IMPLICIT FINITE DIFFERENCE METHOD FOR THE SPACE FRACTIONAL HEAT CONDUCTION EQUATION WITH THE MIXED BOUNDARY CONDITION

Journal Title: Silesian Journal of Pure and Applied Mathematics - Year 2016, Vol 6, Issue 1

Abstract

This paper presents the numerical solution of the space fractional heat conduction equation with Neumann and Robin boundary conditions. In described equation the Riemann-Liouville fractional derivative is used. Considered model is solved by using the implicit finite difference method. The paper also presents the numerical examples to illustrate the accuracy and stability of described method.

Authors and Affiliations

Rafał Brociek, Damian Słota

Keywords

Related Articles

THE ULTRAMETRIC PROPERTIES OF BINARY DATASETS

Many multivariate algorithms commonly applied for binary datasets depend on a proper metric (i.e., dissimilarity function) imposed on binary vectors. In the following work the relationships between different metrics defi...

IMPLICIT FINITE DIFFERENCE METHOD FOR THE SPACE FRACTIONAL HEAT CONDUCTION EQUATION WITH THE MIXED BOUNDARY CONDITION

This paper presents the numerical solution of the space fractional heat conduction equation with Neumann and Robin boundary conditions. In described equation the Riemann-Liouville fractional derivative is used. Considere...

STRONG SEQUENCES AND THEIR CONSEQUENCES IN SOCIAL CHOICE

One of the most famous theorems in social choice theory – Arrow impossibility theorem – was published in 1951. Since Arrowian paper most researchers tried to find different versions of this theorem not only for finite bu...

A STRONG CONVERGENCE RESULT FOR SYSTEMS OF NONLINEAR OPERATOR EQUATIONS INVOLVING TOTAL ASYMPTOTICALLY NONEXPANSIVE MAPPINGS IN UNIFORMLY CONVEX BANACH SPACES

We prove the strong convergence of an implicit iterative procedure to a solution of a system of nonlinear operator equations involving total asymptotically nonexpansive operators in uniformly convex Banach spaces.

THE TAYLOR TRANSFORMATION HYBRID METHOD APPLIED FOR SOLVING THE STEFAN PROBLEM

The paper presents the analytic-numerical hybrid method using, among others, the Taylor transformation, thanks to which the solution of the Stefan problem is replaced by the solution of a nonlinear system of equations.

Download PDF file
  • EP ID EP179606
  • DOI -
  • Views 78
  • Downloads 0

How To Cite

Rafał Brociek, Damian Słota (2016). IMPLICIT FINITE DIFFERENCE METHOD FOR THE SPACE FRACTIONAL HEAT CONDUCTION EQUATION WITH THE MIXED BOUNDARY CONDITION. Silesian Journal of Pure and Applied Mathematics, 6(1), 125-136. https://europub.co.uk/articles/-A-179606