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A Fast Algorithm for the Caputo Fractional Derivative

East Asian Journal on Applied Mathematics, 2018
A fast algorithm with almost optimal memory for the computation of Caputo’s fractional derivative is developed. It is based on a nonuniform splitting of the time interval [0, tn] and a polynomial approximation of the kernel function (1 − τ) −α.
Kun Huang
semanticscholar   +1 more source

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Rocky Mountain Journal of Mathematics, 2021
Christopher Goodrich, Rajendra Dahal
exaly  

A study on unsteady flow through porous media : A cubic spline collocation approach

Journal of Interdisciplinary Mathematics, 2021
Jyotindra Prajapati, Priti Tandel
exaly  

A Variational Method and Approximations of a Cauchy Problem for Elliptic Equations

Journal of Algorithms and Computational Technology, 2010
Daniel Lesnic   +2 more
exaly  

New approach to certain real hyper-elliptic integrals

Integral Transforms and Special Functions, 2020
Piotr Krasoń, Jan Milewski
exaly  

B-spline method for solving Bratu's problem

International Journal of Computer Mathematics, 2010
Mehmet Ozer
exaly  

A family of integrals analytically solvable

International Journal of Computer Mathematics, 2011
José L. López
exaly  

New proofs of Borwein-type algorithms for Pi

Integral Transforms and Special Functions, 2016
Jesús Guillera
exaly  

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