Solving a fractional chemotaxis system with logistic source using a meshless method

DOI10.1016/J.AML.2024.109004zbMATH Open1540.35016MaRDI QIDQ6540944

Antonio M. Vargas

Publication date: 17 May 2024

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

chemotaxisfractional differential equationsKeller-Segel equationsmeshless method

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Theoretical approximation in context of PDEs (35A35) Cell movement (chemotaxis, etc.) (92C17) Fractional partial differential equations (35R11) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)

Cites Work

• Initiation of slime mold aggregation viewed as an instability
• Finite difference method for solving fractional differential equations at irregular meshes
• Boundedness and homogeneous asymptotics for a fractional logistic Keller-Segel equations
• On a fully parabolic chemotaxis system with source term and periodic asymptotic behavior
• On a generalized doubly parabolic Keller-Segel system in one spatial dimension
• The fractional Keller–Segel model
• The one-dimensional Keller–Segel model with fractional diffusion of cells
• A weighted-upwind generalized finite difference (WU-GFD) scheme with high-order accuracy for solving convection-dominated problems

Related Items (1)

On the numerical solution to space fractional differential equations using meshless finite differences

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