Computational scheme for the time-fractional reaction-diffusion Brusselator model
DOI10.1007/s40819-020-00897-0zbMath1472.65133OpenAlexW3083891657MaRDI QIDQ2026830
Publication date: 21 May 2021
Published in: International Journal of Applied and Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40819-020-00897-0
Fractional derivatives and integrals (26A33) Series solutions to PDEs (35C10) Chemically reacting flows (80A32) Initial value problems for nonlinear first-order PDEs (35F25) 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)
Cites Work
- Unnamed Item
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- A general form of the generalized Taylor's formula with some applications
- A new approach for solving a system of fractional partial differential equations
- A computational modeling of two dimensional reaction-diffusion Brusselator system arising in chemical processes
- An analytic algorithm for the space-time fractional advection-dispersion equation
- A computational modeling of the behavior of the two-dimensional reaction-diffusion Brusselator system
- Numerical solution of two-dimensional reaction-diffusion Brusselator system
- Asymptotic-sequentially solution style for the generalized Caputo time-fractional Newell-Whitehead-Segel system
- Convergence properties of the Runge-Kutta-Chebyshev method
- Solution of nonlinear fractional differential equations using homotopy analysis method
- The decomposition method applied to systems of partial differential equations and to the reaction-diffusion Brusselator model
- A second-order scheme for the ``Brusselator reaction-diffusion system
- Numerical simulation to study the pattern formation of reaction-diffusion Brusselator model arising in triple collision and enzymatic
- Analytic solution of homogeneous time-invariant fractional IVP
- Numerical simulation for computational modelling of reaction-diffusion Brusselator model arising in chemical processes
- Theory and applications of a more general form for fractional power series expansion
- Application of variational iteration method to nonlinear differential equations of fractional order
- Analytic investigation of a reaction-diffusion Brusselator model with the time-space fractional derivative
- Third-order approximate solution of chemical reaction-diffusion Brusselator system using optimal homotopy asymptotic method
- An analytical framework of 2D diffusion, wave-like, telegraph, and Burgers' models with twofold Caputo derivatives ordering
- The diffusion-Brusselator equation
- Homotopy perturbation method: a new nonlinear analytical technique
- Delay-asymptotic solutions for the time-fractional delay-type wave equation
- An avant-garde handling of temporal-spatial fractional physical models
- Variational multiscale element free Galerkin (VMEFG) and local discontinuous Galerkin (LDG) methods for solving two-dimensional Brusselator reaction-diffusion system with and without cross-diffusion
- Ternary-fractional differential transform schema: theory and application
- Analytical solution of a fractional diffusion equation by Adomian decomposition method
- The chemical basis of morphogenesis
- Entropy squeezing of a degenerate two-photon process with a nonlinear medium
- ANALYTICAL SOLUTION OF TIME-FRACTIONAL TWO-COMPONENT EVOLUTIONARY SYSTEM OF ORDER 2 BY RESIDUAL POWER SERIES METHOD
- Solving nonlinear fractional partial differential equations using the homotopy analysis method
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