solve differential algebraic equation matlab

... numerical experiments on high-performance computers are also reported. Keywords: Differential- algebraic equation (DAE), partial differential- algebraic equation (PDAE), nonnegative pencil of matrices, parallel method 1. ... 2007 Abstract. This note deals with two fully parallel methods for solving linear partial differential- algebraic equations (PDAEs) of the form: Au t + B∆u = f(x, t) (1) where A is a singular, symmetric ... Mathematics - Physics 23 (2007) 201-209 Fully parallel methods for a class of linear partial differential- algebraic equations Vu Tien Dung ∗ Department of Mathematics, Mechanics, Informatics, College...

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... constants. Equation 1.3 is termed a first-order, linear, ordinary differential equation with variable coefficients. These terms are explained below. Term Explanation Differential equation Equation ... exp(x) = e x . Equation 1.5 is easily verified as the solution to Equations 1.3 and 1.4 by substitution in these equations: Terms in Substitution of Equation 1.5 Equations 1.3 and 1.4 in Equations ... of a single ODE, Equation 1.3, subject to initial condition Equation 1.4, by the Euler and modified Euler methods, Equation 1.28 and Equations 1.30. The analytical solution, Equation 1.5, can be...

Ngày tải lên: 08/04/2014, 10:27

... 4-28 Fast Solution of Poisson’s Equation . . . . . . . . . . . . . . . . . . . . 4-29 Partial Differential Equation Toolbox For Use with MATLAB Users Guide Computer ... context. The solution u(x,t) of the equation can be approximated by . This yields a system of ordinary differential equations (ODE) which you integrate using ODE solvers. Two time derivatives yield ... first solves the current PDE. The solution is then displayed using the selected plot options. ã If you havent defined your PDE, pdetool solves the default PDE, which is Poisson’s equation: -∆...

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... of algebraic differential equations. Bull. Hong Kong Math. Soc. 2(1), 159–164 (1998) [8] Bergweiler, W: On a theorem of Gol’dberg concerning meromorphic solutions of algebraic differential equations. ... results of the estimate of growth of entire solutions of some classes of algebraic differential equations Advances in Difference Equations 2012, 2012:6 doi:10.1186/1687-1847-2012-6 Oi Jiaming (qijianmingdaxia@163.com) Li ... single-valued solutions of algebraic differential equations. Ukrain Mat Zh. 8, 254–261 (1956) [5] Bank, S, Kaufman, R: On meromorphic solutions of first-order differential equations. Comment. Math.,...

Ngày tải lên: 20/06/2014, 20:20

... 7 of 11 Then, Equation 12 holds. Therefore, by Equations 10 and 12 and the first part of Lemma 2.3, T has a fixed point in P ∩ ( ¯  2 \ 1 ) , which is a positive solution of Equation 1. □ Example. ... R 2 = || u || . Then, Equation 7 holds. Therefore, by Equations 4 and 7 and the second part of Lemma 2.3, T has a fixed point in P ∩ ( ¯  2 \ 1 ) , which is a positive solution of Equation 1. □ Example.Letq ... article Abstract In this paper, the existence and multiplicity results of positive solutions for a nonlocal differential equation are mainly considered. Keywords: Nonlocal boundary value problems, Cone, Fixed point...

Ngày tải lên: 21/06/2014, 02:20

... for valuable suggestions and comments. References 1 M. Gregus, “Third order linear Differential equations,” in Mathematics and Its Applications, Reidel, Dordrecht, the Netherlands, 1987. 2 L ... Cui, “On the existence of solutions for singular boundary value problem of third-order differential equations,” Mathematica Slovaca, vol. 60, no. 4, pp. 485–494, 2010. 4 Y. Sun, “Positive solutions ... Press, Boston, Mass, USA, 1988. 16 D. Guo, V. Lakshmikantham, and X. Liu, Nonlinear Integral Equations in Abstract Spaces, vol. 373 of Mathematics and Its Applications, Kluwer Academic Publishers,...

Ngày tải lên: 21/06/2014, 05:20

... differential equations,” Electronic Journal of Differential Equations, no. 36, pp. 1–12, 2006. 16 M. Benchohra, S. Hamani, and S. K. Ntouyas, “Boundary value problems for differential equations with ... in Difference Equations Volume 2011, Article ID 546038, 14 pages doi:10.1155/2011/546038 Research Article The Existence of Positive Solution to a Nonlinear Fractional Differential Equation with ... Advances in Difference Equations 14 D. Jiang and C. Yuan, “The positive properties of the Green function for Dirichlet-type boundary value problems of nonlinear fractional differential equations and...

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... 1.2 are equivalent to the Volterra integral equations u  t    1 0 G  t, s  f  s, u  s  ds. 2.7 Proof. From Lemma 2.5, the Volterra integral equation 2.7 is well defined. If ut satisfies ... pages doi:10.1155/2011/297026 Research Article Positive Solution of Singular Boundary Value Problem for a Nonlinear Fractional Differential Equation Changyou Wang, 1, 2, 3 Ruifang Wang, 2, 4 Shu Wang, 3 and Chunde Yang 1 1 College ... fractional differential equations with non-monotone term. Moreover, the existence of maximal and minimal solutions for the problem is also given. 1. Introduction Fractional differential equation can be...

Ngày tải lên: 21/06/2014, 07:20

... classical ones, such as collocation or quadrature, we can point out that it is not necessary to solve algebraic equation systems; furthermore, the integrals involved are immediate and therefore we do ... nonlinear Volterra integro-differential equation. We define, following a fixed-point approach, a sequence of functions which approximate the solution of this type of equation, due to some properties of ... the nonlinear Volterra integro-differential equation, which generalizes that developed in 1.Let us consider the nonlinear Volterra integro-differential equation y   t   f  t, y  t     t 0 K  t,...

Ngày tải lên: 21/06/2014, 10:20

... W 1,2 0  Ω  . 1.2 When Kta  bt a, b > 0, the equation involved in problem P λ  is the stationary analogue of the well-known equation proposed by Kirchhoff in 1.Thisisoneofthe motivations ... quasilinear elliptic equation of Kirchhoff type,” Computers & Mathematics with Applications, vol. 49, no. 1, pp. 85–93, 2005. 4 A. Bensedik and M. Bouchekif, “On an elliptic equation of Kirchhoff-type ... pages doi:10.1155/2011/891430 Research Article On a Perturbed Dirichlet Problem for a Nonlocal Differential Equation of Kirchhoff Type Giovanni Anello Department of Mathematics, University of Messina,...

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... second- order impulsive differential equations,” Journal of Computational and Applied Mathematics, vol. 223, no. 1, pp. 438–448, 2009. 15 J. R. Cannon, “The solution of the heat equation subject to the ... pages doi:10.1155/2011/456426 Research Article Positive Solutions of nth-Order Nonlinear Impulsive Differential Equation with Nonlocal Boundary Conditions Meiqiang Feng, 1 Xuemei Zhang, 2 and Xiaozhong ... theory of impulsive differential equations, see Lakshmikantham et al. 1; for an overview of existing results and of recent research areas of impulsive differential equations, see Benchohra et al....

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