**Commenced**in January 2007

**Frequency:**Monthly

**Edition:**International

**Paper Count:**80

# Search results for: Chebyshev polynomials

##### 80 Chebyshev Polynomials Relad with Fibonacci and Lucas Polynomials

**Authors:**
Vandana N. Purav

**Abstract:**

##### 79 Fractional Order Differentiator Using Chebyshev Polynomials

**Authors:**
Koushlendra Kumar Singh,
Manish Kumar Bajpai,
Rajesh Kumar Pandey

**Abstract:**

**Keywords:**
fractional order derivative,
chebyshev
polynomials,
signals,
S-G differentiator

##### 78 Convergence Analysis of Cubic B-Spline Collocation Method for Time Dependent Parabolic Advection-Diffusion Equations

**Authors:**
Bharti Gupta,
V. K. Kukreja

**Abstract:**

**Keywords:**
cubic B-spline basis,
spectral norms,
shifted Chebyshev polynomials,
collocation points,
error estimates

##### 77 Polar Bergman Polynomials on Domain with Corners

**Authors:**
Laskri Yamina,
Rehouma Abdel Hamid

**Abstract:**

**Keywords:**
Bergman orthogonal polynomials,
polar rthogonal polynomials,
asymptotic behavior,
Faber polynomials

##### 76 An Efficient Algorithm of Time Step Control for Error Correction Method

**Authors:**
Youngji Lee,
Yonghyeon Jeon,
Sunyoung Bu,
Philsu Kim

**Abstract:**

**Keywords:**
stiff initial value problem,
error correction method,
generalized Chebyshev polynomial,
node points

##### 75 Numerical Solution of Space Fractional Order Solute Transport System

**Authors:**
Shubham Jaiswal

**Abstract:**

**Keywords:**
spatial fractional order advection-dispersion equation,
second-kind shifted Chebyshev polynomial,
collocation method,
conservative system,
non-conservative system

##### 74 Numerical Solution of Two-Dimensional Solute Transport System Using Operational Matrices

**Authors:**
Shubham Jaiswal

**Abstract:**

**Keywords:**
two-dimensional solute transport system,
spectral collocation method,
Chebyshev polynomials,
Chebyshev differentiation matrix

##### 73 Optimal Image Representation for Linear Canonical Transform Multiplexing

**Authors:**
Navdeep Goel,
Salvador Gabarda

**Abstract:**

**Keywords:**
chirp signals,
image multiplexing,
image transformation,
linear canonical transform,
polynomial approximation

##### 72 Approximations of Fractional Derivatives and Its Applications in Solving Non-Linear Fractional Variational Problems

**Authors:**
Harendra Singh,
Rajesh Pandey

**Abstract:**

**Keywords:**
non-linear fractional variational problems,
Rayleigh-Ritz method,
convergence analysis,
error analysis

##### 71 Hydromagnetic Linear Instability Analysis of Giesekus Fluids in Taylor-Couette Flow

**Authors:**
K. Godazandeh,
K. Sadeghy

**Abstract:**

**Keywords:**
magnetic field,
Taylor-Couette flow,
Giesekus model,
pseudo spectral method,
Chebyshev polynomials,
Hartmann number,
Weissenberg number,
mobility factor

##### 70 Modelling of Polymeric Fluid Flows between Two Coaxial Cylinders Taking into Account the Heat Dissipation

**Authors:**
Alexander Blokhin,
Ekaterina Kruglova,
Boris Semisalov

**Abstract:**

**Keywords:**
dynamics of polymeric liquid,
heat dissipation,
singularly perturbed problem,
pseudospectral method,
Chebyshev polynomials,
stabilization technique

##### 69 Bernstein Type Polynomials for Solving Differential Equations and Their Applications

**Authors:**
Yilmaz Simsek

**Abstract:**

**Keywords:**
generating functions,
Bernstein basis functions,
Bernstein polynomials,
Bezier curves,
differential equations

##### 68 Numerical Simulation of Laser Propagation through Turbulent Atmosphere Using Zernike Polynomials

**Authors:**
Mohammad Moradi

**Abstract:**

**Keywords:**
laser beam propagation,
phase screen,
turbulent atmosphere,
Zernike polynomials

##### 67 Fast and Efficient Algorithms for Evaluating Uniform and Nonuniform Lagrange and Newton Curves

**Authors:**
Taweechai Nuntawisuttiwong,
Natasha Dejdumrong

**Abstract:**

**Keywords:**
Lagrange interpolation,
linear complexity,
monomial matrix,
Newton interpolation

##### 66 Some Results on the Generalized Higher Rank Numerical Ranges

**Authors:**
Mohsen Zahraei

**Abstract:**

**Keywords:**
Rank-k numerical range,
isometry,
numerical range,
rectangular matrix polynomials

##### 65 Forward Stable Computation of Roots of Real Polynomials with Only Real Distinct Roots

**Authors:**
Nevena Jakovčević Stor,
Ivan Slapničar

**Abstract:**

**Keywords:**
roots of polynomials,
eigenvalue decomposition,
arrowhead matrix,
high relative accuracy

##### 64 A Robust Optimization of Chassis Durability/Comfort Compromise Using Chebyshev Polynomial Chaos Expansion Method

