Applied Mathematics and Computation

Items from 1 to 20 out of 21 results

article

Calculation of leakage and dynamic coefficients of stepped labyrinth gas seals

Uǧur Yücel

Applied Mathematics and Computation > 2004 > 152 > 2 > 521-533

Rotor-fluid interactions can cause self-excited vibrations in high-density turbomachines. One of the most important sources for excitation is the flow through labyrinth seals. The gas flow through the seals creates net pressure and shear forces acting on the rotor. It is necessary to predict these forces exactly for reliably operating turbomachines. The labyrinth seal forces are characterized by rotordynamic...

article

Natural convection flow of micropolar fluid from a permeable uniform heat flux surface in porous medium

I.A. Hassanien, A.H. Essawy, N.M. Moursy

Applied Mathematics and Computation > 2004 > 152 > 2 > 323-335

Natural convection flow of micropolar fluid along a vertical and a permeable semi-infinite plate embedded in a porous medium have been considered. A nonsimilarity solution is obtained for the case of uniform heat flux. A finite-difference scheme was used to solve the system of transformed governing equations. The obtained results are presented. A parametric study illustrating the influence of the...

article

Measuring operational risk using a mean scaled individual risk model

Werner Hürlimann

Applied Mathematics and Computation > 2004 > 152 > 2 > 425-447

Building on a new theory of parametric risk models initiated in Hurlimann [Blatter der Deutschen Gesellschaft fur Versicherungsmathematik XXIII(3) (1998) 251], it is shown how mean scaled individual risk models can be constructed. The approximate computation of their distributions and related quantities can be done in the author's (1990) mathematical framework of generalized pseudo compound Poisson...

article

An approximate sine-Gordon equation and its traveling wave solution in (n+1)-dimensional space

Zhaosheng Feng

Applied Mathematics and Computation > 2004 > 152 > 2 > 597-610

In this paper, we apply the Painleve analysis to the study of an approximate sine-Gordon equation and obtain the traveling solitary wave solution in (n+1)-dimensional space explicitly, which is significantly different from one which is found in our last work. The technique described herein can also be applied to other nonlinear evolution equations such as the KdV-type equation and the nonlinear Schrodinger...

article

Exact and numerical soliton solutions of some nonlinear physical models

Doǧan Kaya

Applied Mathematics and Computation > 2004 > 152 > 2 > 551-560

We consider two types of variant water wave equations and the solitary wave solutions of them are constructed by using the Adomian decomposition. We also made a numerical comparison of the equations.

article

Modelling the spread of carrier-dependent infectious diseases with environmental effect

Mini Ghosh, Peeyush Chandra, Prawal Sinha, J.B. Shukla

Applied Mathematics and Computation > 2004 > 152 > 2 > 385-402

Many infectious diseases spread by carriers such as flies, ticks, mites, snails, etc. In this paper an SIS model for carrier-dependent infectious diseases, like cholera, diarrhea, etc. caused by direct contact of susceptibles with infectives as well as by carriers is proposed and analyzed assuming the growth of both the human and the carrier populations logistic. It is assumed further that the density...

article

Some oscillation theorems for systems of even order quasilinear partial differential equations

Wen-Xian Lin

Applied Mathematics and Computation > 2004 > 152 > 2 > 337-349

In this paper new sufficient conditions are obtained for oscillation for the solutions of the systems of a class even order quasilinear partial functional differential equations of neutral type. These results are illustrated by some examples.

article

State space formulation for magnetohydrodynamic free convection flow with two relaxation times

Angail A. Samaan

Applied Mathematics and Computation > 2004 > 152 > 2 > 299-321

We introduced a magnetohydrodynamic model of boundary-layer equations for conducting viscous fluids. This model is applied to study the effects of free convection currents with two relaxation times on the flow of a viscous conducting fluid. The state space approach developed in Bahar and Hetnarski [J. Thermal Stresses. 1 (1978) 135-146] is adopted for the solution of one-dimensional transient problems...

article

Rank equalities for submatrices in generalized inverse M _T _, _S ⁽ ² ⁾ of M

Yonghui Liu, Musheng Wei

Applied Mathematics and Computation > 2004 > 152 > 2 > 499-504

By applying the group inverse expressions of the generalized inverse M _T _, _S ⁽ ² ⁾ of the matrix M, we present some rank equalities for submatrices in M _T _, _S ⁽ ² ⁾ . As applications, we derive rank equalities for submatrices in the Moore-Penrose inverse and the Drazin inverse.

article

Some interpolation formulas in Chinese ancient mathematics

Ji-Huan He

Applied Mathematics and Computation > 2004 > 152 > 2 > 367-371

When Newton found his interpolation formula in 1670, ancient Chinese mathematicians had used the formula in more sophisticated forms for more than one millennium. A new proof to those formulas are geometrically illustrated.

article

A numerical simulation and explicit solutions of the generalized Burgers-Fisher equation

