Showing papers in "Journal of Computational and Applied Mathematics in 2021"

TL;DR: The use of BP neural network for early warning and assessment of Internet credit risk has good accuracy and computing efficiency, which expands the application of BP Neural network in the field of Internet finance, and provides a new development direction.

TL;DR: The supply chain financial risk assessment of SMEs is mainly explored from the perspective of banks and can provide theoretical support for reducing the probability of bank's profit damage and increasing the bank’s profitability.

TL;DR: This work numerically considers a thermoelastic problem where the thermal law is modeled using the so-called Moore–Gibson–Thompson equation, and a fully discrete algorithm is introduced and a discrete stability property is proved.

TL;DR: In this paper, Haar wavelet collocation technique is developed for the solution of Volterra and VFR fractional integro-differential equations, the Haar technique reduces the given equations to a system of linear algebraic equations and then solved by Gauss elimination method.

TL;DR: An efficient localized meshless technique for approximating the viscoelastic wave model by decomposing the initial domain into several sub-domains and constructing a local radial basis function approximation over every sub-domain is proposed.

TL;DR: A numerical method to find out the approximate solution for fractional integro-differential equations of variable order (FIDE-VO) is formulated and the applicability and accuracy of the recommended method will be demonstrated through some numerical applications.

TL;DR: The proposed isogeometric dual reciprocity boundary element method is proposed to solve transient heat transfer problems with heat sources and can provide a new idea for solving time-dependent problems by IGBEM.

TL;DR: The Lucas wavelets and their operational matrices provide the precise numerical scheme to get the approximate solution of fractional Fredholm–Volterra integro-differential equations and the upper bound of error is exhibited.

TL;DR: Numerically this work addresses the problem of characterization of the basic reproduction number as the spectral radius of next generation operators by reducing the relevant operators to matrices through a pseudospectral collocation, eventually computing the sought quantity by solving finite-dimensional eigenvalue problems.

TL;DR: In this paper, a singularity preserving regularization method for fractional derivatives of order α ∈ (0, 1 ) is proposed. And the convergence analysis is carried out and the optimal error estimates are obtained.

TL;DR: The spectral Galerkin approach in combination with the properties of shifted Legendre polynomials is used to reduce fractional pantograph equations to systems of algebraic equations, which are solved using any suitable solver.

TL;DR: Developing a medius error analysis for several nonconforming virtual element methods (VEMs) for the Poisson equation and the biharmonic equation in two dimensions with the family of polygonal meshes satisfying a very general geometric assumption.

TL;DR: Two Kransnoselskij projection type algorithms are presented for solving split feasibility problems and variational inequality problems in the class of enriched Kannan mappings and enriched Bianchini mappings, respectively.

TL;DR: The novelty of this work is to apply an appropriate norm on the proof of existence and uniqueness theorem, and discuss the application of Langevin differential equation with fractional orders in several interesting cases to the electrical circuit.

TL;DR: Theoretically, the proposed preconditioned GMRES method is uniquely solvable and unconditionally stable, with second order accuracy on both time and space, respectively, and it is proved that the proposed method enjoys the excellent computational advantage.

TL;DR: A spectral Galerkin scheme for the control problem using weighted Jacobi polynomials is presented and optimal error estimates of the spectral method for state, adjoint state and control variables are proved.

TL;DR: Three generalized auxiliary scalar variable approaches for developing, efficient energy stable numerical schemes for gradient systems are proposed andple numerical results are presented to validate the effectiveness and accuracy of the proposed G-SAV approaches.

TL;DR: The proposed framework is used to solve the one-dimensional convection–diffusion equation to further highlight the utility of the Theory of Functional Connections outside of hybrid systems.

TL;DR: It is necessary to pay attention to the changes of interest rates, real estate prices and stock prices when monitoring the systemic financial risks in China and China should establish an information system and a flexible macro-prudential supervision system.

TL;DR: The aim of this paper is to modify the truncated EM to establish a new positive preserving truncated Euler–Maruyama EM (PPTEM), and to simplify the proof as well as to make the theory more understandable, to develop a nonnegative preserving truncation EM (NPTEM) and then establish the PPTEM.

TL;DR: An abstract framework of the virtual element method is established for solving general elliptic hemivariational inequalities with or without constraint, and a unified a priori error analysis is given for both cases.

TL;DR: The presented approach does not exhibit the phenomenon of order reduction, typical of collocation based Runge–Kutta methods applied to stiff systems, since the introduced methods have uniform effective order of convergence on the overall integration interval.

TL;DR: The equivalence between the Levitin–Polyak well–posedness and existence of solution to this problem is shown and a new class of the controlled systems for FMQHIs is introduced.

TL;DR: Fuzzy optimal back propagation neural network (BPNN) can be used to calculate the cost and benefit and predict the financial benefit of investment projects.

TL;DR: A hybrid metaheuristic for an integrated order scheduling and maintenance planning model with position-based processing time, parallel-batching processing, and multiple manufacturers is proposed and the investigated problem is proved to be NP-hard.

TL;DR: A novel approach for calculating the Lie derivative of a function, even in the case where its analytical expression is not available, that is based on the Infinity Computer arithmetic is presented.

TL;DR: The robust equilibrium reinsurance-investment strategies and the corresponding equilibrium value functions of both insurers are established by solving the extended HJB equations under both the compound Poisson risk model and its diffusion-approximated model.

TL;DR: In this paper, a radial basis function mesh deformation technique is used to update the moving ice boundary resulting from aircraft icing simulations using radial basis functions deformation techniques, and the convergence history of the multi-level greedy point selection is assessed in terms of number of control points and computational cost.

TL;DR: This paper presents an error analysis for a second order accurate numerical scheme for the 2-D and 3-D Cahn-Hilliard (CH) equation, with an improved convergence constant, which depends on 1 e only in a polynomial order, instead of the exponential order.

TL;DR: Estimates for the time-dependent components in the spectral expansions are established and applied to prove uniqueness and existence in the classical sense of the diffusion equation with a general convolutional derivative in time.