A New Diffusive Representation for Fractional Derivatives, Part II: Convergence Analysis of the Numerical Scheme

Abstract

Recently, we have proposed a new diffusive representation for fractional derivatives and, based on this representation, suggested an algorithm for their numerical computation. From the construction of the algorithm, it is immediately evident that the method is fast and memory efficient. Moreover, the method's design is such that good convergence properties may be expected. This paper here starts a systematic investigation of these convergence properties.

References in corpus (4)

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• An Efficient and Accurate Method for Modeling Nonlinear Fractional Viscoelastic Biomaterials
• A Gauss-Jacobi Kernel Compression Scheme for Fractional Differential Equations
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Cited by in corpus (4)

• Novel Variants of Diffusive Representation of Fractional Integrals: Construction and Numerical Computation
• Diffusive Representations for the Numerical Evaluation of Fractional Integrals
• Revisiting Diffusive Representations for Enhanced Numerical Approximation of Fractional Integrals
• Energy, Passivity, and Diffusive Representations in Anisotropic Fractional Maxwell--Cole--Cole Media