Doǧan Kaya, Salah M. El-Sayed

Applied Mathematics and Computation > 2004 > 152 > 2 > 403-413

We consider solitary-wave solutions of the generalized Burgers-Fisher (BF) equation u _t +pu ^r u _x -u _x _x -qu(1-u ^r )=0. In this paper by considering the decomposition scheme, we first obtain the exact solutions of the generalized BF equation for the initial condition without using any classical transformations and then its numerical solutions are constructed...

article

Generalized Riccati equation expansion method and its application to the (3+1)-dimensional Jumbo-Miwa equation

Biao Li, Yong Chen, Hengnong Xuan, Hongqing Zhang

Applied Mathematics and Computation > 2004 > 152 > 2 > 581-595

Based on the computerized symbolic system Maple and a Riccati equation, a generalized Riccati equation expansion method for constructing soliton-like solutions of non-linear evolution equations (NEEs) is presented by a new general ansatz. The proposed method is more powerful than most of the existing tanh methods, the extended tanh-function method, the modified extended tanh-function method and generalized...

article

Complete automation of the generalized inverse method for constrained mechanical systems of particles

C. Itiki, J. José Neto

Applied Mathematics and Computation > 2004 > 152 > 2 > 561-580

A completely automated method for simulating constrained mechanical systems of particles is presented. A compiler generates MATLAB ⁽ R) program files that are specific to the problem presented by the user. These automatically generated programs call several subroutines that perform numerical differentiation, acceleration computation and numerical integration, providing the accelerations, velocities...

article

p-Moment stability of stochastic differential equations with jumps

Shujin Wu, Dong Han, Xianzhang Meng

Applied Mathematics and Computation > 2004 > 152 > 2 > 505-519

In the paper, p-moment stability of stochastic differential equations with jumps is considered. First, some preliminary notes are given. Then, several theorems on p-moment stability of these equations are established using Liapunov function. At last, an example is present to show application of the obtained results.

article

Parameters identification problems for Hopfield-type neural network equations

Quanfang Wang, Dexing Feng, Daizhan Cheng

Applied Mathematics and Computation > 2004 > 152 > 2 > 535-550

This work is to discuss the identification problem of distributed parameter systems given by Hopfield-type neural network equations using classical optimal control theory. More rationally, we consider diffusion term in our model different from other models, in which the parameters appearing in diffusion term, linear term and nonlinear term. We prove the existence of optimal parameters and state the...

article

Travelling wavefronts in the diffusive single species model with Allee effect and distributed delay

Yongli Song, Yahong Peng, Maoan Han

Applied Mathematics and Computation > 2004 > 152 > 2 > 483-497

In this paper, we consider the diffusive single species model with Allee effect and distributed delay time. Special attention is paid to the existence of travelling wavefront solutions. First, we shall show that such fronts exist when the convolution kernel assumes the strong generic delay kernel and the delay is sufficiently small. Then, in the non-local spatial terms which account for the drift...

article

Fracture mechanisms for SiC fibers and SiC/SiC composites under stress-rupture conditions at high temperatures

J.A. DiCarlo, H.M. Yun, J.B. Hurst

Applied Mathematics and Computation > 2004 > 152 > 2 > 473-481

The successful application of SiC/SiC ceramic matrix composites as high-temperature structural materials depends strongly on maximizing the fracture or rupture life of the load-bearing fiber and matrix constituents. Using high-temperature data measured under stress-rupture test conditions, this study examines in a mechanistic manner the effects of various intrinsic and extrinsic factors on the creep...

article

Threshold verification scheme to a valid-signature using identity only on specialized approval

Shiuh-Jeng Wang

Applied Mathematics and Computation > 2004 > 152 > 2 > 373-383

This paper presents a proclaimed valid-signature verification scheme for a specialized group. The shared verification of such a signature makes use of the principle of threshold schemes and ID-based signatures. Our protocol enables any k out of the m verifiers (k=<m) to validate the legality of a proclaimed valid-signature by using only the identities of participants. The significant feature in...

article

Classifications and existence of positive solutions of higher-order nonlinear neutral difference equations

Wan-Tong Li

Applied Mathematics and Computation > 2004 > 152 > 2 > 351-366

In this paper, necessary and sufficient conditions for the existence and classification of positive solutions of the higher-order neutral difference equationΔr _n Δ ^k x _n - _i ₌ ₁ ^m p _n ⁱ x _n _- _τ _i +f(n,x _n _- _σ ₁ ,...,x _n _- _σ _l )=0are obtained, where r _n >0, p _n ⁱ ...

article

Global asymptotic stability of bi-directional associative memory networks with distributed delays

Jinling Liang, Jinde Cao

Applied Mathematics and Computation > 2004 > 152 > 2 > 415-424

In this paper, several sufficient conditions are derived for the global asymptotic stability in bi-directional associative memory (BAM) networks with distributed delays by constructing suitable Lyapunov functional and the Young inequality technique. These conditions have an important leading significance in the design and applications of globally asymptotically stable neural circuits for BAM with...

