**Commenced**in January 2007

**Frequency:**Monthly

**Edition:**International

**Paper Count:**1601

# Search results for: depth-averaged equations

##### 1601 Classification of Equations of Motion

**Authors:**
Amritpal Singh Nafria,
Rohit Sharma,
Md. Shami Ansari

**Abstract:**

**Keywords:**
velocity-time graph,
fundamental equations,
additional equations,
requisite conditions,
importance and educational benefits

##### 1600 Weak Solutions Of Stochastic Fractional Differential Equations

**Authors:**
Lev Idels,
Arcady Ponosov

**Abstract:**

**Keywords:**
delay equations,
operator methods,
stochastic noise,
weak solutions

##### 1599 Integrable Heisenberg Ferromagnet Equations with Self-Consistent Potentials

**Authors:**
Gulgassyl Nugmanova,
Zhanat Zhunussova,
Kuralay Yesmakhanova,
Galya Mamyrbekova,
Ratbay Myrzakulov

**Abstract:**

**Keywords:**
Heisenberg Ferromagnet equations,
soliton equations,
equivalence,
Lax representation

##### 1598 Further Results on Modified Variational Iteration Method for the Analytical Solution of Nonlinear Advection Equations

**Authors:**
A. W. Gbolagade,
M. O. Olayiwola,
K. O. Kareem

**Abstract:**

**Keywords:**
lagrange multiplier,
non-homogeneous equations,
advection equations,
mathematics

##### 1597 New Insight into Fluid Mechanics of Lorenz Equations

**Authors:**
Yu-Kai Ting,
Jia-Ying Tu,
Chung-Chun Hsiao

**Abstract:**

**Keywords:**
Galerkin method,
Lorenz equations,
Navier-Stokes equations,
convectional motion

##### 1596 On the Relation between λ-Symmetries and μ-Symmetries of Partial Differential Equations

**Authors:**
Teoman Ozer,
Ozlem Orhan

**Abstract:**

**Keywords:**
λ-symmetry,
μ-symmetry,
classification,
invariant solution

##### 1595 Equations of Pulse Propagation in Three-Layer Structure of As2S3 Chalcogenide Plasmonic Nano-Waveguides

**Authors:**
Leila Motamed-Jahromi,
Mohsen Hatami,
Alireza Keshavarz

**Abstract:**

_{2}S

_{3}chalcogenide materials. Via utilizing Helmholtz equation and first-order perturbation theory, two components of electric field are determined within frequency domain. Afterwards, the equations are formulated in time domain. The obtained equations include two coupled differential equations that considers nonlinear dispersion.

**Keywords:**
nonlinear optics,
plasmonic waveguide,
chalcogenide,
propagation equation

##### 1594 Development of Extended Trapezoidal Method for Numerical Solution of Volterra Integro-Differential Equations

**Authors:**
Fuziyah Ishak,
Siti Norazura Ahmad

**Abstract:**

**Keywords:**
accuracy,
extended trapezoidal method,
numerical solution,
Volterra integro-differential equations

##### 1593 Reduced Differential Transform Methods for Solving the Fractional Diffusion Equations

**Authors:**
Yildiray Keskin,
Omer Acan,
Murat Akkus

**Abstract:**

**Keywords:**
fractional diffusion equations,
Caputo fractional derivative,
reduced differential transform method,
partial

##### 1592 Global Stability Of Nonlinear Itô Equations And N. V. Azbelev's W-method

**Authors:**
Arcady Ponosov.,
Ramazan Kadiev

**Abstract:**

**Keywords:**
asymptotic stability,
delay equations,
operator methods,
stochastic noise

##### 1591 Solutions of Fractional Reaction-Diffusion Equations Used to Model the Growth and Spreading of Biological Species

**Authors:**
Kamel Al-Khaled

**Abstract:**

**Keywords:**
fractional partial differential equations,
reaction-diﬀusion equations,
adomian decomposition,
biological species

##### 1590 Numerical Solution for Integro-Differential Equations by Using Quartic B-Spline Wavelet and Operational Matrices

**Authors:**
Khosrow Maleknejad,
Yaser Rostami

**Abstract:**

**Keywords:**
ıntegro-differential equations,
quartic B-spline wavelet,
operational matrices,
dual functions

##### 1589 Numerical Wave Solutions for Nonlinear Coupled Equations Using Sinc-Collocation Method

**Authors:**
Kamel Al-Khaled

**Abstract:**

**Keywords:**
Nonlinear coupled KdV equations,
Soliton solutions,
Sinc-collocation method,
Sinc functions

##### 1588 Generalization of Tau Approximant and Error Estimate of Integral Form of Tau Methods for Some Class of Ordinary Differential Equations

