimensional Hamiltonian s...

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: :Journal of Optimization Theory and Applications 2009

2001
O. V. Vasilyev

This paper introduces the hybrid wavelet collocation Brinkman penalization method for solving the Navier–Stokes equations in arbitrarily complex geometries. The main advantages of the wavelet collocation method and penalization techniques are described, and a brief summary of their implementation is given. The hybrid method is then applied to a simple flow around cylinders with both periodic an...

2012
Ali H Bhrawy Mohammed M Al-Shomrani

In this article, a shifted Legendre tau method is introduced to get a direct solution technique for solving multi-order fractional differential equations (FDEs) with constant coefficients subject to multi-point boundary conditions. The fractional derivative is described in the Caputo sense. Also, this article reports a systematic quadrature tau method for numerically solving multi-point boundar...

Journal: :Journal of Computational Physics 2015

Journal: :CoRR 2014
M. M. S. Lira Hélio Magalhães de Oliveira M. A. Carvalho Ricardo M. Campello de Souza

A new family of wavelets is introduced, which is associated with Legendre polynomials. These wavelets, termed spherical harmonic or Legendre wavelets, possess compact support. The method for the wavelet construction is derived from the association of ordinary second order differential equations with multiresolution filters. The low-pass filter associated to Legendre multiresolution analysis is ...

1999
W. Keller

The collocation problem for noisy data with a piecewise constant noise variance is considered. An equivalence to the WIENERKOLMOGOROV equations in stationary collocation theory is constructed. A numerical solution based on HAAR wavelets is given.

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