Number:
2
Volume:
152
Year:
2004

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Keywords

SIMULATION (2)
GENERALIZED INVERSE M T , S ( 2 ) (1)
(3+1)-DIMENSIONAL JUMBO-MIWA EQUATION (1)
A SOLITARY WAVE SOLUTION (1)
AGGREGATE CLAIMS (1)
ANCIENT CHINESE MATHEMATICS (1)
AUTOMATION (1)
BI-DIRECTIONAL ASSOCIATIVE MEMORY (BAM) (1)
CARRIER (1)
CONSTRAINED MECHANICAL SYSTEMS (1)
CONTINUOUS APPROXIMATION (1)
CREEP (1)
DISTRIBUTED DELAY (1)
DISTRIBUTED DELAYS (1)
DISTRIBUTED HOPFIELD-TYPE NEURAL NETWORKS (1)
DRAZIN INVERSE (1)
DYNAMIC COEFFICIENTS (1)
EPIDEMIC MODEL (1)
EQUILIBRIUM POINT (1)
EXISTENCE (1)
EXTENDED KORTEWEG-DE VRIES EQUATION (1)
FIXED POINT THEOREM (1)
GAMMA DISTRIBUTION (1)
GARDNER EQUATION (1)
GENERALIZED BURGERS-FISHER EQUATION (1)
GENERALIZED INVERSE METHOD (1)
GENERALIZED RICCATI EQUATION EXPANSION METHOD (1)
GLOBAL ASYMPTOTIC STABILITY (1)
ID-BASED SIGNATURE (1)
IDENTIFICATION PROBLEMS (1)
INTEGRAL EQUATION (1)
INTERNAL WAVES (1)
INTERPOLATION FORMULA (1)
LEAKAGE (1)
LIAPUOV FUNCTION (1)
LYAPUNOV FUNCTIONAL (1)
MEAN SCALING (1)
MECHANISMS (1)
MONKMAN-GRANT DIAGRAMS (1)
MOORE-PENROSE INVERSE (1)
NECESSARY CONDITION FOR OPTIMALITY (1)
NEUTRAL DIFFERENCE EQUATION (1)
NON-LOCAL EFFECT (1)
NUMERICAL RESULTS (1)
NUMERICAL ROUTINES (1)
NUMERICAL SIMULATION (1)
OPERATIONAL RISK (1)
OPTIMAL PARAMETERS (1)
ORBIT (1)
OSCILLATION (1)
P-MOMENT STABILITY (1)
PAINLEVE ANALYSIS (1)
PERTURBATION ANALYSIS (1)
PERTURBATION METHOD (1)
POSITIVE SOLUTIONS (1)
PSEUDO COMPOUND POISSON DISTRIBUTION (1)
QUASILINEAR (1)
RANK (1)
RUPTURE (1)
SECRET SHARING (1)
SECURITY (1)
SIC FIBERS (1)
SIC MATRICES (1)
SIC/SIC COMPOSITES (1)
SINE-GORDON EQUATION (1)
SOLITARY WAVE (1)
SOLITARY-WAVE SOLUTION (1)
SOLITON-LIKE SOLUTIONS (1)
SOLITONS (1)
STEPPED LABYRINTH SEALS (1)
STOCHASTIC DIFFERENTIAL EQUATION WITH JUMPS (1)
SUBMATRIX (1)
SYMBOLIC COMPUTATION (1)
SYSTEMS OF PARTIAL FUNCTIONAL DIFFERENTIAL EQUATIONS (1)
THE ADOMIAN DECOMPOSITION METHOD (1)
THE DECOMPOSITION METHOD (1)
THE SELF-CANCELLING NOISE TERMS (1)
THRESHOLD SCHEME (1)
TRAVELLING WAVEFRONT (1)
TURBOMACHINES (1)
WATER WAVE EQUATION (1)
YOUNG INEQUALITY (1)
more

INFONA - science communication portal

Applied Mathematics and Computation

Calculation of leakage and dynamic coefficients of stepped labyrinth gas seals

Natural convection flow of micropolar fluid from a permeable uniform heat flux surface in porous medium

Measuring operational risk using a mean scaled individual risk model

An approximate sine-Gordon equation and its traveling wave solution in (n+1)-dimensional space

Exact and numerical soliton solutions of some nonlinear physical models

Modelling the spread of carrier-dependent infectious diseases with environmental effect

Some oscillation theorems for systems of even order quasilinear partial differential equations

State space formulation for magnetohydrodynamic free convection flow with two relaxation times

Rank equalities for submatrices in generalized inverse M _T _, _S ⁽ ² ⁾ of M

Some interpolation formulas in Chinese ancient mathematics

A numerical simulation and explicit solutions of the generalized Burgers-Fisher equation

Generalized Riccati equation expansion method and its application to the (3+1)-dimensional Jumbo-Miwa equation

Complete automation of the generalized inverse method for constrained mechanical systems of particles

p-Moment stability of stochastic differential equations with jumps

Parameters identification problems for Hopfield-type neural network equations

Travelling wavefronts in the diffusive single species model with Allee effect and distributed delay

Fracture mechanisms for SiC fibers and SiC/SiC composites under stress-rupture conditions at high temperatures

Threshold verification scheme to a valid-signature using identity only on specialized approval

Classifications and existence of positive solutions of higher-order nonlinear neutral difference equations

Global asymptotic stability of bi-directional associative memory networks with distributed delays

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