Solving PDEs with the aid of two-dimensional Haar wavelets

Solving PDEs with the aid of two-dimensional Haar wavelets

In most cases authors are permitted to post their version of the article (e.g. in Word or Tex form) to their personal website or institutional repository. Authors requiring further information regarding Elsevier's archiving and manuscript policies are encouraged to visit: a b s t r a c t Two-dimensional Haar wavelets are applied for solution of the partial differential equations (PDEs). The pro...

Solving integral and differential equations by the aid of non-uniform Haar wavelets

A modification of the Haar wavelet method, for which the stepsize of the argument is variable, is proposed. To establish the efficiency of the method three test problems, for which exact solution is known, are considered. Computer simulations show clear preference of the suggested method compared with the Haar wavelet method of a constant stepsize. 2007 Elsevier Inc. All rights reserved.

Wavelets: An Alternative Approach to Solving PDEs

Selective Crypting with Haar-Wavelets

The coefficients of a wavelet–decomposition form into different levels according to the size of the described details. This can be utilized to crypt only a part of the given data while keeping the rest unchanged so that critical information is filtered out. I achieved this idea with Haar–wavelets for a special type of data and show in addition an a priori error estimation.

APPLICATION OF HAAR WAVELETS IN SOLVING NONLINEAR FRACTIONAL FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS

A novel and eective method based on Haar wavelets and Block Pulse Functions(BPFs) is proposed to solve nonlinear Fredholm integro-dierential 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 met...