A new and efficient approach for solving linear and nonlinear time-fractional diffusion equations of distributed order
DOI10.1007/S40314-022-01981-5OpenAlexW4291000376MaRDI QIDQ2675743
Publication date: 26 September 2022
Published in: Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40314-022-01981-5
error boundsdiffusion equationsdistributed-order fractional derivativeoperational vectorJacobi wavelets
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Fractional derivatives and integrals (26A33) Numerical methods for wavelets (65T60) Fractional partial differential equations (35R11)
Related Items (4)
Cites Work
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- Numerical solution for diffusion equations with distributed order in time using a Chebyshev collocation method
- On distributed order integrator/differentiator
- Numerical solution of fractional differential equations with a collocation method based on Müntz polynomials
- Fast second-order time two-mesh mixed finite element method for a nonlinear distributed-order sub-diffusion model
- Existence, uniqueness, and numerical solutions for two-dimensional nonlinear fractional Volterra and Fredholm integral equations in a Banach space
- An implicit finite difference approximation for the solution of the diffusion equation with distributed order in time
- Fractional calculus models of complex dynamics in biological tissues
- Fractional differential equations in electrochemistry
- The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- On the history of multivariate polynomial interpolation
- Numerical solution of a class of two-dimensional nonlinear Volterra integral equations using Legendre polynomials
- On the formulation and numerical simulation of distributed-order fractional optimal control problems
- Numerical solution of three-dimensional Volterra-Fredholm integral equations of the first and second kinds based on Bernstein's approximation
- Numerical simulation of fractional evolution model arising in viscoelastic mechanics
- Application of combination schemes based on radial basis functions and finite difference to solve stochastic coupled nonlinear time fractional sine-Gordon equations
- Existence, uniqueness, and approximate solutions for the general nonlinear distributed-order fractional differential equations in a Banach space
- Operational matrices based on hybrid functions for solving general nonlinear two-dimensional fractional integro-differential equations
- An efficient algorithm for numerical solution of fractional integro-differential equations via Haar wavelet
- Numerical approach for modeling fractional heat conduction in porous medium with the generalized Cattaneo model
- A novel Legendre operational matrix for distributed order fractional differential equations
- A sinc-Gauss-Jacobi collocation method for solving Volterra's population growth model with fractional order
- Numerical solution of two-dimensional stochastic time-fractional Sine-Gordon equation on non-rectangular domains using finite difference and meshfree methods
- A novel operational vector for solving the general form of distributed order fractional differential equations in the time domain based on the second kind Chebyshev wavelets
- A novel and efficient operational matrix for solving nonlinear stochastic differential equations driven by multi-fractional Gaussian noise
- Distributed-Order Dynamic Systems
- A New Family of High-order Difference Schemes for the Solution of Second Order Boundary Value Problems
- A numerical investigation of the time distributed-order diffusion model
- Spectral Methods
- The random walk's guide to anomalous diffusion: A fractional dynamics approach
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