This study develops and analyzes preconditioned Krylov subspace methods to solve linear systems arising from discretization of the time-independent space-fractional models. First, we apply shifted Grunwald formulas to obtain a stable finite difference approximation to fractional advection-diffusion equations. Then, we employee two preconditioned iterative methods, namely, the preconditioned gen...

The objective of this paper is to show that time-reversal invariance can be exploited in acoustics to create a variety of new methods in non-destructive testing. Two different approaches will be discussed. The first one is the iterative time reversal process. It is an adaptive technique that can be used to detect flaws in complex samples with arrays of transducers. A second technique will also ...

This paper describes a recently developed averaging technique to robustify iterative learning and repetitive controllers. The robustified controllers are found by minimizing cost functions that are averaged over either multiple analytical time-domain models or experimental frequency-domain data. The technique is simple and general, and it can be applied to any iterative learning control (ILC) o...

In this article, we propose an innovative way of estimating pitch from speech waveform data, using an iterative ARMA technique that efficiently estimates multiple frequency components of a time series. Additionally, the harmonic structure of voiced speech and the smoothness of its pitch period are incorporated into the iterative ARMA technique, and this novel integration results in an efficient...

Traditionally, balloon-based radiosonde soundings are used to study the spatial distribution of atmospheric water vapour. However, this approach cannot be frequently employed due to its high cost. In contrast, GPS tomography technique can obtain water vapour in a high temporal resolution. In the tomography technique, an iterative or non-iterative reconstruction algorithm is usually utilised to ...

A novel semiblind defocused image deconvolution technique is proposed, which is based on multivariate local polynomial regression MLPR and iterative Wiener filtering IWF . In this technique, firstly a multivariate local polynomial regression model is trained in wavelet domain to estimate defocus parameter. After obtaining the point spread function PSF parameter, iterative wiener filter is adopt...

In this paper, biochemical reaction problem is given in the form of a system of non-linear differential equations involving Caputo fractional derivative. The aim is to suggest an instrumental scheme to approximate the solution of this problem. To achieve this goal, the fractional derivation terms are expanded as the elements of shifted Legendre scaling functions. Then, applying operational matr...

We use auxiliary principle technique coupled with iterative regularization method to suggest and analyze some new iterative methods for solving mixed variational-like inequalities. The convergence analysis of these new iterative schemes is considered under some suitable conditions. Some special cases are also discussed. Our method of proofs is very simple as compared with other methods. Our res...

A novel pilot-based channel estimation scheme is proposed for frequency selective Rayleigh fading channels which works in conjunction with the existing paradigm of turbo-equalization. The iterative nature of the channel estimation technique provides substantial gain over non-iterative methods, and makes it a suitable choice for iterative equalization and decoding. The use of pilot symbols is de...