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Matrix Differential Equations

On graph differential equations and its associated matrix differential equations

On graph differential equations and its associated matrix differential equations

... adjacency matrix, the study of analysis of networks involving rate of change with respect to time reduces to the study of graph differential equations or equivalently matrix ...

9

Efficient Solutions of Coupled Matrix and Matrix Differential Equations

Efficient Solutions of Coupled Matrix and Matrix Differential Equations

... . (1) (where is the transpose of B) has been used to char- acterize structured covariance matrices [2]. Most of the existing results, however, are connected with particular systems of such matrix and matrix ...

12

Numerical solutions of second order matrix differential equations using basis splines

Numerical solutions of second order matrix differential equations using basis splines

... Cubic B - splines are used in [9-13], matrix differential equations are discussed in [14-16] and B- splines are presented in [17]. The paper is organized as follows: In section 2, we developed the ...

11

Hermite Matrix Polynomial Collocation Method for Linear Complex Differential Equations and Some Comparisons

Hermite Matrix Polynomial Collocation Method for Linear Complex Differential Equations and Some Comparisons

... The outline of this paper is as follows. In Section 2, we briefly introduce Hermite polynomial and describe de- tails of using these polynomials in matrix polynomial collocation method. Section 3 focuses on the ...

7

NONEXISTENCE OF POSITIVE SOLUTIONS FOR A SYSTEMS OF COUPLED FRACTIONAL BVPS WITH p-LAPLACIAN

NONEXISTENCE OF POSITIVE SOLUTIONS FOR A SYSTEMS OF COUPLED FRACTIONAL BVPS WITH p-LAPLACIAN

... ordinary differential equations, difference equations, dynamic equations on time scales, p-Laplacian, fractional order differential equations and boundary value ...

12

Stability of delay differential equations via delayed matrix sine and cosine of polynomial degrees

Stability of delay differential equations via delayed matrix sine and cosine of polynomial degrees

... differential equations via a delayed matrix cosine and sine of polynomial ...delayed matrix sine and cosine of polynomial degrees, which are used to establish sufficient conditions to guarantee our ...

17

Study of polynomial and non polynomial spline based approximation

Study of polynomial and non polynomial spline based approximation

... This paper is devoted to the evolution, progress, types and spline solutions of differential equations. There is now considerable evidence that in many circumstances a spline function is a more adaptable ...

5

On Approximate Solutions of Second Order Linear Partial Differential Equations

On Approximate Solutions of Second Order Linear Partial Differential Equations

... Chebyshev matrix method applied in this study is useful in finding approximate solutions of second-order linear partial differential equations in both homogeneous and non-homogeneous cases, in terms ...

7

On Horn Matrix Function H2(A,A′,B,B′;C;z,w) of Two Complex Variables under Differential Operator

On Horn Matrix Function H2(A,A′,B,B′;C;z,w) of Two Complex Variables under Differential Operator

... The results are established in this study to express a clear idea that the use of operational techniques provides a simple and straightforward method to get new relations for Horn matrix functions. Therefore, ...

15

Differential Equations

Differential Equations

... a differential equation that is satisfied by each member of the ...The differential equation must be free from r because r is different for different members of the ...

45

A new Legendre wavelets decomposition method for solving PDEs

A new Legendre wavelets decomposition method for solving PDEs

... This work shows that the Legendre wavelets method is a very effective technique for reducing partial differential equations into a set of ordinary differential equations. This numerical method ...

10

Collocation method based on Genocchi operational matrix for
solving generalized fractional pantograph equations

Collocation method based on Genocchi operational matrix for solving generalized fractional pantograph equations

... operational matrix for solving generalized fractional pantograph equations with initial and boundary conditions is ...operational matrix which we used together with the Genocchi operational ...

11

Linear Partial Differential Equations and Fourier Theory - Free Computer, Programming, Mathematics, Technical Books, Lecture Notes and Tutorials

Linear Partial Differential Equations and Fourier Theory - Free Computer, Programming, Mathematics, Technical Books, Lecture Notes and Tutorials

... This book is not intended to be comprehensive or encyclopaedic. It is de- signed for a one-semester course (i.e. 36-40 hours of lectures), and it is therefore strictly limited in scope. First, it deals mainly with linear ...

619

Numerical Solution of Fractional Control System by Haar-wavelet Operational Matrix ‎Method

Numerical Solution of Fractional Control System by Haar-wavelet Operational Matrix ‎Method

... To demonstrate the efficiency and the practi- cability of the proposed method based on Haar wavelet operational matrix method, we consider the following example. In order to show the effi- ciency of method for ...

10

The Exact Solutions of Such Coupled Linear Matrix Fractional Differential Equations of Diagonal Unknown Matrices by Using Hadamard Product

The Exact Solutions of Such Coupled Linear Matrix Fractional Differential Equations of Diagonal Unknown Matrices by Using Hadamard Product

... of matrix fractional differential equations for diagonal unknown matrices in Caputo sense by using vector extraction operators and Hadamard ...

11

Elementary Differential Equations - Free Computer, Programming, Mathematics, Technical Books, Lecture Notes and Tutorials

Elementary Differential Equations - Free Computer, Programming, Mathematics, Technical Books, Lecture Notes and Tutorials

... Traditionally oriented elementary differential equations texts are occasionally criticized as being col- lections of unrelated methods for solving miscellaneous problems. To some extent this is true; after ...

662

Stochastic differential equations in a scale of Hilbert spaces

Stochastic differential equations in a scale of Hilbert spaces

... corresponding equations cannot be controlled in a single Hilbert or Banach space (in contrast to spin systems on a regular lattice, which have been well- studied, see ...

21

The Linear, Nonlinear and Partial Differential Equations are not Fractional Order Differential Equations

The Linear, Nonlinear and Partial Differential Equations are not Fractional Order Differential Equations

... The differential equations were considered as fractional order differential equations in ...order differential equations, and observed that solutions could not satisfy the ...

6

Mathematical Modeling of the Thermomechanical Effect of Geofluid on Fracture Walls

Mathematical Modeling of the Thermomechanical Effect of Geofluid on Fracture Walls

... Abstract The paper focuses on a mathematical perspective to the behaviour of fractured systems due to the thermo-mechanical effects of geofluid. The research was built on the foundation of other pre-existing work, ...

10

Robust Finite Time H∞ Filtering for Itô Stochastic Systems

Robust Finite Time H∞ Filtering for Itô Stochastic Systems

... Based on linear matrix inequalities LMIS techniques and stability theory of stochastic differential equations, stochastic Lyapunov function method is adopted to design a finite-time H ∞ [r] ...

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