**Commenced**in January 2007

**Frequency:**Monthly

**Edition:**International

**Paper Count:**16233

# Search results for: finite difference methods

##### 16233 New High Order Group Iterative Schemes in the Solution of Poisson Equation

**Authors:**
Sam Teek Ling,
Norhashidah Hj. Mohd. Ali

**Abstract:**

**Keywords:**
explicit group iterative method,
finite difference,
fourth order compact,
Poisson equation

##### 16232 Electromagnetic Wave Propagation Equations in 2D by Finite Difference Method

**Authors:**
N. Fusun Oyman Serteller

**Abstract:**

**Keywords:**
finite difference method,
finite element method,
linear-nonlinear PDEs,
symbolic computation,
wave propagation equations

##### 16231 Fractional Euler Method and Finite Difference Formula Using Conformable Fractional Derivative

**Authors:**
Ramzi B. Albadarneh

**Abstract:**

**Keywords:**
conformable fractional derivative,
finite difference formula,
fractional derivative,
finite difference formula

##### 16230 A Non-Standard Finite Difference Scheme for the Solution of Laplace Equation with Dirichlet Boundary Conditions

**Authors:**
Khaled Moaddy

**Abstract:**

**Keywords:**
standard finite difference schemes,
non-standard schemes,
Laplace equation,
Dirichlet boundary conditions

##### 16229 Fast and Accurate Finite-Difference Method Solving Multicomponent Smoluchowski Coagulation Equation

**Authors:**
Alexander P. Smirnov,
Sergey A. Matveev,
Dmitry A. Zheltkov,
Eugene E. Tyrtyshnikov

**Abstract:**

**Keywords:**
tensor train decomposition,
multicomponent Smoluchowski equation,
runge-kutta scheme,
convolution

##### 16228 Modelling and Analysis of Shear Banding in Flow of Complex Fluids

**Authors:**
T. Chinyoka

**Abstract:**

**Keywords:**
Johnson-Segalman model,
diffusive Johnson-Segalman model,
shear banding,
finite difference methods,
complex fluid flow

##### 16227 Analytical Study Of Holographic Polymer Dispersed Liquid Crystals Using Finite Difference Time Domain Method

**Authors:**
N. R. Mohamad,
H. Ono,
H. Haroon,
A. Salleh,
N. M. Z. Hashim

**Abstract:**

**Keywords:**
birefringence,
diffraction efficiency,
finite domain time difference,
nematic liquid crystals

##### 16226 A Comparative Study of High Order Rotated Group Iterative Schemes on Helmholtz Equation

**Authors:**
Norhashidah Hj. Mohd Ali,
Teng Wai Ping

**Abstract:**

*.*The presented method is derived from a nine-point fourth order finite difference approximation formula obtained from a 45-degree rotation of the standard grid which makes it possible for the construction of iterative procedure with reduced complexity. The developed method will be compared with the existing group iterative schemes available in literature in terms of computational time, iteration counts, and computational complexity. The comparative performances of the methods will be discussed and reported.

**Keywords:**
explicit group method,
finite difference,
helmholtz equation,
rotated grid,
standard grid

##### 16225 Relevancy Measures of Errors in Displacements of Finite Elements Analysis Results

**Authors:**
A. B. Bolkhir,
A. Elshafie,
T. K. Yousif

**Abstract:**

**Keywords:**
finite element analysis (FEA),
discretization error,
round-off error,
mesh refinement,
richardson extrapolation,
monotonic convergence

##### 16224 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

##### 16223 An Implicit High Order Difference Scheme for the Solution of 1D Pennes Bio-Heat Transfer Model

**Authors:**
Swarn Singh,
Suruchi Singh

**Abstract:**

**Keywords:**
convergence,
finite difference scheme,
Pennes bio-heat equation,
stability

##### 16222 Comparison of Finite Difference Schemes for Numerical Study of Ripa Model

**Authors:**
Sidrah Ahmed

**Abstract:**

**Keywords:**
finite difference schemes,
Riemann problem,
shallow water equations,
temperature gradients

##### 16221 A Comparative Study between FEM and Meshless Methods

**Authors:**
Jay N. Vyas,
Sachin Daxini

**Abstract:**

**Keywords:**
numerical simulation,
Grid-based methods,
Finite Element Method,
Meshless Methods

##### 16220 An Alternative Framework of Multi-Resolution Nested Weighted Essentially Non-Oscillatory Schemes for Solving Euler Equations with Adaptive Order

**Authors:**
Zhenming Wang,
Jun Zhu,
Yuchen Yang,
Ning Zhao

**Abstract:**

**Keywords:**
finite-difference,
WENO schemes,
high order,
inviscid Euler equations,
multi-resolution

##### 16219 Elastohydrodynamic Lubrication Study Using Discontinuous Finite Volume Method

**Authors:**
Prawal Sinha,
Peeyush Singh,
Pravir Dutt

**Abstract:**

**Keywords:**
elastohydrodynamic,
lubrication,
discontinuous finite volume method,
GMRES technique

##### 16218 Compressible Lattice Boltzmann Method for Turbulent Jet Flow Simulations

**Authors:**
K. Noah,
F.-S. Lien

**Abstract:**

**Keywords:**
compressible lattice Boltzmann method,
multiple relaxation times,
large eddy simulation,
turbulent jet flows

