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Solitary wave solutions to higher-order traffic flow model with large diffusion
《Applied Mathematics and Mechanics(English Edition)》2014年第2期167-176,共10页菅肖霞 张鹏 S.C.WONG 乔殿梁 崔岐柱 
supported by the National Natural Science Foundation of China(Nos.11072141 and11272199);the National Basic Research Program of China(No.2012CB725404);the Shanghai Program for Innovative Research Team in Universities;the Research Grants Council of the Hong KongSpecial Administrative Region,China(No.HKU7184/10E);the National Research Foundationof Korea(MEST)(No.NRF-2010-0029446)
This paper uses the Taylor expansion to seek an approximate Korteweg- de Vries equation (KdV) solution to a higher-order traffic flow model with sufficiently large diffusion. It demonstrates the validity of the appr...
关键词:higher-order traffic flow model viscosity coefficient approximate Korteweg-de Vries equation (KdV) solution finite element scheme 
Shape analysis and damped oscillatory solutions for a class of nonlinear wave equation with quintic term
《Applied Mathematics and Mechanics(English Edition)》2014年第1期117-132,共16页李想 张卫国 李正明 Ji-bin LI 
Project supported by the National Natural Science Foundation of China(No.11071164);the Innovation Program of Shanghai Municipal Education Commission(No.13ZZ118);the Shanghai Leading Academic Discipline Project(No.XTKX2012);the Innovation Fund Project for Graduate Stu-dent of Shanghai(No.JWCXSL1201)
This paper aims at analyzing the shapes of the bounded traveling wave solu- tions for a class of nonlinear wave equation with a quintic term and obtaining its damped oscillatory solutions. The theory and method of pla...
关键词:nonlinear wave equation bounded traveling wave solution shape analysis approximate damped oscillatory solution error estimate 
Approximate solving method of shock for nonlinear disturbed coupled Schrdinger system
《Applied Mathematics and Mechanics(English Edition)》2012年第12期1583-1594,共12页姚静荪 欧阳成 陈丽华 莫嘉琪 
Project supported by the National Natural Science Foundation of China(No.41175058);the "Strategic Priority Research Program-Climate Change:Carbon Budget and Relevant Issues" of the Chinese Academy of Sciences(No.XDA01020304);the Natural Science Foundation from the Education Bureau of Anhui Province of China(No.KJ2011A135);the Natural Science Foundation of Zhejiang Province of China(No.Y6110502);the Foundation of the Education Department of Fujian Province of China (No.JA10288);the Natural Science Foundation of Jiangsu Province of China(No.BK2011042)
A class of nonlinear disturbed coupled SchrSdinger systems is studied. The specific technique is used to relate the exact and approximate solutions. The correspond- ing typical coupled system is considered. An exact s...
关键词:SchrSdinger system solitary wave asymptotic solution 
Approximate analytical solutions and approximate value of skin friction coeffcient for boundary layer of power law fluids
《Applied Mathematics and Mechanics(English Edition)》2008年第9期1215-1220,共6页苏晓红 郑连存 蒋锋 
the Science Foundation of North China Electric Power University(No.93210706)
This paper presents a theoretical analysis for laminar boundary layer flow in a power law non-Newtonian fluids. The Adomian analytical decomposition technique is presented and an approximate analytical solution is obt...
关键词:power law fluid nonlinear boundary value problem Adomian decomposi-tion 
Optimal obstacle control problem
《Applied Mathematics and Mechanics(English Edition)》2008年第5期559-569,共11页朱砾 李秀华 郭兴明 
the National Natural Science Foundation of China(No.10472061);the Ph.D.Programs Foundation of Ministry of Education of China(No.20060280015)
In the paper we discuss some properties of the state operators of the optimal obstacle control problem for elliptic variational inequality.Existence,uniqueness and regularity of the optimal control,problem are establi...
关键词:obstacle problem penalized method optimality system approximate problem 
METHOD BASED ON DUAL-QUADRATIC PROGRAMMING FOR FRAME STRUCTURAL OPTIMIZATION WITH LARGE SCALE
《Applied Mathematics and Mechanics(English Edition)》2006年第3期383-391,共9页隋允康 杜家政 郭英乔 
Project supported by the National Natural Science Foundation of China(No. 10472003) the Natural Science Foundation of Beijing(No.3002002) the Science Foundation of Beijing Municipal Commission of Education(No.KM200410005019)
The optimality criteria (OC) method and mathematical programming (MP) were combined to found the sectional optimization model of frame structures. Different methods were adopted to deal with the different constrai...
关键词:frame structures sectional optimization dual-quadratic programming approximate scaling step deletion of negative constraints 
PENDULUM WITH LINEAR DAMPING AND VARIABLE LENGTH
《Applied Mathematics and Mechanics(English Edition)》2004年第11期1271-1276,共6页蔡建平 杨翠红 李怡平 
The methods of multiple scales and approximate potential are used to study pendulums with linear damping and variable length. According to the order of the coefficient of friction compared with that of the slowly vary...
关键词:PENDULUM multiple scale method approximate potential slowly varying parameter 
APPROXIMATE SAMPLING THEOREM FOR BIVARIATE CONTINUOUS FUNCTION
《Applied Mathematics and Mechanics(English Edition)》2003年第11期1355-1361,共7页杨守志 程正兴 唐远炎 
the NSF of Henan Province (984051900);the NSF of Henan Education Committee (98110015);the Excellent Teacher Foundation of High School in Henan Province
An approximate solution of the refinement equation was given by its mask, and the approximate sampling theorem for bivariate continuous function was proved by applying the approximate solution . The approximate sampli...
关键词:approximate sampling theorem bivariate continuous signal refinement equation mask of refinement equation 
AN APPROXIMATE METHOD FOR DETERMING THE VELOCITY PROFILE IN A LAMINAR BOUNDARY-LAYER ON FLAT PLATE
《Applied Mathematics and Mechanics(English Edition)》1999年第4期112-117,共6页袁镒吾 刘又文 
In this paper, using the integration method, it is sought to solve the problem for the laminar boundary_layer on a flat plate. At first, a trial function of the velocity profile which satisfies the basical boundary co...
关键词:flat plate laminar flow BOUNDARY_LAYER velocity profile method of weighted residuals (MWR) 
BOUNDARY ELEMENT METHOD FOR SOLVING DYNAMICAL RESPONSE OF VISCOELASTIC THIN PLATE(Ⅱ)──THEORETICAL ANALYSIS被引量:2
《Applied Mathematics and Mechanics(English Edition)》1998年第2期101-110,共10页丁睿 朱正佑 程昌钧 
In this paper, the necessary theoretical analysis for the approximation boundary element method to solve dynamical response of viscoelastic thin plate presented in [1] is.discussed. The theorem of existence and uniq...
关键词:dynamic response VISCOELASTICITY approximate boundary elementmethod error estimation 
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