Results 51 to 60 of about 7,549 (163)

Algebraic L2 Decay for Weak Solutions of the Nonlinear Heat Equations in Whole Space R3

Abstract and Applied Analysis, 2014
We obtained the algebraic L2 time decay rate for weak solutions of the nonlinear heat equations with the nonlinear term ∇u2u in whole space R3. The methods are based on energy methods and Fourier analysis technique.
Yuexing Yang
doaj   +1 more source

Numerical Solution of Nonlinear Fredholm Integrodifferential Equations by Hybrid of Block-Pulse Functions and Normalized Bernstein Polynomials

Abstract and Applied Analysis, 2013
A numerical method for solving nonlinear Fredholm integrodifferential equations is proposed. The method is based on hybrid functions approximate. The properties of hybrid of block pulse functions and orthonormal Bernstein polynomials are presented and ...
S. H. Behiry
doaj   +1 more source

A Double Iteration Process for Solving the Nonlinear Algebraic Equations, Especially for Ill-posed Nonlinear Algebraic Equations

Computer Modeling in Engineering & Sciences, 2014
In this paper, a novel double iteration process for solving the nonlinear algebraic equations is developed. In this process, the outer iteration controls the evolution path of the unknown vector x in the selected direction u which is determined from the inner iteration process.
Weichung Yeih, I-Yao Chan, Cheng-Yu Ku, Chia-Ming Fan, Pai-Chen Guan   +4 more
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Moment matching for nonlinear differential-algebraic equations

2016 IEEE 55th Conference on Decision and Control (CDC), 2016
The problem of model reduction by moment matching for nonlinear singular systems is considered. The notion of moment is extended to this class of systems by means of the center manifold theory. The characterization of the moments at infinity is discussed. A family of singular reduced order models achieving moment matching is presented.
openaire   +2 more sources

Nonlinear matrix equations and structured linear algebra

Linear Algebra and its Applications, 2006
The paper is a survey of results on nonlinear matrix equations (including quadratic and power series ones) that find their application in the theory of Markov chains, queueing theory, control theory, dynamic programming, stochastic filtering, spectral factorization and others.
openaire   +4 more sources

Review of algebraic attacks on stream ciphers

Tongxin xuebao, 2006
The basic theory and realizing methods of algebraic attacks on stream ciphers are presented.Then the algebraic attacks on stream ciphers with linear feedback shift register and the efficient techniques to decrease the degree of the nonlinear equations ...
ZHANG Long1, WU Wen-ling2, WEN Qiao-yan1
doaj   +2 more sources

An approximation technique for solving nonlinear oscillators

Journal of Low Frequency Noise, Vibration and Active Control
Recently, an approximation technique was presented for solving strong nonlinear oscillators modeled by second-order differential equations. Due to the arising of an algebraic complicity, the method fails to determine suitable solution of some important ...
Md Ashraful Huq, M Kamrul Hasan, MS Alam
doaj   +1 more source

Analytical investigation of soliton propagation in conformable fractional-order transmission line metamaterials. [PDF]

Sci Rep
Almetwally EM, Zayed MA, Abo-Hashem SI, Sadat R, Mabrouk SM, Rashed AS.   +5 more
europepmc   +1 more source

Analytical wave families and stability dynamics in a modified complex Ginzburg-Landau model via the modified extended direct algebraic method. [PDF]

Sci Rep
Rateb AE, Ahmed HM, Darwish A, Ammar M, Rabie WB.   +4 more
europepmc   +1 more source

Dynamic soliton solutions and stability analysis of the (2+1)-dimensional Wazwaz Kaur Boussinesq equation using an efficient method. [PDF]

Sci Rep
Elsonbaty NM, Ahmed HM, Badra NM, Rabie WB.   +3 more
europepmc   +1 more source