##### 16217 [Keynote Talk]: Analysis of One Dimensional Advection Diffusion Model Using Finite Difference Method

**Authors:**
Vijay Kumar Kukreja,
Ravneet Kaur

**Abstract:**

**Keywords:**
Crank-Nicolson scheme,
Lax-Richtmyer theorem,
stability,
consistency,
Peclet number,
Greschgorin circle

##### 16216 Noncommutative Diﬀerential Structure on Finite Groups

**Authors:**
Ibtisam Masmali,
Edwin Beggs

**Abstract:**

**Keywords:**
diﬀerential calculi,
ﬁnite group A4,
Christoﬀel symbols,
covariant derivative,
torsion compatible

##### 16215 Numerical Methods versus Bjerksund and Stensland Approximations for American Options Pricing

**Authors:**
Marasovic Branka,
Aljinovic Zdravka,
Poklepovic Tea

**Abstract:**

**Keywords:**
Bjerksund and Stensland approximations,
computational analysis,
finance,
options pricing,
numerical methods

##### 16214 3-D Modeling of Particle Size Reduction from Micro to Nano Scale Using Finite Difference Method

**Authors:**
Himanshu Singh,
Rishi Kant,
Shantanu Bhattacharya

**Abstract:**

**Keywords:**
particle size reduction,
micromixer,
FDM modelling,
wet etching

##### 16213 Comparison of Finite-Element and IEC Methods for Cable Thermal Analysis under Various Operating Environments

**Authors:**
M. S. Baazzim,
M. S. Al-Saud,
M. A. El-Kady

**Abstract:**

**Keywords:**
cable ampacity,
finite element method,
underground cable,
thermal rating

##### 16212 Matrix Valued Difference Equations with Spectral Singularities

**Authors:**
Serifenur Cebesoy,
Yelda Aygar,
Elgiz Bairamov

**Abstract:**

**Keywords:**
asymptotics,
continuous spectrum,
difference equations,
eigenvalues,
jost functions,
spectral singularities

##### 16211 Finite Element Method for Solving the Generalized RLW Equation

**Authors:**
Abdel-Maksoud Abdel-Kader Soliman

**Abstract:**

**Keywords:**
generalized RLW equation,
solitons,
quartic b-spline,
nonlinear partial differential equations,
difference equations

##### 16210 Conduction Transfer Functions for the Calculation of Heat Demands in Heavyweight Facade Systems

**Authors:**
Mergim Gasia,
Bojan Milovanovica,
Sanjin Gumbarevic

**Abstract:**

**Keywords:**
Laplace method,
state-space method,
conduction transfer functions,
finite difference method

##### 16209 Spectrophotometric Methods for Simultaneous Determination of Binary Mixture of Amlodipine Besylate and Atenolol Based on Dual Wavelength

**Authors:**
Nesrine T. Lamie

**Abstract:**

**Keywords:**
amlodipine,
atenolol,
absorption factor,
constant center,
mean centering,
ratio difference

##### 16208 Numerical Investigation of Beam-Columns Subjected to Non-Proportional Loadings under Ambient Temperature Conditions

**Authors:**
George Adomako Kumi

**Abstract:**

**Keywords:**
beam-columns,
axial loading,
biaxial bending,
torsion,
ABAQUS,
finite difference method

##### 16207 Finite Difference Method of the Seismic Analysis of Earth Dam

**Authors:**
Alaoua Bouaicha,
Fahim Kahlouche,
Abdelhamid Benouali

**Abstract:**

**Keywords:**
Earthquake,
Numerical Analysis,
FLAC2D,
Displacement,
Embankment Dam,
Pore Water Pressure

##### 16206 A Note on MHD Flow and Heat Transfer over a Curved Stretching Sheet by Considering Variable Thermal Conductivity

**Authors:**
M. G. Murtaza,
E. E. Tzirtzilakis,
M. Ferdows

**Abstract:**

**Keywords:**
curved stretching sheet,
finite difference method,
MHD,
variable thermal conductivity

##### 16205 Numerical Evolution Methods of Rational Form for Diffusion Equations

**Authors:**
Said Algarni

**Abstract:**

**Keywords:**
Padé time stepping,
finite difference,
reaction diffusion equation,
PDEs

##### 16204 New Fourth Order Explicit Group Method in the Solution of the Helmholtz Equation

**Authors:**
Norhashidah Hj Mohd Ali,
Teng Wai Ping

**Abstract:**

**Keywords:**
explicit group method,
finite difference,
Helmholtz equation,
five-point formula,
nine-point formula