Nonstandard finite difference method by nonlocal approximation
From MaRDI portal
Publication:1861366
DOI10.1016/S0378-4754(02)00106-4zbMath1015.65034OpenAlexW2029844829MaRDI QIDQ1861366
Jean M.-S. Lubuma, Roumen Anguelov
Publication date: 16 March 2003
Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0378-4754(02)00106-4
reaction-diffusion equationlogistic equationcombustion modelnonstandard finite difference methodnonlocal approximationqualitatively stable nonstandard finite difference schemes
Reaction-diffusion equations (35K57) Nonlinear ordinary differential equations and systems (34A34) Hyperbolic conservation laws (35L65) 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) Stability and convergence of numerical methods for ordinary differential equations (65L20) Combustion (80A25) Finite difference and finite volume methods for ordinary differential equations (65L12)
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