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Integrated radial basis function technique to simulate the nonlinear system of time fractional distributed-order diffusion equation with graded time-mesh discretization.
- Source :
-
Engineering Analysis with Boundary Elements . Nov2023, Vol. 156, p57-69. 13p. - Publication Year :
- 2023
-
Abstract
- The distributed-order fractional calculus (DOFC) is a generalization of the fractional calculus which its application can be found in viscoelasticity, transport processes and control theory. In the current paper, a system of time fractional distributed-order diffusion equation is investigated, numerically. In the first stage, the time derivative is approximated by a finite difference formulation. The integral terms are approximated by the numerical integration. Then, a semi-discrete scheme is constructed by this procedure. In the second stage, The stability and convergence of the time-discrete outline are analyzed by the energy method. In the third stage, the space derivative is discretized by the compact integrated radial basis function (CLIRBF) as a truly meshless method. Also, the numerical procedures are performed on regular and irregular computational domains. The numerical experiments verify the ability, efficiency and accuracy of the developed numerical formulation. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 09557997
- Volume :
- 156
- Database :
- Academic Search Index
- Journal :
- Engineering Analysis with Boundary Elements
- Publication Type :
- Periodical
- Accession number :
- 171880711
- Full Text :
- https://doi.org/10.1016/j.enganabound.2023.05.049