Description

• Title:
  Algorithms for nonlinear fractional partial differential equations: A selection of numerical methods
• Creator:
  Momani, Shaher;
  Odibat, Zaid;
  Hashim, Ishak
• Description:
  Fractional order partial differential equations, as generalization of classical integer order partial differential equations, are increasingly used to model problems in fluid flow, finance and other areas of applications. In this paper we present a collection of numerical algorithms for the solution of nonlinear partial differential equations with space- and time-fractional derivatives. The fractional derivatives are considered in the Caputo sense. Two numerical examples are given to demonstrate the effectiveness of the present methods. Results show that the numerical schemes are very effective and convenient for solving nonlinear partial differential equations of fractional order.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2008.06.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 31, No 2 (June 2008); 211 - 226;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2008.012/8771
• Subject:
  Fractional differential equations;
  differential transform method;
  homotopy perturbation method;
  variational iteration method;
  Adomian decomposition method;
  26A33;
  35A15;
  35A35
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2008.012
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other