Nonstandard finite differences numerical methods for a vegetation reaction–diffusion model [PDF]
Journal of Computational and Applied Mathematics, 2023 In this work we derive NonStandard Finite Differences (NSFDs) (Anguelov and Lubuma, 2001; Mickens, 2020) numerical schemes to solve a model consisting of reaction-diffusion Partial Differential Equations (PDEs) that describes the coexistence of plant ...
Dajana Conte +2 more
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Numerical solution of differential – difference equations having an interior layer using nonstandard finite differences [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2023 This paper addresses the solution of a differential-difference type equation having an interior layer behaviour. A difference scheme is suggested to solve this equation using a non-standard finite difference method.
K. Phaneendra, M. Lalu, R. Omkar
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Generalized nonstandard finite differences and physical applications
Computers in Physics, 1998 Nonstandard finite differences can be used to construct exact algorithms to solve some differential equations of physical interest such as the wave equation and Schrödinger’s equation. Even where exact algorithms do not exist, nonstandard finite differences can greatly improve the accuracy of low-order finite-difference algorithms with a computational ...
James B Cole
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Nonstandard finite differences for a truncated Bratu–Picard model [PDF]
Applied Mathematics and Computation, 2018 In this paper, we consider theoretical and numerical properties of a nonlinear boundary-value problem which is strongly related to the well-known Gelfand–Bratu model with parameter λ.
Paul Andries Zegeling +5 more
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Variance-Guided Regression for Heteroscedastic Data With a Grouping-Based Extension for Nonlinear Prediction. [PDF]
Stat MedABSTRACT Although homoscedasticity is often assumed in linear regression, real data may show variance patterns or residual structures that violate this assumption. We propose VarGuid, a variance‐guided framework for two related settings: Covariate‐dependent conditional variance under a global linear mean model, and residual nonlinear mean structure ...
Liu S, Lu M.
europepmc +2 more sources
The impact of anatomy variation on temperature based time of death estimation. [PDF]
Int J Legal Med, 2023 Temperature-based time of death estimation (TTDE) using simulation methods such as the finite element (FE) method promises higher accuracy and broader applicability in nonstandard cooling scenarios than established phenomenological methods.
Ullrich J +6 more
europepmc +2 more sources
Input Layer Regularization and Automated Regularization Hyperparameter Tuning for Myelin Water Estimation Using Deep Learning. [PDF]
NMR BiomedWe propose a novel deep learning algorithm for predicting the myelin water fraction from multiple gradient‐echo or spin‐echo pulse sequences arising in magnetic resonance relaxometry (MRR) measurements of the human brain. Our method incorporates both regularized nonlinear least squares and pure deep learning through a concatenation paradigm known as ...
Modi M +7 more
europepmc +2 more sources
Evolution of interface singularities in shallow water equations with variable bottom topography [PDF]
, 2022 Wave front propagation with nontrivial bottom topography is studied within the formalism of hyperbolic long wave models. Evolution of nonsmooth initial data is examined, and, in particular, the splitting of singular points and their short time behavior ...
Ortenzi, Giovanni, Pedroni, Marco
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Mesh-Centered Finite Differences from Nodal Finite Elements [PDF]
, 1996 After it is shown that the classical five points mesh-centered finite difference scheme can be derived from a low order nodal finite element scheme by using nonstandard quadrature formulae, higher order block mesh-centered finite difference schemes for ...
Hennart, Jean-Pierre, del Valle, Edmundo
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On the advantages of nonstandard finite differences discretizations for differential problems
, 2021 Explicit discretization schemes based on NonStandard Finite Differences (NSFD) represent a modication of Standard Finite Differences (SFD) schemes in which the classical denominators step-sizes are usually replaced by particular denominator functions ...
Paternoster Beatrice +2 more
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