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Showing 1 to 20 of 36 for “"nonlinear equation"”.
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Exact solutions and conservation laws of two-wave mode Kadomtsev-Petviashvili equation and a nonintegrable nonlinear equation
In this dissertation we study three nonlinear partial differential equations namely the Korteweg-de Vries (KdV) equation as an illustrative example, nonintegrable nonlinear equation and two-wave mode Kadomtsev-Petviashvili (TKP) equation. We employ the multiplier method to find conservation laws. …
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The interaction of shock waves and dispersive waves
… analyze a coupled system of partial differential equations which model the interaction of shocks with a dispersive wave envelope. The system mimics the Zakharov equations from weak plasma turbulence theory but replaces the linear wave equation in that system by a nonlinear equation allowing shock …
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Formulações e métodos de solução na análise não-linear de treliças espaciais
… formulations for geometrically and materially nonlinear analysis of space trusses, and the most commonly used nonlinear equation solution algorithms. These formulations, and two others; are implemented in the ANALITE program. The Total Lagrangean and Updated Lagrangean formulations are …
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Quasi-Newton Methods for Nonlinear Programming
… updates for use in a quasi-Newton method for nonlinear programming. We show how these updates model the underlying nonlinear equation better than the standard symmetric updates and also how they require less overall work for large problems.
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A Biometrical and Genetic Study of Tribolium Egg Production Curves as A Model for Lactation Curves
… has been conducted to find a mathematical equation that describes the nonlinear lactation curve of dairy cattle. The most common method to obtain parameter estimates for these mathematical equations has been to transform the nonlinear function to its linear counterpart and then find …
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An F4-Style Involutive Basis Algorithm
<p>How to solve a linear equation system? The echelon form of this system will be obtained by Gaussian elimination then give us the solution. Similarly, Gröbner Basis is the “nice form” of nonlinear equation systems that can span all the polynomials in the given ideal [4]. So we can use Gröbner …
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Analysis of hydrologic systems
… but also to natural catchments. The general equation describing the relationship between surface runoff and rainfall excess of a hydrologic system is a second order nonlinear equation. The damping coefficient for hydrologic systems is approximately unity and the other parameters in the …
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Aplicação do método da superposição modal na análise estática não linear de estruturas
… utilized as an efficient procedure for geometric nonlinear static analysis of thin-type structures with a mild nonlinear pre-buckling behaviour. This work presents a modal method extension where both geometric and physical nonlinearities are considered. For problems which the mild nonlinearity …
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ΑΣΤΑΘΗΣ ΡΟΗ ΣΕ ΚΑΡΣΤΙΚΑ ΥΔΡΟΦΟΡΑ ΣΤΡΩΜΑΤΑ ΜΕ ΤΗ ΜΕΘΟΔΟ ΤΩΝ ΠΕΠΕΡΑΣΜΕΝΩΝ ΣΤΟΙΧΕΙΩΝ
… UPPER LIMIT OF THE VALIDITY OF DARCY'S LAW. THE NONLINEAR EQUATION, WHICH GOVERNS NON-DARCIAN FLOW OF GROUNDWATER THROUGH FRACTURED MEDIA OF DOUBLE POROSITY, IS SOLVED NUMERICALLY USING FINITE ELEMENT METHOD. TWO MAIN COMPUTATIONAL SCHEMES ARE DEVELOPED TO DESCRIBE THE UNSTEADY, TWO-DIMENSIONAL …
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Asymptotic Analysis of Perturbations to Travelling Wave Solutions of Nonlinear Advection-Reaction-Diffusion Equations of Fisher Type
In this thesis we examine some nonlinear advection-diffusion-reaction equations of Fisher type. First we discuss the stability properties of the equations by writing each nonlinear equation as a system of two ordinary different equations and then analyzing the stability of their equilibrium …
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El método de Newton en espacios de Banach
… is a well known iterative method to solve a nonlinear equation F(x) = 0. We analyze the convergence of this method for operators defined between two Banach spaces, so our results can be applied in a wide range of problems, such as real or complex equations, nonlinear systems of equations, …
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Dynamics of Nonlinear Diffusion Processes
<p>The purpose of this thesis is to analyze nonlinear diffusion processes. In particular, some of the results arrived at by Newman and Sagan in their 1981 paper "Galactic Civilizations: Population Dynamics and Interstellar Diffusion," will be reproduced by different means. First, a thorough …
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An approximation to the solution of hyperbolic equation by homotopy analysis method
… the approximation solution of hyperbolic equation. Hyperbolic equation is a one of the class of Partial Differential Equation (PDE). PDE is one of the basic areas of applied analysis, and it is difficult to imagine any area of applications where its impact is not felt. In recent decades, …
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Architectural Level Test Generation and Fault Simulation
… path or control. The second approach, based on a nonlinear equation solving, is proposed to overcome the difficulties. The test generation process is separated into two phases. An instruction sequence assembling methodology is developed in the first phase to search for a valid instruction sequence …
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Coupled mode reductions and rotating wave approximations in nonlinear equations
… of coupled mode theory in the cubic-quintic nonlinear Schrodinger/Gross Pitaevskii (NLS/GP) equation with a linear double-well potential and study justifications of the rotating wave approximations in lattice systems. First, we study the long-time dynamics near a symmetry breaking bifurcation …
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Theory and Algorithms for Nonlinear Optimization and Variational Inequalities
We consider three separate topics in nonlinear optimization, one theoretical topic and two algorithmic topics. Each of these topics deals with a broad class of nonlinear optimization problems. We first introduce and analyze a generalized parametric variational inequality problem $PVI(E, T, C, …
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Simultaneous Modeling and Optimization of a Cascade of Electrochemical Reactors
… into consideration. The system includes both nonlinear algebraic and differential equations. An orthogonal collocation technique was used to approximate the differential equation. An efficient and reliable nonlinear equation solver based on a modification of Powell's dogleg method called NEQLU …
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The production of temperature and salinity variance and covariance : implications for mixing
… spice variance under the assumption of a linear equation of state. As a consequence, it is possible to estimate the relative importance of isopycnal and diapycnal mixing in the ocean. While isopycnal and diapycnal processes occur on very different length scales, I find that the surface-driven …
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Stability of planar fronts for a class of reaction diffusion systems
… stability results for reaction diffusion equations of this type. Using spaces with exponential weights, we shift the spectrum of the differential operator obtained by linearizing the equation about the front into the stable half-plane, and study the nonlinear equation on the intersection …
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Analysis of a partial differential equation related to pressure-driven separations of binary liquids
… distribution in a binary liquid. The governing equations involve conservation of mass, momentum, energy, and species, which we simplify to a model involving only a diffusion-like equation for conservation of species, based on neglecting the effects of mass transfer on conservation of momentum …
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