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Ordinary and Partial Differential Equations

Optimal filtering for systems governed by coupled ordinary and partial differential equations

Optimal filtering for systems governed by coupled ordinary and partial differential equations

... -7- In Chapter IV an optimal filter is derived for a completely general class of stochastic systems governed by coupled nonlinear ordinary and partial differential equations of either fi[r] ...

170

A Comparative Study of Adomain Decompostion Method and He Laplace Method

A Comparative Study of Adomain Decompostion Method and He Laplace Method

... An important conclusion can be made here. Adomain decomposition method for solving nonlinear ordinary and partial differential equations, the same problems are solved by He-Laplace method. ...

13

Differential Transform Method for Some Delay Differential Equations

Differential Transform Method for Some Delay Differential Equations

... The differential transform method (DTM) is a semi analytical-numerical technique depending on Taylor series for solving integral-differential equations ...nonlinear ordinary and partial ...

9

Daftardar Jafari Method for Fractional Heat Like and Wave Like Equations with Variable Coefficients

Daftardar Jafari Method for Fractional Heat Like and Wave Like Equations with Variable Coefficients

... The Daftardar-Jafari method (DJM) developed in 2006 has been extensively used by many researchers for the treatment of linear and nonlinear ordinary and partial differential equations of ...

14

A Comparative Study of Variational Iteration Method and He Laplace Method

A Comparative Study of Variational Iteration Method and He Laplace Method

... nonlinear ordinary and partial differential ...of differential equation can be easily handled by the use of He’s polynomials and provides better ...

9

A numerical approach for variable-order fractional unified chaotic systems with time-delay

A numerical approach for variable-order fractional unified chaotic systems with time-delay

... fractional ordinary and partial differential equations com- pared to FO fractional calculus have been revealed in different applications such as modeling of many mechanical, electrical, ...

15

Vol 2, No 9 (2011)

Vol 2, No 9 (2011)

... Homotopy perturbation method is known to be a powerful device for solving many functional equations such as ordinary, partial differential equations, integral equations and so ...

6

Extended Chiral Quark Models in the Framework of Quantum Chromodynamic: Theory and their Applications in Hot and Dense Mediums

Extended Chiral Quark Models in the Framework of Quantum Chromodynamic: Theory and their Applications in Hot and Dense Mediums

... The field of Wave Theory is quite substantial. This field is considered something where an imagination is required to understand. We have unknown questions in this field that need research conducted; contributing to ...

5

Comments and Suggestions on Defining and Using P-Values and Null Hypothesis Tests

Comments and Suggestions on Defining and Using P-Values and Null Hypothesis Tests

... vector differential equations, where H is a unit vector in R n ...vector ordinary differential equations and [8, 15, 17, 25] for vector partial differential ...fractional ...

13

Artificial Neural Networks Approach for Solving Stokes Problem

Artificial Neural Networks Approach for Solving Stokes Problem

... solving ordinary differential equations and partial differential equations for both boundary value and initial value ...quasilinear partial differential ...

5

Quadratic spline solution of Calculus of Variation Problems

Quadratic spline solution of Calculus of Variation Problems

... the ordinary differential equations which arise from problems of calculus of ...Euler-Ostrogradsky equations as ordi- nary (or partial) differential equations which arise ...

10

Using Laplace transform to solve the viscoelastic wave problems in the dynamic material property tests

Using Laplace transform to solve the viscoelastic wave problems in the dynamic material property tests

... governing partial differential equations were transformed to ordinary differential equations for the image functions, which were solved analytically with the boundary ...

5

Vol 9, No 5 (2018)

Vol 9, No 5 (2018)

... so-called differential transformation method (DTM) for electrical circuit’s problems ...of differential equations in the form of a ...of differential equations. The implementation of ...

7

Techniques for Solving a Certain Class of Partial Differential Equation by Fractional Fourier Transform

Techniques for Solving a Certain Class of Partial Differential Equation by Fractional Fourier Transform

... We have used the approach of Fourier transforms of fractional order, along the ordinary Fourier transform of first order. The integral form of the transform can be applied to build a table of fractional order ...

16

Compact local stencils employed with integrated RBFs for fourth-order differential problems

Compact local stencils employed with integrated RBFs for fourth-order differential problems

... Abstract: In this paper, new compact local stencils based on integrated radial basis functions (IRBFs) for solving fourth-order ordinary differential equations (ODEs) and partial ...

16

Three Dimensional Analysis of Laminated Cylindrical Panels with Piezoelectric Layers

Three Dimensional Analysis of Laminated Cylindrical Panels with Piezoelectric Layers

... coupled partial differential equations (PDE's) of equilibrium to ordinary differential equations (ODE's) with variable coefficients by means of trigonometric function expansion ...

12

Application of He's homotopy perturbation
method for solving Sivashinsky equation

Application of He's homotopy perturbation method for solving Sivashinsky equation

... In the recent years, the application of the homotopy perturbation method (HPM) [1, 7] in nonlinear problems has been developed by scientists and engineers, because this method continuously deforms the difficult problem ...

7

On a class of linear ordinary differential equations having ∑k=0∞xkδ(k)(t) and ∑k=0mxkδ(k)(t) as solutions

On a class of linear ordinary differential equations having ∑k=0∞xkδ(k)(t) and ∑k=0mxkδ(k)(t) as solutions

... We introduced some linear homogeneous ordinary differential equations which have both formal and finite distributional solutions at the same time, where the finite solution is a partial [r] ...

8

Stochastic Logistic Model for Fish Growth

Stochastic Logistic Model for Fish Growth

... In this paper, first we have investigated the logistic growth rate when it is influenced by the carrying capacity of the system and have analyzed the modified logistic model for fish growth. It is to be highlighted that ...

8

Experimental Verification of Dynamic Modelling of Nitrogen Adsorption on Zeolite 13X with VSA Process

Experimental Verification of Dynamic Modelling of Nitrogen Adsorption on Zeolite 13X with VSA Process

... Linear driving force (LDF) has been applied as a suitable approximation to describe the rate coefficient for extra particle and intra particle mass transfer controlling. Also, intra particle mass transfer can be ...

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