Hafez, R. M.Youssri, Y. H.2019-11-052019-11-052018-09Cited References in Web of Science Core Collection: 480101-8205https://doi.org/10.1007/s40314-018-0633-3https://link.springer.com/article/10.1007/s40314-018-0633-3We 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.enUniversity for Fractional subdiffusion equationFractional nonlinear reaction-subdiffusion equationVariable-order fractional equationsShifted Jacobi polynomialsConvergence analysisBOUNDARY-VALUE-PROBLEMSINITIAL-VALUE PROBLEMSDIFFUSION EQUATIONDIFFERENTIAL-EQUATIONSANOMALOUS SUBDIFFUSIONOPERATIONAL MATRIXNUMERICAL-SOLUTIONFINITE-DIFFERENCEPOLYNOMIALSAPPROXIMATIONArticlehttps://doi.org/10.1007/s40314-018-0633-3