Adaptive radial basis function–generated finite differences method for contact problems
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DOI: 10.1002/nme.6067
Abstract: This paper proposes an original adaptive refinement framework using Radial Basis Functions-generated Finite Differences method. Node distributions are generated with a Poisson Disk Sampling-based algorithm from a given continuous density function, which is altered during… read more here.
Keywords: radial basis; generated finite; finite differences; differences method ... See more keywords
Neural networks catching up with finite differences in solving partial differential equations in higher dimensions
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DOI: 10.1007/s00521-020-04743-8
Abstract: Solving partial differential equations using neural networks is mostly a proof of concept approach. In the case of direct function approximation, a single neural network is constructed to be the solution of a particular boundary… read more here.
Keywords: partial differential; neural networks; finite differences; solution ... See more keywords
Asynchronous finite differences in most probable distribution with finite numbers of particles
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DOI: 10.1016/j.aop.2022.168884
Abstract: For a discrete function f (x) on a discrete set, the finite difference can be either forward and backward. If f (x) is a sum of two such functions f (x) = f1 (x)+ f2… read more here.
Keywords: distribution finite; probable distribution; finite numbers; differences probable ... See more keywords
Optimization of the Hardware Layer for IoT Systems Using a Trust-Region Method With Adaptive Forward Finite Differences
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DOI: 10.1109/jiot.2023.3234107
Abstract: Trust-region (TR) algorithms represent a popular class of local optimization methods. Owing to straightforward setup and low computational cost, TR routines based on linear models determined using forward finite differences (FDs) are often utilized for… read more here.
Keywords: finite differences; forward finite; method; iot systems ... See more keywords
Numerical Solution of Burger’s_Fisher Equation in One - Dimensional Using Finite Differences Methods
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DOI: 10.11648/j.fm.20180401.13
Abstract: In this paper the Burger’s_Fisher equation inone dimension has been solved by using three finite differences methods which are the explicit method, exponential method and DuFort_Frankel method After comparing the numerical results of those methods… read more here.
Keywords: fisher equation; finite differences; solution; burger fisher ... See more keywords
A Solution of Richards’ Equation by Generalized Finite Differences for Stationary Flow in a Dam
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DOI: 10.3390/math9141604
Abstract: The accurate description of the flow of water in porous media is of the greatest importance due to its numerous applications in several areas (groundwater, soil mechanics, etc.). The nonlinear Richards equation is often used… read more here.
Keywords: generalized finite; equation; finite differences; richards equation ... See more keywords