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MOLMore Or Less
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MOLMaximum Overall Length (lighting)
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MOLMethod of Layers
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References in periodicals archive ?
measuring the absolute error between nonlinear Green's solution [w.sub.Green's] and the numerical solution [w.sub.MoL], derived by means of the method of lines, in degrees of 10.
We take [DELTA]x = 0.01 (i.e., N = 100) for the numerical method of lines; thus the condition [alpha] + [[beta].sub.1] + [[beta].sub.2] ([[gamma].sub.1] + [[gamma].sub.2])/(1 - [delta]) [less than or equal to] 0 (< 0) is satisfied, which means the analytical solution of the problem (49) is stable and asymptotically stable.
The aim of the paper is to construct a method of lines for diffusion equations in three-component system with Neumann boundary conditions.
Banaja, "The method of lines solution of the regularized long-wave equation using Runge-Kutta time discretization method," Mathematical Problems in Engineering, vol.
Cui, "Investigations on the propagation of the substrate integrated waveguide based on the method of lines," IEE Proceedings: Microwaves, Antennas and Propagation, vol.
There is an ample literature on the numerical method of lines for evolution differential or functional differential equations.
The modifications of the (SSDA) enable the method to be applied for arbitrary shaped structures that cannot be easily solved using the conventional method of lines (MOL) or (SSDA).
Keywords: Heat equation, Boundary integral specifications, Third order numerical methods, Method of lines, Parallel algorithm
The Method of Lines is a numerical method for solving partial differential equations that describe physical phenomena, and Pregla (Fern U., Hagen, Germany) explains how it can be applied to electromagnetic fields and waves.
The method of lines is not embarrassingly parallel because even an explicit ODE solver will need to keep all parts of the solution at the same time level.
The text contains problems and worked examples, plus appendices on determinants and matrices, MATLAB for numerical method of lines, other examples of program applications.
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