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FOURTH-ORDER: 作品数：188被引量：202H指数：6; 导出分析报告; 相关领域：理学更多>>; 相关作者：王彩云裴明鹤禹海兰马焱许金鹏更多>>; 相关机构：南京航空航天大学北华大学师范分院东北电力学院中北大学更多>>; 相关期刊：更多>>; 相关基金：国家自然科学基金国家重点基础研究发展计划中国博士后科学基金教育部留学回国人员科研启动基金更多>>

A regularization method for delivering the fourth-order derivative of experimental data and its applications in fluid-structure interactions: 《Science China(Technological Sciences)》2025年第3期359-376,共18页Fan DUAN Jin-Jun WANG; supported by the National Natural Science Foundation of China(Grant Nos.12127802 and 11721202)。; In the experimental investigation of fluid-structure interactions regarding the undulatory motion like flag flapping or fish swimming,solving the force distribution on the flexible body stands as an indispensable ende...; 关键词：high-order numerical derivative REGULARIZATION FILM fluid-structure interactions bending force

Relativistic hyperpolarizabilities of atomic H,Li,and Be^(+)systems: 《Chinese Physics B》2025年第2期230-239,共10页Shan-Shan Lu Hong-Yuan Zheng Zong-Chao Yan James F.Babb Li-Yan Tang; supported by the National Natural Science Foundation of China(Grant Nos.12174402 and 12393821);the Strategic Priority Research Program of the Chinese Academy of Sciences(Grant Nos.XDB0920100 and XDB0920101);the Nature Science Foundation of Hubei Province(Grant Nos.2019CFA058 and 2022CFA013);supported by the Natural Sciences and Engineering Research Council of Canada(NSERC);supported in part by NSF grant PHY-2116679.All the calculations are finished on the APM-Theoretical Computing Cluster(APMTCC)。; For atoms in external electric fields,the hyperpolarizabilities are the coefficients describing the nonlinear interactions contributing to the induced energies at the fourth power of the applied electric fields.Accura...; 关键词：HYPERPOLARIZABILITIES Stark effect fourth-order perturbation few-electron atoms

The Finite Volume Element Method for Time-Fractional Nonlinear Fourth-Order Diffusion Equation with Time Delay: 《Engineering(科研)》2025年第1期53-72,共20页Anran Li Qing Yang; In this article, a finite volume element algorithm is presented and discussed for the numerical solutions of a time-fractional nonlinear fourth-order diffusion equation with time delay. By choosing the second-order sp...; 关键词：Time-Fractional Nonlinear Fourth-Order Diffusion Equation with Time Delay Finite Volume Element Method Caputo-Fractional Derivative Optimal Priori Error Analysis

A BICUBIC B-SPLINE FINITE ELEMENT METHOD FOR FOURTH-ORDER SEMILINEAR PARABOLIC OPTIMAL CONTROL PROBLEMS: 《Acta Mathematica Scientia》2024年第6期2411-2421,共11页Fangfang DU Tongjun SUN; supported by the National Natural Science Foundation of China(11871312,12131014);the Natural Science Foundation of Shandong Province,China(ZR2023MA086)。; A bicubic B-spline finite element method is proposed to solve optimal control problems governed by fourth-order semilinear parabolic partial differential equations.Its key feature is the selection of bicubic B-splines...; 关键词：bicubic B-spline finite element method optimal control problem Bogner-Fox-Schmit element Crank-Nicolson scheme numerical experiment

Control and vibration analyses of a sandwich doubly curved micro-composite shell with honeycomb,truss,and corrugated cores based on the fourth-order shear deformation theory: 《Applied Mathematics and Mechanics(English Edition)》2024年第10期1773-1790,共18页F.SHIRDELAN M.MOHAMMADIMEHR F.BARGOZINI; the Iranian Nanotechnology Development Committee for their financial support;University of Kashan for supporting this work by Grant No. 1223097/10;the micro and nanomechanics laboratory by Grant No. 14022023/5; Curved shells are increasingly utilized in applied engineering due to their shared characteristics with other sandwich structures,flexibility,and attractive appearance.However,the inability of controlling and regulati...; 关键词：vibration and control doubly curved shell micro-composite HONEYCOMB TRUSS corrugate core

