Comparison of several numerical solvers for a discretized nonlinear diffusion model with source terms

DOI10.1515/gmj-2023-2078OpenAlexW4387957970MaRDI QIDQ6126214

Beny Neta

Publication date: 9 April 2024

Published in: Georgian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/gmj-2023-2078

zbMATH Keywords

finite difference approximationnonlinear diffusion systemnumerical implementation

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Numerical computation of solutions to systems of equations (65H10) Nonlinear parabolic equations (35K55) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) PDEs in connection with optics and electromagnetic theory (35Q60) Integro-partial differential equations (45K05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Best approximation, Chebyshev systems (41A50) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical methods for discrete and fast Fourier transforms (65T50) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Finite difference methods for boundary value problems involving PDEs (65N06) Numerical quadrature and cubature formulas (65D32) Integro-partial differential equations (35R09) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Cites Work

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