Handbook of Fractional Calculus with Applications: Volume 3 Numerical Methods

This Multi-volume Handbook Is The Most Up-to-date And Comprehensive Reference Work In The Field Of Fractional Calculus And Its Numerous Applications. This Third Volume Collects Authoritative Chapters Covering Several Numerical Aspects Of Fractional Calculus, Including Time And Space Fractional Derivatives, Finite Differences And Finite Elements, And Spectral, Meshless, And Particle Methods. Frontmatter -- Preface -- Contents -- Fundamental Approaches For The Numerical Handling Of Fractional Operators And Time-fractional Differential Equations -- Time-fractional Derivatives -- High-order Finite Difference Methods For Fractional Partial Differential Equations -- Spectral Methods For Some Kinds Of Fractional Differential Equations -- Spectral Methods For Fractional Differential Equations Using Generalized Jacobi Functions -- Spectral And Spectral Element Methods For Fractional Advection-diffusion-reaction Equations -- Discontinuous Galerkin And Finite Element Methods -- Numerical Methods For Time-space Fractional Partial Differential Equations -- Comparison Of Two Radial Basis Collocation Methods For Poisson Problems With Fractional Laplacian -- Particle Tracking Solutions Of Vector Fractional Differential Equations: A Review -- Singularities -- Fast Numerical Methods For Space-fractional Partial Differential Equations -- Fast Methods For The Computation Of The Mittag-leffler Function -- Index George Em Karniadakis. Mode Of Access: Internet Via World Wide Web. In English.