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Inertial proximal point algorithm for the split common solution problem of monotone operator equations
Springer Science and Business Media LLC - Tập 42 Số 7 - 2023
Nguyen Song Ha, Truong Minh Tuyen, Phan Thi Van Huyen
Dynamical study of a prey–predator system with a commensal species competing with prey species: effect of time lag and alternative food source
Springer Science and Business Media LLC - Tập 34 - Trang 343-361 - 2014
O. P. Misra, Poonam Sinha, Chhatrapal Singh Sikarwar
In the present paper, we have studied a model for three species system with time lag considering two competing species and a predator species which is partially coupled with an alternative prey. It is also considered in the model that one of the competing population (commensal species) is supported by the predator species (host species). All the equilibrium points of the model are derived which ar... hiện toàn bộ
Numerical scheme for singularly perturbed Fredholm integro-differential equations with non-local boundary conditions
Springer Science and Business Media LLC - - 2024
Lolugu Govindarao, Higinio Ramos, Sekar Elango
This paper solves a class of Fredholm integro-differential equations involving a small parameter with integral boundary conditions numerically. The solution to the problem possesses boundary layers at both end boundaries. A central difference scheme is used for approximating the derivatives. In contrast, the trapezoidal rule is used for the integral term, provided an appropriately adapted mesh is ... hiện toàn bộ
Numerical analysis of time fractional Black–Scholes European option pricing model arising in financial market
Springer Science and Business Media LLC - Tập 38 - Trang 1-24 - 2019
Ahmad Golbabai, Omid Nikan, Touraj Nikazad
The price variation of the correlated fractal transmission system is used to deduce the fractional Black–Scholes model that has an $$\alpha $$ -order time fractional derivative. The fractional Black–Scholes model is employed to price American or European call and put options on a stock paying on a non-dividend basis. Upon encountering fractional differential equations, the efficient and relatively... hiện toàn bộ
Piezoelectric sensor location by the observability Gramian maximization using topology optimization
Springer Science and Business Media LLC - Tập 37 - Trang 237-252 - 2017
Odair Menuzzi, Jun S. O. Fonseca, Eduardo A. Perondi, Juliano F. Gonçalves, Eduardo Padoin, Otávio A. A. Silveira
This work presents an optimal design methodology for piezoelectric material positioning in structures aiming at vibration measurements. The main objective is to find the optimal location of piezoelectric sensors using a suitable topology optimization strategy. The sensors location is determined by an optimization formulation that defines where the material should have piezoelectric properties. The... hiện toàn bộ
Digitizations associated with several types of digital topological approaches
Springer Science and Business Media LLC - Tập 36 - Trang 571-597 - 2015
Jeong Min Kang, Sang-Eon Han, Kyung Chan Min
When digitizing subspaces in the Euclidean subspace in a certain digital topological approach, we are strongly required to preserve topological properties of the given spaces such as connectedness. Thus the present paper studies four kinds of local rules associated with lower limit, upper limit, Khalimsky and Marcus Wyse (for short, L-, U-, K- and M-, respectively) topologies which are used for L-... hiện toàn bộ
Robust $${{H}_{\infty }}$$ control for uncertain Takagi–Sugeno fuzzy systems with state and input time-varying delays
Springer Science and Business Media LLC - Tập 41 - Trang 1-23 - 2022
Di Mao, Yuechao Ma
This paper puts forward an augmented Lyapunov–Krasovskii functional (LKF) method to investigate the robust $${{H}_{\infty }}$$ control problem of uncertain Takagi–Sugeno fuzzy systems (TSFSs) with delays which includes delay-product-type terms. On the basis of the new augmented LKF and improved boundary techniques, the sufficient asymptotic stability condition is derived in this paper. And the rob... hiện toàn bộ
A high order convergent adaptive numerical method for singularly perturbed nonlinear systems
Springer Science and Business Media LLC - Tập 41 - Trang 1-16 - 2022
Sumit, Shashikant Kumar, Sunil Kumar
In this work, we develop a high order convergent adaptive numerical method for a system of first-order singularly perturbed nonlinear differential equations with distinct perturbation parameters. The problem is discretized by a hybrid finite difference scheme for which a posteriori error estimate in the maximum norm is derived. The layer-adapted meshes are generated using equidistribution of the m... hiện toàn bộ
An efficient numerical algorithm for solving nonlinear fractional Volterra integro-differential equation
Springer Science and Business Media LLC - Tập 43 - Trang 1-21 - 2024
Xuefei Dai, Chaoyue Guan, Jing Niu
The goal of this paper is to contribute a firm and outstanding program to nonlinear fractional Volterra integro-differential equations with the initial value problem on the basis of the reproducing kernel method (RKM). To a certain extent, the difficulty of preserving memory of fractional differential operators is reduced. At the beginning, the model can be converted to the equivalent fractional V... hiện toàn bộ
A collocation method based on localized radial basis functions with reproducibility for nonlocal diffusion models
Springer Science and Business Media LLC - Tập 40 Số 8 - 2021
Jiashu Lu, Yufeng Nie
Tổng số: 1,744   
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