The numerical solution of partial differential-algebraic equations

被引:0
|
作者
Muhammed Yigider
Ercan Çelik
机构
[1] Erzurum Technical University,Department of Mathematics, Faculty of Science
[2] Atatürk University,Department of Mathematics, Faculty of Science
关键词
partial differential-algebraic equation (PDAE); two-dimensional differential transformation; multivariate Padé approximation;
D O I
暂无
中图分类号
学科分类号
摘要
In this paper, a numerical solution of partial differential-algebraic equations (PDAEs) is considered by multivariate Padé approximations. We applied this method to an example. First, PDAE has been converted to power series by two-dimensional differential transformation, and then the numerical solution of the equation was put into a multivariate Padé series form. Thus, we obtained the numerical solution of PDAEs.
引用
收藏
相关论文
共 50 条
  • [31] Numerical solutions of chemical differential-algebraic equations
    Çelik, E
    Karaduman, E
    Bayram, M
    APPLIED MATHEMATICS AND COMPUTATION, 2003, 139 (2-3) : 259 - 264
  • [32] Numerical solution of superstiff differential-algebraic systems
    Al'shin, A. B.
    Al'shina, E. A.
    Kalitkin, N. N.
    Koryagina, A. B.
    DOKLADY MATHEMATICS, 2006, 73 (03) : 460 - 464
  • [33] Numerical solution of superstiff differential-algebraic systems
    A. B. Al’shin
    E. A. Al’shina
    N. N. Kalitkin
    A. B. Koryagina
    Doklady Mathematics, 2006, 73 : 460 - 464
  • [34] On The Numerical Solution Of Differential-Algebraic Equations With Index-2 By Chebyshev Approximation
    Yeloglu, Turgut
    Celik, Ercan
    INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS & STATISTICS, 2008, 13 (J08): : 47 - 57
  • [35] The numerical solution of physical problems modeled, as a systems of differential-algebraic equations (DAEs)
    Çelik, E
    Bayram, M
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2005, 342 (01): : 1 - 6
  • [37] Existence of solution to some mixed problems for linear differential-algebraic systems of partial differential equations
    S. V. Svinina
    A. K. Svinin
    Russian Mathematics, 2019, 63 : 64 - 74
  • [38] Existence of solution to some mixed problems for linear differential-algebraic systems of partial differential equations
    Svinina, S. V.
    Svinin, A. K.
    RUSSIAN MATHEMATICS, 2019, 63 (04) : 64 - 74
  • [39] On the Tractability Index of a Class of Partial Differential-Algebraic Equations
    Giuseppe Alì
    Nella Rotundo
    Acta Applicandae Mathematicae, 2012, 122 : 3 - 17
  • [40] Perturbation index of linear partial differential-algebraic equations
    Rang, J
    Angermann, L
    APPLIED NUMERICAL MATHEMATICS, 2005, 53 (2-4) : 437 - 456