Results 31 to 40 of about 1,089,385 (313)
A Laplace transform finite difference scheme for the Fisher-KPP equation
Journal of Algorithms & Computational Technology, 2021 This paper proposes a numerical approach to the solution of the Fisher-KPP reaction-diffusion equation in which the space variable is developed using a purely finite difference scheme and the time development is obtained using a hybrid Laplace Transform ...
Colin L Defreitas, Steve J Kane
doaj +1 more source
Finite‐difference scheme for one problem of nonlinear optics
Mathematical Modelling and Analysis, 2008 We consider a mathematical model, which describes Q‐switching process. The finite difference scheme is developed for approximation of the given system of nonlinear PDEs.
Ingrida Laukaityte, Raimondas Čiegis
doaj +1 more source
Heat capacity estimators for random series path-integral methods by finite-difference schemes [PDF]
, 2003 Previous heat capacity estimators used in path integral simulations either have large variances that grow to infinity with the number of path variables or require the evaluation of first and second order derivatives of the potential. In the present paper,
Doll, J. D. +3 more
core +4 more sources
A dynamically consistent nonstandard finite difference scheme for a predator–prey model
Advances in Differential Equations, 2019 The interaction between prey and predator is one of the most fundamental processes in ecology. Discrete-time models are frequently used for describing the dynamics of predator and prey interaction with non-overlapping generations, such that a new ...
M. S. Shabbir +4 more
semanticscholar +1 more source
A Mixed Finite Differences Scheme for Gradient Approximation [PDF]
Journal of Optimization Theory and Applications, 2022 AbstractIn this paper, we focus on the linear functionals defining an approximate version of the gradient of a function. These functionals are often used when dealing with optimization problems where the computation of the gradient of the objective function is costly or the objective function values are affected by some noise.
Marco Boresta +3 more
openaire +2 more sources
Deep FDM: Enhanced finite difference methods by deep learning
Franklin Open, 2023 In this work, we propose a new idea to improve numerical methods for solving partial differential equations (PDEs) through a deep learning approach.
Tatiana Kossaczká +2 more
doaj +1 more source
Nonstandard finite difference scheme for control of measles epidemiology
International Journal of Advances in Applied Sciences, 2019 This paper is based on the analysis of SEIR measles models, which are used to study the integrating vaccination as a control strategy and taking the two stages of infectiousness and transmission dynamics of infectious diseases in a population. Measles is
Farah Ashraf, M. O. Ahmad
semanticscholar +1 more source
A Two-Dimensional MagnetoHydrodynamics Scheme for General Unstructured Grids [PDF]
, 2007 We report a new finite-difference scheme for two-dimensional magnetohydrodynamics (MHD) simulations, with and without rotation, in unstructured grids with quadrilateral cells.
Adam Burrows +6 more
core +3 more sources
Finite Difference Schemes for Differential Equations [PDF]
Mathematics of Computation, 1964 (1) ~~~~~L = d p(x) d + q(x) and the related variational problem for the functional b ~~~~~~~~~~b (2) Q(u) = ] (pu'2 + qu') dx - 2 fu dx viz., min Q(u) uE Q where the class Q consists of smooth functions u(x) satisfying u(a) = u(b) = 0. Following Ritz, the solution of the variational problem may be discussed within the framework of the direct methods ...
openaire +2 more sources
MATEC Web of Conferences, 2017 Modification of the Lagrange interpolating polynomial (LIP) scheme for using with the finite difference method is proposed. Merits of the modified LIP scheme used with the finite difference method for problem solving are facile to discretize equations ...
Prasopchingchana Uthai
doaj +1 more source