"Approximate Scheme for Fractional Differential Equation of Order 1 < α" by Dhrumit K. Trivedi and Nimisha Pathak
  •  
  •  
 

Progress in Fractional Differentiation & Applications

Author Country (or Countries)

India

Abstract

In this article, we develop composite Simpson’s ( 1 /3) rd rule for fractional differential equation with Caputo derivative of order α, 1<α < 2 using finite difference method. We use forward, central and backward difference formulae for approximating the derivatives. We give comparison of numerical solution given by Simpson’s ( 1 )rd rule and Trapezoidal rule. Result shows that Simpson’s rule gives better approximation. Furthermore, as an application of the scheme we solve test problems using Mathematical software.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/pfda/090307

Plum Print visual indicator of research metrics
PlumX Metrics
  • Citations
    • Citation Indexes: 1
  • Usage
    • Abstract Views: 30
    • Downloads: 3
  • Captures
    • Readers: 1
see details

COinS