Regularity and Convergence for the Fourth-Order Helmholtz Equations and an Application: 《Journal of Partial Differential Equations》2024年第3期309-325,共17页LI Jing PENG Weimin WANG Yue; supported by the National Natural Science Foundation of China under grants(No.11626156);supported by the Natural Science Foundation of Tianjin(No.20JCYBJC01410).; We study the regularity and convergence of solutions for the n-dimensional(n=2,3)fourth-order vector-valued Helmholtz equations u-βΔu+γ(-Δ)^(2)u=v for a given v in several Sobolev spaces,whereβ>0 andγ>0 are two ...; 关键词：Fourier multiplier theorem fourth-order Helmholtz equation REGULARITY CONVERGENCE

A combined Liouville integrable hierarchy associated with a fourth-order matrix spectral problem被引量：1: 《Communications in Theoretical Physics》2024年第7期1-8,共8页Wen-Xiu Ma; supported in part by NSFC under Grants 12271488, 11975145 and 11972291;the Ministry of Science and Technology of China (G2021016032L and G2023016011L);the Natural Science Foundation for Colleges and Universities in Jiangsu Province (17 KJB 110020); This paper aims to propose a fourth-order matrix spectral problem involving four potentials and generate an associated Liouville integrable hierarchy via the zero curvature formulation.A bi-Hamiltonian formulation is ...; 关键词：INTEGRABLE hierarchy HAMILTONIAN structure zero curvature equation LAX pair MATRIX spectral problem

Fourth-order phase-field modeling for brittle fracture in piezoelectric materials: 《Applied Mathematics and Mechanics(English Edition)》2024年第5期837-856,共20页Yu TAN Fan PENG Chang LIU Daiming PENG Xiangyu LI; Project supported by the National Natural Science Foundation of China(Nos.12072297 and12202370);the Natural Science Foundation of Sichuan Province of China(No.24NSFSC4777)。; Failure analyses of piezoelectric structures and devices are of engineering and scientific significance.In this paper,a fourth-order phase-field fracture model for piezoelectric solids is developed based on the Hamilt...; 关键词：isogeometric analysis(IGA) brittle fracture fourth-order phase-field model piezoelectric solid

A Compact Difference Scheme for Time-Space Fractional Nonlinear Diffusion-Wave Equations with Initial Singularity: 《Advances in Applied Mathematics and Mechanics》2024年第1期146-163,共18页Emadidin Gahalla Mohmed Elmahdi Sadia Arshad Jianfei Huang; supported by Natural Science Foundation of Jiangsu Province of China(Grant No.BK20201427);National Natural Science Foundation of China(Grant Nos.11701502 and 11871065)。; In this paper,we present a linearized compact difference scheme for onedimensional time-space fractional nonlinear diffusion-wave equations with initial boundary value conditions.The initial singularity of the solutio...; 关键词：Fractional nonlinear diffusion-wave equations finite difference method fourth-order compact operator STABILITY CONVERGENCE

Existence of Monotone Positive Solution for a Fourth-Order Three-Point BVP with Sign-Changing Green’s Function: 《Open Journal of Applied Sciences》2024年第1期63-69,共7页Junrui Yue Yun Zhang Qingyue Bai; This paper is concerned with the following fourth-order three-point boundary value problem , where , we discuss the existence of positive solutions to the above problem by applying to the fixed point theory in cones a...; 关键词：Fourth-Order Three-Point Boundary Value Problem Sign-Changing Green’s Function Fixed Point Index Iterative Technique Monotone Positive Solution EXISTENCE

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