solve differential algebraic equation matlab
Tài liệu Báo cáo " Fully parallel methods for a class of linear partial differential-algebraic equations " pptx
Ngày tải lên :
13/02/2014, 03:20
... 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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ordinary and partial differential equation routines in matlab - h.j. lee & w.e. schiesser
Ngày tải lên :
08/04/2014, 10:27
... 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...
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Tài liệu Partial Differential Equation Toolbox pdf
Ngày tải lên :
26/01/2014, 02:20
...
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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Báo cáo toán học: " Further results of the estimate of growth of entire solutions of some classes of algebraic differential equations" docx
Ngày tải lên :
20/06/2014, 20:20
... 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.,...
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báo cáo hóa học: " Existence and multiplicity of positive solutions for a nonlocal differential equation" docx
Ngày tải lên :
21/06/2014, 02:20
... 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...
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Báo cáo hóa học: "Research Article Iterative Solutions of Singular Boundary Value Problems of Third-Order Differential Equation" potx
Ngày tải lên :
21/06/2014, 05:20
... 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,...
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Báo cáo hóa học: " Research Article The Existence of Positive Solution to a Nonlinear Fractional Differential Equation with Integral Boundary Conditions" potx
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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Báo cáo hóa học: " Research Article Positive Solution of Singular Boundary Value Problem for a Nonlinear Fractional Differential Equation" potx
Ngày tải lên :
21/06/2014, 07:20
... 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 ut 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...
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báo cáo hóa học:" Research Article Biorthogonal Systems Approximating the Solution of the Nonlinear Volterra Integro-Differential Equation" doc
Ngày tải lên :
21/06/2014, 10:20
... 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,...
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báo cáo hóa học:" Research Article On a Perturbed Dirichlet Problem for a Nonlocal Differential Equation of Kirchhoff Type" docx
Ngày tải lên :
21/06/2014, 11:20
... W
1,2
0
Ω
.
1.2
When Kta 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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Báo cáo sinh học: " Research Article Positive Solutions of nth-Order Nonlinear Impulsive Differential Equation with Nonlocal Boundary Conditions" potx
Ngày tải lên :
21/06/2014, 16:20
... 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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