An innovative Vieta-Fibonacci wavelet collocation method for the numerical solution of three-component Brusselator reaction diffusion system of fractional order
DOI10.1007/S10910-024-01621-9zbMATH Open1547.65162MaRDI QIDQ6592933
Subir Das, Manpal Singh, Author name not available (Why is that?)
Publication date: 26 August 2024
Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)
convergence analysisexistence and uniquenessBrusselator modelUlam-Hyers stabilityfractional-order reaction-diffusion systemVieta-Fibonacci wavelet method
Fractional derivatives and integrals (26A33) Numerical methods for wavelets (65T60) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Chemically reacting flows (80A32) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Fractional partial differential equations (35R11)
Cites Work
- A spectral tau algorithm based on Jacobi operational matrix for numerical solution of time fractional diffusion-wave equations
- Numerical simulation for two-dimensional variable-order fractional nonlinear cable equation
- Analytical solution of a fractional diffusion equation by variational iteration method
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Bernoulli wavelet operational matrix of fractional order integration and its applications in solving the fractional order differential equations
- Numerical solutions of coupled systems of fractional order partial differential equations
- Solving nonlinear systems of fractional-order partial differential equations using an optimization technique based on generalized polynomials
- A class of efficient difference method for time fractional reaction-diffusion equation
- An efficient parallel approximate algorithm for solving time fractional reaction-diffusion equations
- A high resolution Hermite wavelet technique for solving space-time-fractional partial differential equations
- Spiral patterns and numerical bifurcation analysis in a three-component Brusselator model for chemical reactions
- Adaptation on power series method with conformable operator for solving fractional order systems of nonlinear partial differential equations
- Solution of fractional partial differential equations using fractional power series method
- Existence, uniqueness, Ulam-Hyers stability and numerical simulation of solutions for variable order fractional differential equations in fluid mechanics
- Vieta-Fibonacci operational matrices for spectral solutions of variable-order fractional integro-differential equations
- On a class of ordinary differential equations in the frame of Atangana-Baleanu fractional derivative
- A numerical method based on fractional-order generalized Taylor wavelets for solving distributed-order fractional partial differential equations
- Two-dimensional Müntz-Legendre hybrid functions: theory and applications for solving fractional-order partial differential equations
- Finite difference methods with non-uniform meshes for nonlinear fractional differential equations
- A mathematical model on fractional Lotka-Volterra equations
- Two-dimensional Legendre wavelets for solving fractional Poisson equation with Dirichlet boundary conditions
- A Theoretical Basis for the Application of Fractional Calculus to Viscoelasticity
- Shifted Vieta‐Fibonacci polynomials for the fractal‐fractional fifth‐order KdV equation
- Robust spectral treatment for time-fractional delay partial differential equations
- Vieta–Fibonacci wavelets: Application in solving fractional pantograph equations
- An efficient spectral method for solving third-kind Volterra integral equations with non-smooth solutions
This page was built for publication: An innovative Vieta-Fibonacci wavelet collocation method for the numerical solution of three-component Brusselator reaction diffusion system of fractional order
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6592933)