A discretization method for nonlocal diffusion type equations

DOI10.1007/s11565-022-00436-3zbMath1501.65053OpenAlexW4295219484MaRDI QIDQ2084590

Domenico Mezzanotte, Ezio Venturino, Maria Grazia Russo, Donatella Occorsio

Publication date: 18 October 2022

Published in: Annali dell'Università di Ferrara. Sezione VII. Scienze Matematiche (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11565-022-00436-3

zbMATH Keywords

diffusion equationsgeneralized Bernstein polynomialsline method

Mathematics Subject Classification ID

Heat equation (35K05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Approximation by polynomials (41A10) Finite difference methods for boundary value problems involving PDEs (65N06) Numerical quadrature and cubature formulas (65D32) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Integro-partial differential equations (35R09)

Related Items (2)

Product integration rules by the constrained mock-Chebyshev least squares operator ⋮ A product integration rule on equispaced nodes for highly oscillating integrals

Cites Work

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• Nyström methods for Fredholm integral equations using equispaced points
• Generation of Finite Difference Formulas on Arbitrarily Spaced Grids
• Some numerical applications of generalized Bernstein operators
• Free Energy of a Nonuniform System. I. Interfacial Free Energy

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