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2013 A Numerical Method for Partial Differential Algebraic Equations Based on Differential Transform Method
Murat Osmanoglu, Mustafa Bayram
Abstr. Appl. Anal. 2013(SI50): 1-8 (2013). DOI: 10.1155/2013/705313

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.

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Murat Osmanoglu. Mustafa Bayram. "A Numerical Method for Partial Differential Algebraic Equations Based on Differential Transform Method." Abstr. Appl. Anal. 2013 (SI50) 1 - 8, 2013. https://doi.org/10.1155/2013/705313

Information

Published: 2013
First available in Project Euclid: 26 February 2014

zbMATH: 1275.65071
MathSciNet: MR3039152
Digital Object Identifier: 10.1155/2013/705313

Rights: Copyright © 2013 Hindawi

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