检索结果-南通市图书馆

Numerical modeling of the transmission dynamics of drug-sensitive and drug-resistant HSV-2

在线全文

学校读者我要写书评

暂无评论

Communications in Nonlinear Science and Numerical Simulation 2001年第1期6卷 23-27页

作者： A. B. GUMEL(Department of Mathematics, University of Manitoba, Winnipeg, Manitoba, R3T 2N2, Canada ) Department of Mathematics University of Manitoba Winnipeg Manitoba R3T 2N2 Canada

A competitive finite-difference method will be constructed and used to solve a modified deterministic model for the spread of herpes simplex virus type-2 (HSV-2) within a given population. The model monitors the transmission dynamics and control of drug-sensitive and drug-resistant HSV-2. Unlike the fourth-order Runge-Kutta method (RK4), which fails when the discretization parameters exceed certain values, the novel numerical method to be developed in this paper gives convergent results for all parameter values.

关键词： HSV-2 finite-difference initial-value problem numerical instabilities positivity

A Riemann-Hilbert Approach to the Harry-Dym Equation on the Line

在线全文

同方期刊数据库

学校读者我要写书评

暂无评论

Chinese Annals of Mathematics,Series B 2016年第3期37卷 373-384页

作者： Yu XIAO Engui FAN Department of Mathematics Fudan University

In this paper, the authors consider the Harry-Dym equation on the line with decaying initial value. They construct the solution of the Harry-Dym equation via the solution of a 2 × 2 matrix Riemann-Hilbert problem in ... 详细信息

关键词： Harry-Dym equation Riemann-Hilbert problem initial-value problem One-cusp soliton solution

A Riemann-Hilbert Approach to the Chen-Lee-Liu Equation on the Half Line

在线全文

学校读者我要写书评

暂无评论

Acta Mathematicae Applicatae Sinica 2018年第3期34卷 493-515页

作者： Ning ZHANG Tie-cheng XIA En-gui FAN Department of Basical Courses Shandong University of Science and Technology Taian 271019 China Department of Mathematics Shanghai University Shanghai 200444 China School of Mathematical Sciences Fudan University Shanghai 200433 China

In this paper, the Fokas unified method is used to analyze the initial-boundary value for the ChenLee-Liu equation i？tu ＋？xxu-i｜u2｜？xu = 0 on the half line（-∞, 0] with decaying initial value. Assuming that the solution u（x, t） exists, we show that it can be represented in terms of the solution of a matrix Riemann-Hilbert problem formulated in the plane of the complex spectral parameter λ. The jump matrix has explicit（x, t） dependence and is given in terms of the spectral functions{a（λ）, b（λ）}and{A（λ）, B（λ）}, which are obtained from the initial data u0（x） = u（x, 0） and the boundary data g0（t） = u（0, t）, g1（t） = ux（0, t）, respectively. The spectral functions are not independent,but satisfy a so-called global relation.

关键词： Chen-Lee-Liu equation initial-value problem RiemannIHilbert problem Fokas unified method jump matrix

Approximate Generalized Conditional Symmetries and Solutions for Nonlinear Filtration Equation with a Small Parameter

在线全文

学校读者我要写书评

暂无评论

Wuhan University Journal of Natural Sciences 2015年第6期20卷 461-464页

作者： LI Hong LI Jina WANG Yanyan ZUO Suli College of Science Zhongyuan University of Technology School of Mathematics Northwest University

The approximate generalized conditional symmetries of nonlinear filtration equation with a small parameter are studied. The initial-value problem of the equation can be transformed to perturbed Cauchy problem of perturbed first-order ordinary dif- ferential equations systems and approximate solutions are obtained by using these symmetries.

关键词： nonlinear filtration equation approximate solution initial-value problem

ON THE VARIATIONAL PRINCIPLES IN LINEAR ELASTODYNAMICS

在线全文

学校读者我要写书评

暂无评论

Acta Mechanica Sinica 1988年第4期4卷 337-349页

作者： Luo En (Department of Mechanics,Zhongshan University,Guangzhou)Cheung Y. K. (Department of Civil and Structural Engineering,University of Hong Kong,Hong Kong) 1. Department of Mechanics Zhongshan University Guangzhou2. Department of Civil and Structural Engineering University of Hong Kong Hong Kong

A new approach is proposed for the systematic derivation of various variational principles inlinear *** on an important integral relation in terms of convolutions given by the authors,the new approach can be used to derive the complementary functionals for the five-field,four-field,three-field,two-field and one-field variational principles more simply and ***,with thisapproach,it is possible not only to derive the variational principles given by Herrera and Bielak,Oden andReddy,but also to develop new more general variational *** the intrinsic relationship amongvarious principles can be explained clearly.

关键词： variational principle linear elastodynamics initial-value problem combinatorial generalized variational principle

Variation evolving for optimal control computation in the primal space

在线全文

同方期刊数据库

学校读者我要写书评

暂无评论

Variation evolving for optimal control computation in the pr...