nonlinear one-dimensional solution
EXPONENTIAL B-SPLINE COLLOCATION METHOD FOR THE NUMERICAL SOLUTION OF ONE-SPACE DIMENSIONAL NONLINEAR WAVE EQUATION WITH STRONG STABILITY PRESERVING TIME INTEGRATION
... In this paper, a new numerical method is presented to approximate the solution of second order one- dimensional nonlinear wave equation. The method is based on collocation of exponential ...
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The Riemann problem for a one-dimensional nonlinear wave system with different gamma laws
... a one-dimensional nonlinear wave system with different gamma laws is ...Riemann solution is ...Riemann solution is stable for such perturbation of the initial ...
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AN APPROXIMATE ANALYTICAL SOLUTION OF ONE-DIMENSIONAL GROUNDWATER RECHARGE BY SPREADING
... of one dimensional groundwater recharge in the vertical ...and nonlinear conductivity and diffusivity functions, three cases are considered for Brooks- Corey ...governing nonlinear partial ...
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Universal attractor for nonlinear one-dimensional compressible and radiative MHD flow
... a one- dimensional plane MHD compressible flow, and proved that as the shear viscosity goes to zero, global weak solutions converge to a solution of the original equations with zero shear ...
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Numerical Approximation to Nonlinear One Dimensional Coupled Reaction Diffusion System
... as we explained in methodology section [27] [28] [29] [31] [35] [36]. Jacobean found with the help of Newton’s iterative method [36] [38], whereas tridiagonal nature of the linear obtained system is solved by Crout’s or ...
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General Nonlinear-Material Elasticity in Classical One-Dimensional Solid Mechanics
... of nonlinear inelastic column buckling, and two years later in 1891 Armand Gabriel Consid´ ere [72] proposed the double modulus ...to nonlinear material behavior and functional approximations of established ...
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One-dimensional nonlinear stability of pathological detonations
... To perform the numerical simulations in this paper we use the hierarchical adaptive code, µCobra, which has been developed for industrial applications by Mantis Nu- merics Ltd., and is described in Falle & Giddings ...
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Using modified two-dimensional block-pulse functions for the numerical solution of nonlinear two-dimensional Volterra integral equations
... the solution of one-dimensional Volterra integral equations are known, for two-dimensional only a few are discussed in the ...merical solution of equations of the type of ...collocation ...
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Low coherence interferometric imaging: solution of the one dimensional inverse scattering problem
... The first step in our nonlinear solve is to identify the measurement peaks which indicate the presence of interface layers. To do this we search for the measured values of |Σ| above a certain threshold T thresh ; ...
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Numerical Solution of Burger’s_Fisher Equation in One - Dimensional Using Finite Differences Methods
... highly nonlinear equation because it is a combination of reaction, convection and diffusion mechanisms, this equation is called Burgers-Fisher because it has the properties of convective phenomenon from Burgers ...
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Determination of a time-dependent thermal diffusivity and free boundary in heat conduction
... the one-phase Stefan problem can be regarded as an inverse ...numerical solution of inverse Stefan problems using the method of fundamental ...dependent nonlinear inverse ...
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The Solution of a Coupled Nonlinear System Arising in a Three Dimensional Rotating Flow Using Spline Method
... In fluid mechanics, the problems associated with the flow that occurs due to the rotation of a single disk or that between two rotating disks have been found of interest of many researchers. Flows between finite disks ...
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Exact solution of the(2+1)-dimensional hyperbolic nonlinear Schrodinger equation by Adomian decomposition method
... of nonlinear partial differential equations (PDEs) is one of the most important and essential tasks which help us for better understanding of nonlinear complex physical ...
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AN APPROXIMATE SOLUTION OF TWO DIMENSIONAL NONLINEAR VOLTERRA INTEGRAL EQUATION USING NEWTON-KANTOROVICH METHOD
... two dimensional integral (NLTD) equations of the second kind have been exploited in several areas, including non homogeneous elasticity and electrostatics (Sankar ...the solution of one- ...
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A Trapezoidal Like Integrator for the Numerical Solution of One Dimensional Time Dependent Schrödinger Equation
... Schrodinger equation has a wide range of application in physics varying from optics, propagation of electric field in optical fibers, self-focusing and self-modulation of trains in monochromatic wave in nonlinear ...
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Statistical properties of nonlinear one-dimensional wave fields
... cal solution quantitatively, we calculated the phase velocities and amplitudes of the Fourier components for consecutive moments of time, and obtained their temporal means and standard deviations over the period ...
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Vol 2014
... Analytical solution and numerical solutions of Burgers equation with fixed domain are discussed by many authors in [Alireza,Hashemian (2008), Edris Dag Ali sahin (2007), ...for one dimensional ...
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An Approximate Analytical Solution of Nonlinear Differential Equation Arising In 95 Fluid Flow through Homogeneous Porous Media
... analytical solution of one dimensional nonlinear partial differential equation arising in oil-water displacement process (instability) in a homogeneous porous medium using the homotopy ...
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... A previously developed method of generating uniformly valid, multiple- scale asymptotic expansions for the solution of weakly nonlinear one-dimensional wave equations is applied to problems ...
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On the Cauchy problem for systems of conservation laws
... This paper contains an informal discussion of recent results concerning the well posedness of the Cauchy problem for a nonlinear system of conservation laws in one space dimension. The system is assumed to ...
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