ABSTRACT: We consider a ill-posed problem-fractional numerical differentiation with a new method. We propose Fourier truncation method to compute fractional numerical derivatives. A Holder-type ...

Abstract: Practical methods of differentiating a signal known only through its online samples are much needed, given the numerous areas in control theory and practice where differentiation is ...

In this paper, we present a practical matrix method for solving nonlinear Volterra-Fredholm integro-differential equations under initial conditions in terms of Bernstein polynomials on the interval [0 ...

In many areas of science, through the use of modern computer-controlled instrumentation, highly accurate indirect measurements of the phenomenon/process of interest are being generated on a (very) ...

Abstract: Practical implementations of the operation which consists of differentiating a signal, a real valued function of the time, known only through its on line samples is much wanted, given the ...

Mathematics of Computation, Vol. 49, No. 180 (Oct., 1987), pp. 523-542 (20 pages) We present Runge-Kutta methods of high accuracy for stochastic differential ...