Solving a reaction-diffusion system with chemotaxis and non-local terms using generalized finite difference method. Study of the convergence

DOI10.1016/j.cam.2020.113325zbMath1458.92014OpenAlexW3116677112MaRDI QIDQ2226260

Yanyan Li

Publication date: 11 February 2021

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2020.113325

zbMATH Keywords

stabilityconvergencegeneralized finite difference methodchemotaxis systemnonlocal reaction term

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Cell movement (chemotaxis, etc.) (92C17)

Related Items (3)

Theoretical analysis of the generalized finite difference method ⋮ A meshless collocation method for solving the inverse Cauchy problem associated with the variable-order fractional heat conduction model under functionally graded materials ⋮ Convergence of a meshless numerical method for a chemotaxis system with density-suppressed motility

Cites Work

• Initiation of slime mold aggregation viewed as an instability
• Continuous and discrete mathematical models of tumor-induced angiogenesis
• From 1970 until present: The Keller-Segel model in chemotaxis and its consequences. I
• Solving the telegraph equation in 2-d and 3-d using generalized finite difference method (GFDM)
• On the numerical solution to a parabolic-elliptic system with chemotactic and periodic terms using generalized finite differences
• On a fully parabolic chemotaxis system with source term and periodic asymptotic behavior
• Solving second order non-linear parabolic PDEs using generalized finite difference method (GFDM)
• MATHEMATICAL MODELLING OF CANCER INVASION OF TISSUE: THE ROLE AND EFFECT OF NONLOCAL INTERACTIONS
• On a competitive system under chemotactic effects with non-local terms

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