Numerical solutions of certain new models of the time-fractional Gray-Scott

DOI10.1155/2021/2544688zbMath1500.65089OpenAlexW3183145001MaRDI QIDQ1981859

Khaled M. Saad, Sami Aljhani, A. K. Alomari, Mohd. Salmi Md. Noorani

Publication date: 7 September 2021

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2021/2544688

zbMATH Keywords

reaction-diffusion systemGray-Scott modelfractional homotopy analysis

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Fractional derivatives and integrals (26A33) Global methods, including homotopy approaches to the numerical solution of nonlinear equations (65H20) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Fractional partial differential equations (35R11) PDEs in connection with classical thermodynamics and heat transfer (35Q79)

Related Items (4)

On analytical solution of time-fractional biological population model by means of generalized integral transform with their uniqueness and convergence analysis ⋮ Numerical simulation of the time fractional Gray-Scott model on 2D space domains using radial basis functions ⋮ A study on the fractal-fractional epidemic probability-based model of SARS-CoV-2 virus along with the Taylor operational matrix method for its Caputo version ⋮ An efficient method for solving fractional Black-Scholes model with index and exponential decay kernels

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