**Authors:**
Hanwei Gao,
Louis Jezequel,
Eric Cabrol,
Bernard Vitry

**Abstract:**

**Keywords:**
chassis durability,
Chebyshev polynomials,
multi-objective optimization,
polynomial chaos expansion,
ride comfort,
robust design

##### 63 A Numerical Solution Based on Operational Matrix of Differentiation of Shifted Second Kind Chebyshev Wavelets for a Stefan Problem

**Authors:**
Rajeev,
N. K. Raigar

**Abstract:**

**Keywords:**
operational matrix of differentiation,
similarity transformation,
shifted second kind chebyshev wavelets,
stefan problem

##### 62 A Proof for Goldbach's Conjecture

**Authors:**
Hashem Sazegar

**Abstract:**

**Keywords:**
Bertrand-Chebyshev theorem,
Landau’s problems,
twin prime,
Legendre’s conjecture,
Oppermann’s conjecture

##### 61 A Survey on Routh-Hurwitz Stability Criterion

**Authors:**
Mojtaba Hakimi-Moghaddam

**Abstract:**

**Keywords:**
Hurwitz polynomials,
Routh-Hurwitz stability criterion,
continued fraction expansion,
pure imaginary roots

##### 60 Edge Detection in Low Contrast Images

**Authors:**
Koushlendra Kumar Singh,
Manish Kumar Bajpai,
Rajesh K. Pandey

**Abstract:**

**Keywords:**
low contrast image,
fractional order differentiator,
Laplacian of Gaussian (LoG) method,
chebyshev polynomial

##### 59 Effect of Coriolis Force on Magnetoconvection in an Anisotropic Porous Medium

**Authors:**
N. F. M. Mokhtar,
N. Z. A. Hamid

**Abstract:**

**Keywords:**
anisotropic,
Chebyshev tau method,
Coriolis force,
Magnetic field

##### 58 The K-Distance Neighborhood Polynomial of a Graph

**Authors:**
Soner Nandappa D.,
Ahmed Mohammed Naji

**Abstract:**

**Keywords:**
vertex degrees,
distance in graphs,
graph operation,
Nk-polynomials

##### 57 On Hankel Matrices Approach to Interpolation Problem in Infinite and Finite Fields

**Authors:**
Ivan Baravy

**Abstract:**

**Keywords:**
Berlekamp-Massey algorithm,
exponential interpolation,
finite fields,
Hankel matrices,
Hankel polynomials

##### 56 Large Time Asymptotic Behavior to Solutions of a Forced Burgers Equation

**Authors:**
Satyanarayana Engu,
Ahmed Mohd,
V. Murugan

**Abstract:**

**Keywords:**
Burgers equation,
Cole-Hopf transformation,
Hermite polynomials,
large time asymptotics

##### 55 On One New Solving Approach of the Plane Mixed Problem for an Elastic Semistrip

**Authors:**
Natalia D. Vaysfel’d,
Zinaida Y. Zhuravlova

**Abstract:**

**Keywords:**
semi strip,
Green's Matrix,
fourier transformation,
orthogonal polynomials method

##### 54 A Modified Decoupled Semi-Analytical Approach Based On SBFEM for Solving 2D Elastodynamic Problems

**Authors:**
M. Fakharian,
M. I. Khodakarami

**Abstract:**

**Keywords:**
2D elastodynamic problems,
lagrange polynomials,
G-L-Lquadrature,
decoupled SBFEM

##### 53 A Method for solving Legendre's Conjecture

**Authors:**
Hashem Sazegar

**Abstract:**

**Keywords:**
bertrand-chebyshev theorem,
landau’s problems,
goldbach’s conjecture,
twin prime,
ramanujan proof

##### 52 Graphical Theoretical Construction of Discrete time Share Price Paths from Matroid

**Authors:**
Min Wang,
Sergey Utev

**Abstract:**

**Keywords:**
combinatorial construction,
graphical representation,
matroid,
path calculation,
share price,
Tutte polynomial

##### 51 Low-Voltage and Low-Power Bulk-Driven Continuous-Time Current-Mode Differentiator Filters

**Authors:**
Ravi Kiran Jaladi,
Ezz I. El-Masry

**Abstract:**

**Keywords:**
bulk-driven (BD),
continuous-time current-mode filters (CTCM),
gate-driven (GD)