The Use of Cubic Splines in the Numerical Solution of Fractional Differential Equations | Zendy

W. K. Zahra | Zendy; Samah M. Elkholy | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

The Use of Cubic Splines in the Numerical Solution of Fractional Differential Equations

Author(s) -

W. K. Zahra,

Samah M. Elkholy

Publication year - 2012

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/2012/638026

Subject(s) - mathematics , fractional calculus , cubic function , boundary value problem , convergence (economics) , spline (mechanical) , polynomial , mathematical analysis , differential equation , calculus (dental) , medicine , structural engineering , dentistry , engineering , economics , economic growth

Fractional calculus became a vital tool in describing many phenomena appeared in physics, chemistry as well as engineering fields. Analytical solution of many applications, where the fractional differential equations appear, cannot be established. Therefore, cubic polynomial spline-function-based method combined with shooting method is considered to find approximate solution for a class of fractional boundary value problems (FBVPs). Convergence analysis of the method is considered. Some illustrative examples are presented

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research