**Commenced**in January 2007

**Frequency:**Monthly

**Edition:**International

**Paper Count:**5740

# Search results for: finite difference

##### 5740 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

##### 5739 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

##### 5738 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

##### 5737 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

##### 5736 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

##### 5735 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

##### 5734 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

##### 5733 [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

##### 5732 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

##### 5731 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

##### 5730 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

##### 5729 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

##### 5728 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

##### 5727 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

##### 5726 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

##### 5725 Stabilization of the Bernoulli-Euler Plate Equation: Numerical Analysis

**Authors:**
Carla E. O. de Moraes,
Gladson O. Antunes,
Mauro A. Rincon

**Abstract:**

**Keywords:**
Bernoulli-Euler plate equation,
numerical simulations,
stability,
energy decay,
finite difference method

##### 5724 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

##### 5723 Coupling of Two Discretization Schemes for the Lattice Boltzmann Equation

**Authors:**
Tobias Horstmann,
Thomas Le Garrec,
Daniel-Ciprian Mincu,
Emmanuel Lévêque

**Abstract:**

**Keywords:**
algorithm coupling,
finite volume formulation,
grid refinement,
Lattice Boltzmann method

##### 5722 A Simple Heat and Mass Transfer Model for Salt Gradient Solar Ponds

**Authors:**
Safwan Kanan,
Jonathan Dewsbury,
Gregory Lane-Serff

**Abstract:**

**Keywords:**
finite difference method,
salt-gradient solar-pond,
solar energy,
transient heat and mass transfer

##### 5721 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

##### 5720 Cubic Trigonometric B-Spline Approach to Numerical Solution of Wave Equation

**Authors:**
Shazalina Mat Zin,
Ahmad Abd. Majid,
Ahmad Izani Md. Ismail,
Muhammad Abbas

**Abstract:**

**Keywords:**
collocation method,
cubic trigonometric B-spline,
finite difference,
wave equation

##### 5719 Analysis of Nonlinear Pulse Propagation Characteristics in Semiconductor Optical Amplifier for Different Input Pulse Shapes

**Authors:**
Suchi Barua,
Narottam Das,
Sven Nordholm,
Mohammad Razaghi

**Abstract:**

**Keywords:**
finite-difference beam propagation method,
pulse shape,
pulse propagation,
semiconductor optical amplifier

##### 5718 Characterization of Number of Subgroups of Finite Groups

**Authors:**
Khyati Sharma,
A. Satyanarayana Reddy

**Abstract:**

**Keywords:**
abstract algebra,
cyclic subgroup,
finite group,
subgroup

##### 5717 The Analysis of the Two Dimensional Huxley Equation Using the Galerkin Method

**Authors:**
Pius W. Molo Chin

**Abstract:**

**Keywords:**
Huxley equations,
non-standard finite difference method,
Galerkin method,
optimal rate of convergence

##### 5716 Free Convective Flow in a Vertical Cylinder with Heat Sink: A Numerical Study

**Authors:**
Emmanuel Omokhuale

**Abstract:**

**Keywords:**
free convection flow,
vertical cylinder,
implicit finite difference method,
heat sink and porous medium

##### 5715 Cooling Profile Analysis of Hot Strip Coil Using Finite Volume Method

**Authors:**
Subhamita Chakraborty,
Shubhabrata Datta,
Sujay Kumar Mukherjea,
Partha Protim Chattopadhyay

**Abstract:**

**Keywords:**
simulation,
modeling,
thermal analysis,
coil cooling,
contact pressure,
finite volume method

##### 5714 Finite Difference Modelling of Temperature Distribution around Fire Generated Heat Source in an Enclosure

**Authors:**
A. A. Dare,
E. U. Iniegbedion

**Abstract:**

**Keywords:**
heat source,
modelling,
enclosure,
furnace

##### 5713 Modal FDTD Method for Wave Propagation Modeling Customized for Parallel Computing

**Authors:**
H. Samadiyeh,
R. Khajavi

**Abstract:**

**Keywords:**
Finite Difference Method,
Graphics Processing Unit (GPU),
Message Passing Interface (MPI),
Modal,
Wave propagation

##### 5712 Time-Domain Analysis of Pulse Parameters Effects on Crosstalk in High-Speed Circuits

**Authors:**
Loubna Tani,
Nabih Elouzzani

**Abstract:**

**Keywords:**
multiconductor transmission line,
crosstalk,
finite difference time domain (FDTD),
printed-circuit board (PCB),
rise time,
statistical analysis

##### 5711 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