A meshless approach based on fractional interpolation theory and improved neural network bases for solving non-smooth solution of 2D fractional reaction-diffusion equation with distributed order
DOI10.1016/J.CNSNS.2024.108245MaRDI QIDQ6591004
Biao Zhang, Lin Li, Zhong Chen, Wei Jiang, Hong Du
Publication date: 21 August 2024
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
meshless methoddistributed order reaction-diffusion equationfractional interpolation theoryimproved neural network bases
Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Functions of one variable (26Axx) Miscellaneous topics in partial differential equations (35Rxx)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- An RBF based meshless method for the distributed order time fractional advection-diffusion equation
- Degree of approximation by neural and translation networks with a single hidden layer
- On the formulation and numerical simulation of distributed-order fractional optimal control problems
- Adaptive meshless numerical method of solving 2D variable order time fractional mobile-immobile advection-diffusion equations
- A class of preconditioner for solving the Riesz distributed-order nonlinear space-fractional diffusion equations
- The application of the distributed-order time fractional Bloch model to magnetic resonance imaging
- Stability and convergence of a local discontinuous Galerkin method for the fractional diffusion equation with distributed order
- Neural network method for solving nonlinear fractional advection-diffusion equation with spatiotemporal variable-order
- The direct meshless local Petrov-Galerkin technique with its error estimate for distributed-order time fractional cable equation
- A neural networks-based numerical method for the generalized Caputo-type fractional differential equations
- A novel distributed order time fractional model for heat conduction, anomalous diffusion, and viscoelastic flow problems
- A meshless method for solving two-dimensional distributed-order time-fractional cable equation
- An artificial neural network approach for a class of time-fractional diffusion and diffusion-wave equations
- Improved Gegenbauer spectral tau algorithms for distributed-order time-fractional telegraph models in multi-dimensions
- Study of fractional-order reaction-advection-diffusion equation using neural network method
- Integrated radial basis function technique to simulate the nonlinear system of time fractional distributed-order diffusion equation with graded time-mesh discretization
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