A COMPOSITE COLLOCATION METHOD BASED ON THE FRACTIONAL CHELYSHKOV WAVELETS FOR DISTRIBUTED-ORDER FRACTIONAL MOBILE-IMMOBILE ADVECTION-DISPERSION EQUATION

DOI10.3846/mma.2022.15311OpenAlexW4308799813MaRDI QIDQ5052614

H. R. Marasi, Mohammadhossein Derakhshan

Publication date: 25 November 2022

Published in: Mathematical Modelling and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3846/mma.2022.15311

zbMATH Keywords

convergencedistributed ordercomposite collocation methodChelyshkov waveletmobile-immobile advection-dispersion

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Fractional ordinary differential equations (34A08) Fractional partial differential equations (35R11)

Related Items (1)

Numerical solution of multidimensional time‐space fractional differential equations of distributed order with Riesz derivative

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Distributed order equations as boundary value problems
• Numerical solutions of fractional Riccati type differential equations by means of the Bernstein polynomials
• Numerical methods of solutions of boundary value problems for the multi-term variable-distributed order diffusion equation
• Numerical analysis for distributed-order differential equations
• Numerical solution of nonlinear integral equations using alternative Legendre polynomials
• Numerical solution of the Bagley-Torvik equation.
• A spectral approach to analyze the nonlinear oscillatory fractional-order differential equations
• A Chelyshkov polynomial based algorithm to analyze the transport dynamics and anomalous diffusion in fractional model
• A novel Legendre operational matrix for distributed order fractional differential equations
• Fractional-order Bernoulli wavelets and their applications
• Some high-order difference schemes for the distributed-order differential equations
• Compact difference scheme for distributed-order time-fractional diffusion-wave equation on bounded domains
• New quadrature approach based on operational matrix for solving a class of fractional variational problems
• Distributed-Order Dynamic Systems
• A Legendre spectral element method (SEM) based on the modified bases for solving neutral delay distributed‐order fractional damped diffusion‐wave equation
• Hybrid fully spectral linearized scheme for time‐fractional evolutionary equations
• Linearized stable spectral method to analyze two‐dimensional nonlinear evolutionary and reaction‐diffusion models
• A stable computational approach to analyze semi‐relativistic behavior of fractional evolutionary problems

This page was built for publication: A COMPOSITE COLLOCATION METHOD BASED ON THE FRACTIONAL CHELYSHKOV WAVELETS FOR DISTRIBUTED-ORDER FRACTIONAL MOBILE-IMMOBILE ADVECTION-DISPERSION EQUATION