Systems of nonlinear equations

The fifth edition of this classic book continues its excellence in teaching numerical analysis and techniques. Interesting and timely applications motivate an understanding of methods and analysis of results. Suitable for students with mathematics and engineering backgrounds, the breadth of topics (partial differential equations, systems of nonlinear equations, and matrix algebra), provide comprehensive and flexible coverage of all aspects of all numerical analysis.

772p chipmoon 19-07-2012 145 42   Download

In this work, we propose a new alternative approximation based on the quasi-Newton approach for solving systems of nonlinear equations using the average of midpoint and Simpson’s quadrature. Our goal is to enhance the efficiency of the method (Broyden’s method) by reducing the number of iterations it takes to reach a solution.

11p danhdanh27 07-01-2019 23 0   Download

In this paper, we propose a method for investigating the solvability and iterative solution of coupled beams equations with fully nonlinear terms. Differently from other authors, we reduce the problem to an operator equation for the right-hand side functions. The advantage of the proposed method is that it does not require any Nagumo-type conditions for the nonlinear terms. Some examples, where exact solution of the problem are known or not, demonstrate the effectiveness of the obtained theoretical results.

22p nguaconbaynhay11 07-04-2021 4 0   Download

Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Positive solutions for a coupled system of nonlinear differential equations of mixed fractional orders

13p sting04 08-02-2012 33 5   Download

Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article A System of Nonlinear Operator Equations for a Mixed Family of Fuzzy and Crisp Operators in Probabilistic Normed Spaces

16p sting07 17-02-2012 55 4   Download

Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article Multipoint Singular Boundary-Value Problem for Systems of Nonlinear Differential Equations

20p sting08 18-02-2012 36 3   Download

Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: ENTIRE POSITIVE SOLUTION TO THE SYSTEM OF NONLINEAR ELLIPTIC EQUATIONS

11p dauphong18 09-03-2012 54 3   Download

Tuyển tập các báo cáo nghiên cứu về hóa học được đăng trên tạp chí hóa hoc quốc tế đề tài : Solving systems of nonlinear matrix equations involving Lipshitzian mappings

10p dauphong11 06-02-2012 25 2   Download

Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Exponential energy decay and blow-up of solutions for a system of nonlinear viscoelastic wave equations with strong damping

19p dauphong12 07-02-2012 38 2   Download

The paper present the so-called "an extended averaged equation approach" to the investigation of nonlinear vibration problems. The numerical results in analysing the vibration systems with weak, middle and strong non-linearity show the advantages of the method.

9p chikychiky 26-10-2018 16 0   Download

In this paper, we study the initial-boundary value problem for a system of nonlinear viscoelastic Petrovsky equations. Introducing suitable perturbed energy functionals and using the potential well method we prove uniform decay of solution energy under some restrictions on the initial data and the relaxation functions. Moreover, we establish a growth result for certain solutions with positive initial energy.

23p tuongvidanh 06-01-2019 25 0   Download

(bq) part 1 book "a second course in ordinary differential equations: dynamical systems and boundary value problems" has contents: introduction, systems of differential equations, nonlinear systems, boundary value problems.

154p bautroibinhyen19 02-03-2017 30 1   Download

We study the initial-boundary value problem for a system of nonlinear wave equations with nonlinear damping and source terms, in a bounded domain. The decay estimates of the energy function are established by using Nakao’s inequality. The nonexistence of global solutions is discussed under some conditions on the given parameters.

19p tuongvidanh 06-01-2019 23 0   Download

In this paper, a computational method based on a hybrid of parabolic and block-pulse functions is proposed to solve a system of linear and special nonlinear Fredholm integral equations of the second kind. The convergence and error bound are analyzed. Numerical examples are given to illustrate the efficiency of the method.

10p danhdanh27 07-01-2019 14 0   Download

In this article, we investigate the oscillatory behavior of a three-dimensional system of dynamic equations on an unbounded time scale. A time scale T is a nonempty closed subset of real numbers. An example is given to illustrate some of the results.

12p nutifooddau 21-01-2019 9 0   Download

In this paper, we consider a class of optimization problems of the following nature: there exist a fixed number k independent of the size n of the problem (1≤k

17p chauchaungayxua 20-10-2019 5 0   Download

It has been a great pleasure for me to have prepared the latest edition of my book on nonlinear optics. My intrigue in the subject matter of this book is as strong as it was when the first edition was published in 1992. The principal changes present in the third edition are as follows: (1) The book has been entirely rewritten using the SI system of units. I personally prefer the elegance of the gaussian system of units, which was used in the first two editions, but I realize that most readers would prefer the SI system, and the change was made for this reason. (2) In...

595p kuckucucu 15-05-2012 83 11   Download

Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article Existence and Uniqueness of Solutions for Coupled Systems of Higher-Order Nonlinear Fractional Differential Equations

17p sting06 13-02-2012 43 5   Download

Computers are one of the most important tools in any field of science and especially in physics. A student in an undergraduate lab will appreciate the help of a computer in calculating a result from a series of measurements. The more advanced researcher will use them for tasks like simulating an experiment, or solving complex systems of equations. Physics is deeply connected to mathematics and requires a lot of calculational skills. If one is only interested in a conceptual understanding of the field, or an estimate of the outcome of an experiment, simple calculus will probably suffice.

149p camnhung_1 13-12-2012 46 5   Download

Lecture "Fundamentals of control systems - Chapter 2: Mathematical models of continuous control systems" presentation of content: Presentation of content, transfer function, block diagram algebra, signal flow diagram, state space equation, linearized models of nonlinear systems.

120p doinhugiobay_17 04-03-2016 65 5   Download