A Numerical Method for Partial Differential Algebraic Equations Based on Differential Transform Method

Murat Osmanoglu and Mustafa Bayram

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

Abstract: We have considered linear partial differential algebraic equations (LPDAEs) of the form Aut(t, x) + Buxx(t, x) + Cu(t, x) = f(t, x), which has at least one singular matrix of A, B ∈ ℝn×n. We have first introduced a uniform differential time index and a differential space index. The initial conditions and boundary conditions of the given system cannot be prescribed for all components of the solution vector u here. To overcome this, we introduced these indexes. Furthermore, differential transform method has been given to solve LPDAEs. We have applied this method to a test problem, and numerical solution of the problem has been compared with analytical solution.

Date: 2013
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1155/2013/705313

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:705313

Access Statistics for this article

More articles in Abstract and Applied Analysis from John Wiley & Sons
Bibliographic data for series maintained by Wiley Content Delivery ().