Chebfun Solutions to a Class of 1D Singular and Nonlinear Boundary Value Problems
The Chebyshev collocation method implemented in Chebfun is used in order to solve a class of second order one-dimensional singular and genuinely nonlinear boundary value problems.
Călin-Ioan Gheorghiu
doaj +1 more source
Sustainable Production Planning: Insights Into Factors, Models, and Solution Methods
ABSTRACT Effective resource management remains a major challenge for organizations seeking to balance economic efficiency with environmental and social responsibility. In this context, production planning becomes a strategic mechanism for integrating sustainability into industrial operations.
Daysi Ortiz +2 more
wiley +1 more source
(Beta, Gamma) - Chebyshev functions and theirs application to the Gibbs and Runge phenomenons
openIn questo elaborato presentiamo le (β, γ)-funzioni di Chebyshev e i corrispondenti (β, γ)-punti di Chebyshev. Mostriamo che possono essere considerati come una gene- ralizzazione dei polinomi di Chebyshev, analizzando le loro proprietà piu ...
MARIETHOZ, JEAN-ZACHARIE
core
Modelling of natural convection flows with large temperature differences : a benchmark problem for low Mach number solvers. Part 1, Reference solutions [PDF]
There are very few reference solutions in the literature on non-Boussinesq natural convection flows. We propose here a test case problem which extends the well-known De Vahl Davis differentially heated square cavity problem to the case of large ...
Catherine Weisman +22 more
core +1 more source
Chebyshev nets from commuting PolyVector fields [PDF]
We propose a method for computing global Chebyshev nets on triangular meshes. We formulate the corresponding global parameterization problem in terms of commuting PolyVector fields, and design an efficient optimization method to solve it. We compute, for
Sageman-Furnas, Andrew O. +5 more
core +2 more sources
The main question addressed in this study is whether a newly constructed orthogonal basis, which is a combination of first- and second-kind Chebyshev polynomials, can provide a more accurate and efficient numerical method for solving fractional integro ...
Samiye Akhlaghi +2 more
doaj +1 more source
Novel Numerical Investigation of Reaction Diffusion Equation Arising in Oil Price Modeling
Consideration is given to a reaction–diffusion free boundary value problem with one or two turning points arising in oil price modeling. First, an exact (analytical) solution to the reduced problem (i.e., no diffusion term) was obtained for some given ...
Fehaid Salem Alshammari
doaj +1 more source
Numerical Solution of a Free Boundary Problem from Heat Transfer by the Second Kind Chebyshev Wavelets [PDF]
In this paper we reduce a free boundary problem from heat transfer to a weakly Singular Volterra integral equation of the first kind. Since the first kind integral equation is ill posed, and an appropriate method for such ill posed problems is based on ...
Bahman Babayar-Razlighi
doaj +1 more source
Abstract Graph neural networks (GNNs) have revolutionised the processing of information by facilitating the transmission of messages between graph nodes. Graph neural networks operate on graph‐structured data, which makes them suitable for a wide variety of computer vision problems, such as link prediction, node classification, and graph classification.
Amit Sharma +4 more
wiley +1 more source
Application of the Chebyshev collocation method to solve boundary value problems of heat conduction
For one-dimensional inhomogeneous (with respect to the spatial variable) linear parabolic equations, a combined approach is used, dividing the original problem into two subproblems.
Konstantin P. Lovetskiy +3 more
doaj +1 more source

