Showing papers in "Journal of Computational and Applied Mathematics in 2019"

TL;DR: The algorithm combines time series analysis methods to forecast the values of the predictor variables with machine learning techniques to predict RUL from those variables, and shows a high prediction capability, far greater than that provided by the VARMA model.

TL;DR: The unique solvability, energy stability are established for the proposed numerical scheme, and an optimal rate convergence analysis is derived in the $\ell^\infty (0,T; T; H_h^2)$ norm.

TL;DR: This paper is mainly aiming at building a more general nonlinear grey prediction model based on the Bernoulli equation and the modelling procedures of the GMC, abbreviated as the NGBMC(1, n).

TL;DR: It is claimed that yes it is possible to iterate the conformable fractional integral of order 0 α ≤ 1 (Riemann approach), such that when α = 0 the authors obtain Hadamard fractional integrals.

TL;DR: This paper investigates the combined parameter and order determination of Hammerstein systems through a hierarchical orthogonal matching pursuit (H-OMP) selection procedure to interactively select the parameters and orders of the two sub-systems under the frame of the compressive sensor.

TL;DR: The results obtained suggest that the introduction of the Modified-Caputo–Fabrizio fractional-order derivative can be applied in the future to many different scenarios in fractional dynamics.

TL;DR: In this paper, the Hermite-Hadamard inequalities for convex functions were established and applied to construct inequalities involving special means of real numbers, some error estimates for the formula midpoint were given, and new inequalities for some special and q -special functions were also pointed out.

TL;DR: A numerically stable algorithm based on the Haar wavelet collocation method (hwcm) for numerical solution of a class of Lane–Emden equation with Dirichlet, Neumann and Neumann–Robin type boundary conditions, arising in various physical models.

TL;DR: These results allow a new class of functional inequalities which generalizes known inequalities involving convex functions to be obtained, and may act as a useful source of inspiration for future research in convex analysis and related optimization fields.

TL;DR: This paper derives and analyze an exponentially accurate Jacobi spectral-collocation method for the numerical solution of nonlinear terminal value problems involving the Caputo fractional derivative of rational-order θ ∈ ( 0, 1 ) .

TL;DR: This paper establishes the robust Hamilton–Jacobi–Bellman equations for the post- default case and the pre-default case and derives the closed-form expressions of the optimal strategies and the corresponding value functions in both cases.

TL;DR: By virtue of some properties for the Riemann zeta function, the author finds a double inequality for the ratio of two non-zero neighbouring Bernoulli numbers and analyses the approximating accuracy of the double inequality.

TL;DR: A new family of continuous distributions called the odd Lomax-G class is introduced and four special models are provided, derived explicit expressions for the ordinary and incomplete moments, generating function, Renyi entropy, order statistics and probability weighted moments.

TL;DR: This work introduces an innovative non iterative technique that detects jumps/edges by identifying the local maxima of the normalized absolute values of the RBF interpolant coefficients, built-upon the compactly supported C 2 Wendland function and exploits its advantageous properties to provide a robust and low-cost method.

TL;DR: A new generalization called alpha power transformed inverse Lindley (APTIL) distribution is introduced that provides better fits than the inverseLindley distribution and some of its known generalizations.

TL;DR: The Marshall–Olkin alpha power family of distributions is introduced to extend the alpha power transform class defined by Mahdavi and Kundu (2017) and several other distributions and can be used quite effectively for real data analysis.

TL;DR: The proposed PRP conjugate gradient algorithm is shown to possess global convergence under inexact line search for nonconvex functions and has been shown to be competitive with those of similar algorithms.

TL;DR: A new hybrid algorithm, relied on support vector machines (SVMs) combined with the simulated annealing (SA) optimization technique, for predicting the calorific value (HHV) of biomass from operation input parameters determined experimentally during the torrefaction process.

TL;DR: The basic reproduction number R 0 is derived and it is proved that if R 0 1 , the disease-free equilibrium (DFE) is locally and globally asymptotically stable, in the case of R 0 > 1, and the necessary conditions for fractional optimal control of the disease are obtained.

TL;DR: A numerical method is applied for solving delay fractional optimal control problems (DFOCPs) using the operational matrix of the fractional derivative of Muntz polynomials and pseudospectral method to reduce the FOCP to a nonlinear programming problem.

TL;DR: T theoretical analyses indicate that the general four-step DTZD model is zero-stable, consistent and convergent with the truncation error of O ( g 4 ) , which denotes a vector with every entries being O (g 4 ) with g denoting the sampling period.

TL;DR: This study shows how to obtain least-squares solutions to initial and boundary value problems of ordinary nonlinear differential equations by using an approximate solution obtained by any existing integrator using a constrained expression derived from Theory of Connections.

TL;DR: A new mixed shock model is introduced that combines run and extreme shock models and reliability properties of the system are studied under two cases: when the interarrival time X i between the ( i − 1 ) th and i th shock, and the magnitude of the i thshock are dependent for all i.

TL;DR: Using fluctuation identities and scale functions, the joint Laplace transform of the total amount of dividends, the total number of dividends and the time to ruin are obtained.

TL;DR: It is proved that the set Stability of Boolean networks with SDD is equivalent to the set stability of augmented system, and a necessary and sufficient condition is presented by constructing a kind of set stability matrix.

TL;DR: A mechanism to guarantee that the inverse of any product of CRD matrices is generated in a subtraction-free manner is provided, and linear systems associated with products of Vandermonde and Cauchy matrices are solved to high relative accuracy.

TL;DR: A weak Galerkin(WG) finite element method for solving the one-dimensional Burgers' equation is proposed based on a new weak variational form and it is proved the existence of the discrete solution and optimal order error estimates in the discrete $H^1$-norm and $L^2-norm, respectively.

TL;DR: A new upscaled method for multicontinua flow problems in fractured porous media that is able to capture the interaction between matrix continua and discrete fractures on the coarse grid efficiently is developed.

TL;DR: A new shock model called Marshall–Olkin run shock model is defined and studied, and reliability and mean residual life functions of such components are studied when the times between shocks follow phase-type distribution.

TL;DR: A linear matrix inequality (LMI) approach is developed to establish sufficient conditions and novel delay-dependent conditions are established for the stochastic asymptotic stability of Markovian jumping BAM neural networks.