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

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OSMANOĞLU M., BAYRAM M.

ABSTRACT AND APPLIED ANALYSIS, cilt.2013, 2013 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 2013
  • Basım Tarihi: 2013
  • Doi Numarası: 10.1155/2013/705313
  • Dergi Adı: ABSTRACT AND APPLIED ANALYSIS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Ankara Üniversitesi Adresli: Hayır

Özet

We have considered linear partial differential algebraic equations (LPDAEs) of the form Au-t(t, x) + Bu-xx(t, x) + Cu(t, x) = f(t, x), which has at least one singular matrix of A, B is an element of R-nxn. 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.