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

Murat Osmanoğlu | Zendy; Mustafa Bayram | Zendy

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

Author(s) -

Murat Osmanoğlu,

Mustafa Bayram

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/705313

Subject(s) - mathematics , path (computing) , matrix (chemical analysis) , combinatorics , computer science , materials science , composite material , programming language

We have considered linear partial differential algebraic equations (LPDAEs) of the form , which has at least one singular matrix of . 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 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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