Abstract and Applied Analysis

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

Murat Osmanoglu and Mustafa Bayram

Full-text: Open access

Abstract

We have considered linear partial differential algebraic equations (LPDAEs) of the form A u t ( t , x ) + B u x x ( t , x ) + C u ( t , x ) = f ( t , x ) , which has at least one singular matrix of A , B n × 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.

Article information

Source
Abstr. Appl. Anal., Volume 2013, Special Issue (2013), Article ID 705313, 8 pages.

Dates
First available in Project Euclid: 26 February 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1393448859

Digital Object Identifier
doi:10.1155/2013/705313

Mathematical Reviews number (MathSciNet)
MR3039152

Zentralblatt MATH identifier
1275.65071

Citation

Osmanoglu, Murat; Bayram, Mustafa. A Numerical Method for Partial Differential Algebraic Equations Based on Differential Transform Method. Abstr. Appl. Anal. 2013, Special Issue (2013), Article ID 705313, 8 pages. doi:10.1155/2013/705313. https://projecteuclid.org/euclid.aaa/1393448859


Export citation