**Authors:**
A. I. Ma’ali,
R. B. Adeniyi,
A. Y. Badeggi,
U. Mohammed

**Abstract:**

**Keywords:**
approximant,
error estimate,
tau method,
overdetermination

##### 1587 Investigating the Form of the Generalised Equations of Motion of the N-Bob Pendulum and Computing Their Solution Using MATLAB

**Authors:**
Divij Gupta

**Abstract:**

**Keywords:**
classical mechanics,
differential equation,
lagrangian analysis,
pendulum

##### 1586 On Stability of Stochastic Differential Equations with Non Trivial Solutions

**Authors:**
Fakhreddin Abedi,
Wah June Leong

**Abstract:**

**Keywords:**
exponential stability in probability,
stochastic differential equations,
Lyapunov technique,
Ito’s formula

##### 1585 Numerical Treatment of Block Method for the Solution of Ordinary Differential Equations

**Authors:**
A. M. Sagir

**Abstract:**

**Keywords:**
block method,
first order ordinary differential equations,
hybrid,
self-starting

##### 1584 A Numerical Method for Diffusion and Cahn-Hilliard Equations on Evolving Spherical Surfaces

**Authors:**
Jyh-Yang Wu,
Sheng-Gwo Chen

**Abstract:**

**Keywords:**
conservation laws,
diffusion equations,
Cahn-Hilliard equations,
evolving surfaces

##### 1583 Nonhomogeneous Linear Second Order Differential Equations and Resonance through Geogebra Program

**Authors:**
F. Maass,
P. Martin,
J. Olivares

**Abstract:**

**Keywords:**
education,
geogebra,
ordinary differential equations,
resonance

##### 1582 Series Solutions to Boundary Value Differential Equations

**Authors:**
Armin Ardekani,
Mohammad Akbari

**Abstract:**

**Keywords:**
computational mathematics,
differential equations,
engineering,
series

##### 1581 Numerical Iteration Method to Find New Formulas for Nonlinear Equations

**Authors:**
Kholod Mohammad Abualnaja

**Abstract:**

**Keywords:**
variational iteration method,
nonlinear equations,
Lagrange multiplier,
algorithms

##### 1580 System of Linear Equations, Gaussian Elimination

**Authors:**
Rabia Khan,
Nargis Munir,
Suriya Gharib,
Syeda Roshana Ali

**Abstract:**

**Keywords:**
direct,
indirect,
backward stage,
forward stage

##### 1579 Refitting Equations for Peak Ground Acceleration in Light of the PF-L Database

**Authors:**
Matevž Breška,
Iztok Peruš,
Vlado Stankovski

**Abstract:**

**Keywords:**
Ground Motion Prediction Equations,
Levenberg-Marquardt algorithm,
refitting PF-L database,
peak ground acceleration

##### 1578 On the Approximate Solution of Continuous Coefficients for Solving Third Order Ordinary Differential Equations

**Authors:**
A. M. Sagir

**Abstract:**

**Keywords:**
block method,
hybrid,
linear multistep,
self-starting,
third order ordinary differential equations

##### 1577 The Finite Element Method for Nonlinear Fredholm Integral Equation of the Second Kind

**Authors:**
Melusi Khumalo,
Anastacia Dlamini

**Abstract:**

**Keywords:**
finite element method,
Galerkin approach,
Fredholm integral equations,
nonlinear integral equations

##### 1576 Algorithms Utilizing Wavelet to Solve Various Partial Differential Equations

**Authors:**
K. P. Mredula,
D. C. Vakaskar

**Abstract:**

**Keywords:**
multi-resolution,
Haar Wavelet,
partial differential equation,
numerical methods

##### 1575 Numerical Solution of Integral Equations by Using Discrete GHM Multiwavelet

**Authors:**
Archit Yajnik,
Rustam Ali

**Abstract:**

**Keywords:**
GHM multiwavelet,
fredholm integral equations,
quadrature method,
function approximation

##### 1574 X-Ray Dynamical Diffraction 'Third Order Nonlinear Renninger Effect'

**Authors:**
Minas Balyan

**Abstract:**

**Keywords:**
Bragg diffraction,
nonlinear Takagi’s equations,
nonlinear Renninger effect,
third order nonlinearity

##### 1573 Existence of positive periodic solutions for certain delay differential equations

**Authors:**
Farid Nouioua,
Abdelouaheb Ardjouni

**Abstract:**

**Keywords:**
delay differential equations,
positive periodic solutions,
integral equations,
Krasnoselskii fixed point theorem

##### 1572 Interest Rate Prediction with Taylor Rule

**Authors:**
T. Bouchabchoub,
A. Bendahmane,
A. Haouriqui,
N. Attou

**Abstract:**

**Keywords:**
interest rate,
Forex,
Taylor rule,
production,
European Central Bank (ECB),
Federal Reserve System (FED).