On the solutions of the fractional generalized Gierer-Meinhardt model

DOI10.1007/978-981-19-7716-9_6zbMATH Open1548.35281MaRDI QIDQ6612888

Maria Paola Speciale, Alessandra Jannelli

Publication date: 1 October 2024

zbMATH Keywords

Lie symmetry analysisimplicit classical numerical methods

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Fractional partial differential equations (35R11) Symmetries, invariants, etc. in context of PDEs (35B06)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Complex nonlinear dynamics in subdiffusive activator-inhibitor systems
• ASP: automated symbolic computation of approximate symmetries of differential equations
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Multi-bump ground states of the fractional Gierer-Meinhardt system on the real line
• Finding higher symmetries of differential equations using the MAPLE package DESOLVII
• Numerical solutions of space-fractional advection-diffusion equations with nonlinear source term
• Adaptive numerical solutions of time-fractional advection-diffusion-reaction equations
• Dynamics of a depletion-type Gierer-Meinhardt model with Langmuir-Hinshelwood reaction scheme
• On the numerical solutions of coupled nonlinear time-fractional reaction-diffusion equations
• Trapezoidal methods for fractional differential equations: theoretical and computational aspects
• Existence of Turing Instabilities in a Two-Species Fractional Reaction-Diffusion System
• Explicitly solvable eigenvalue problem and bifurcation delay in sub-diffusive Gierer–Meinhardt model
• Efficient Multistep Methods for Tempered Fractional Calculus: Algorithms and Simulations
• Group-Invariant Solutions of Fractional Differential Equations
• Comparison between solutions of a two-dimensional time-fractional diffusion-reaction equation through Lie symmetries

Related Items (1)

Nonlinear two-component system of time-fractional PDEs in \((2+1)\)-dimensions: invariant subspace method combined with variable transformation

This page was built for publication: On the solutions of the fractional generalized Gierer-Meinhardt model