Results 291 to 300 of about 10,875,163 (358)
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Numerical solutions for the Helmholtz boundary value problems of anisotropic homogeneous media
Journal of Computational Physics, 2019Numerical solutions to boundary value problems governed by two-dimensional Helmholtz equation for anisotropic media is obtained. The standard BEM has been employed to obtain the solutions.
Moh. Ivan Azis
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2013
We look at the method of lines using standard initial-value problem (IVP) software for stiff problems. Both spectral methods and compact finite differences are used for the spatial derivatives. We look briefly at the transverse method of lines, which instead uses standard boundary value problem (BVP) software that has automatic mesh selection.
Robert M. Corless, Nicolas Fillion
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We look at the method of lines using standard initial-value problem (IVP) software for stiff problems. Both spectral methods and compact finite differences are used for the spatial derivatives. We look briefly at the transverse method of lines, which instead uses standard boundary value problem (BVP) software that has automatic mesh selection.
Robert M. Corless, Nicolas Fillion
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Communications in nonlinear science & numerical simulation, 2019
In this paper, analytical and numerical solutions of time and space fractional advection-diffusion-reaction equations are found. In general, by using Lie transformations, it is possible to reduce the fractional partial differential equations into ...
Alessandra Jannelli +2 more
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In this paper, analytical and numerical solutions of time and space fractional advection-diffusion-reaction equations are found. In general, by using Lie transformations, it is possible to reduce the fractional partial differential equations into ...
Alessandra Jannelli +2 more
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Chaos, Solitons & Fractals, 2018
In this article, by popularization of the reproducing kernel Hilbert space method in the sense of the Atangana–Baleanu fractional operator; set of first-order integrodifferential equations are solved with respect to Fredholm operator and initial ...
O. A. Arqub, Banan Maayah
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In this article, by popularization of the reproducing kernel Hilbert space method in the sense of the Atangana–Baleanu fractional operator; set of first-order integrodifferential equations are solved with respect to Fredholm operator and initial ...
O. A. Arqub, Banan Maayah
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Numerical Solution of Equations
2020Solving equations, and systems of equations, of all kinds, both algebraic and transcendental, is a very frequent task in a physicist’s life. Very often equations, particularly algebraic nonlinear equations and transcendental equations, have no analytical solutions. In this case we look for approximate numerical solutions.
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Numerical solutions of the Laplace’s equation
Applied Mathematics and Computation, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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2009
Abstract This chapter describes the method for numerical integration of the equations that underlie NeuroDynamix II models.
W. Otto Friesen, Jonathon A. Friesen
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Abstract This chapter describes the method for numerical integration of the equations that underlie NeuroDynamix II models.
W. Otto Friesen, Jonathon A. Friesen
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Numerical Solution of an Interdiffusion Problem
SIAM Journal on Numerical Analysis, 1992The interdiffusion problem of two alloys is studied. It is assumed that the alloys are brought into contact and then heated to a fixed temperature. The problem is considered to be one-dimensional, the time dependent change of concentration being caused by convective and diffusive fluxes, with the diffusion coefficient depending on the local ...
Fresnel, Christophe +1 more
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Fundamenta Informaticae, 2019
The aim of this article is to introduce the reproducing kernel algorithm for obtaining the numerical solutions of fractional order systems of Dirichlet function types.
O. A. Arqub
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The aim of this article is to introduce the reproducing kernel algorithm for obtaining the numerical solutions of fractional order systems of Dirichlet function types.
O. A. Arqub
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Reproducibility and the Concept of Numerical Solution
Minds and Machines, 2019In this paper, we show that reproducibility is a severe problem that concerns simulation models. The reproducibility problem challenges the concept of numerical solution and hence the conception of what a simulation actually does. We provide an expanded picture of simulation that makes visible those steps of simulation modeling that are numerically ...
Johannes Lenhard, Uwe Küster
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