Jacobi collocation scheme for variable-order fractional reaction-subdiffusion equation
Date
2018-09
Authors
Journal Title
Journal ISSN
Volume Title
Type
Article
Publisher
SPRINGER HEIDELBERG, TIERGARTENSTRASSE 17, D-69121 HEIDELBERG, GERMANY
Series Info
COMPUTATIONAL & APPLIED MATHEMATICS;Volume: 37 Issue: 4 Pages: 5315-5333
Scientific Journal Rankings
Abstract
We developed a numerical scheme to solve the variable-order fractional linear subdiffusion and nonlinear reaction-subdiffusion equations using the shifted Jacobi collocation method. Basically, a time-space collocation approximation for temporal and spatial discretizations is employed efficiently to tackle these equations. The convergence and stability analyses of the suggested basis functions are presented in-depth. The validity and efficiency of the proposed method are investigated and verified through numerical examples.
Description
Keywords
University for Fractional subdiffusion equation, Fractional nonlinear reaction-subdiffusion equation, Variable-order fractional equations, Shifted Jacobi polynomials, Convergence analysis, BOUNDARY-VALUE-PROBLEMS, INITIAL-VALUE PROBLEMS, DIFFUSION EQUATION, DIFFERENTIAL-EQUATIONS, ANOMALOUS SUBDIFFUSION, OPERATIONAL MATRIX, NUMERICAL-SOLUTION, FINITE-DIFFERENCE, POLYNOMIALS, APPROXIMATION
Citation
Cited References in Web of Science Core Collection: 48