**Commenced**in January 2007

**Frequency:**Monthly

**Edition:**International

**Paper Count:**3292

# Search results for: stiff ordinary differential equation

##### 3292 On the Derivation of Variable Step BBDF for Solving Second Order Stiff ODEs

**Authors:**
S. A. M. Yatim,
Z. B. Ibrahim,
K. I. Othman,
M. Suleiman

**Abstract:**

**Keywords:**
backward differentiation formulae,
block backward differentiation formulae,
stiff ordinary differential equation,
variable step size

##### 3291 A Trapezoidal-Like Integrator for the Numerical Solution of One-Dimensional Time Dependent Schrödinger Equation

**Authors:**
Johnson Oladele Fatokun,
I. P. Akpan

**Abstract:**

**Keywords:**
Schrodinger’s equation,
partial differential equations,
method of lines (MOL),
stiff ODE,
trapezoidal-like integrator

##### 3290 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

##### 3289 Multistage Adomian Decomposition Method for Solving Linear and Non-Linear Stiff System of Ordinary Differential Equations

**Authors:**
M. S. H. Chowdhury,
Ishak Hashim

**Abstract:**

**Keywords:**
stiff system of ODEs,
Runge-Kutta Type Method,
Adomian decomposition method,
Multistage ADM

##### 3288 A Family of Second Derivative Methods for Numerical Integration of Stiff Initial Value Problems in Ordinary Differential Equations

**Authors:**
Luke Ukpebor,
C. E. Abhulimen

**Abstract:**

**Keywords:**
A-stable,
exponentially fitted,
four step,
predator-corrector,
second derivative,
stiff initial value problems

##### 3287 Empirical Evaluation of Gradient-Based Training Algorithms for Ordinary Differential Equation Networks

**Authors:**
Martin K. Steiger,
Lukas Heisler,
Hans-Georg Brachtendorf

**Abstract:**

**Keywords:**
deep neural networks,
gradient-based learning,
image processing,
ordinary differential equation networks

##### 3286 High Order Block Implicit Multi-Step (Hobim) Methods for the Solution of Stiff Ordinary Differential Equations

**Authors:**
J. P. Chollom,
G. M. Kumleng,
S. Longwap

**Abstract:**

**Keywords:**
block linear multistep methods,
high order,
implicit,
stiff differential equations

##### 3285 Modification of Newton Method in Two Points Block Differentiation Formula

**Authors:**
Khairil Iskandar Othman,
Nadhirah Kamal,
Zarina Bibi Ibrahim

**Abstract:**

**Keywords:**
modified Newton,
stiff,
BBDF,
Jacobian matrix

##### 3284 The Dynamics of Unsteady Squeezing Flow between Parallel Plates (Two-Dimensional)

**Authors:**
Jiya Mohammed,
Ibrahim Ismail Giwa

**Abstract:**

**Keywords:**
coupled differential equation,
Homotopy Perturbation Method,
plates,
squeezing flow

##### 3283 Step Method for Solving Nonlinear Two Delays Differential Equation in Parkinson’s Disease

**Authors:**
H. N. Agiza,
M. A. Sohaly,
M. A. Elfouly

**Abstract:**

*.*

**Keywords:**
Parkinson's disease,
step method,
delay differential equation,
two delays

##### 3282 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

##### 3281 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

##### 3280 Inverse Polynomial Numerical Scheme for the Solution of Initial Value Problems in Ordinary Differential Equations

**Authors:**
Ogunrinde Roseline Bosede

**Abstract:**

**Keywords:**
differential equations,
numerical,
polynomial,
initial value problem,
differential equation

##### 3279 Unsteady Similarity Solution for a Slender Dry Patch in a Thin Newtonian Fluid Film

**Authors:**
S. S. Abas,
Y. M. Yatim

**Abstract:**

**Keywords:**
dry patch,
Newtonian fluid,
similarity solution,
surface-tension effect,
travelling-wave,
unsteady thin-film flow

##### 3278 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

##### 3277 Comparing Numerical Accuracy of Solutions of Ordinary Differential Equations (ODE) Using Taylor's Series Method, Euler's Method and Runge-Kutta (RK) Method

**Authors:**
Palwinder Singh,
Munish Sandhir,
Tejinder Singh

**Abstract:**

**Keywords:**
Ordinary differential equations (ODE),
Taylor’s Series Method,
Euler’s Method,
Runge-Kutta Fourth Order Method

##### 3276 Development of Variable Order Block Multistep Method for Solving Ordinary Differential Equations

**Authors:**
Mohamed Suleiman,
Zarina Bibi Ibrahim,
Nor Ain Azeany,
Khairil Iskandar Othman

**Abstract:**

**Keywords:**
block backward differentiation formulas,
uniform step size,
ordinary differential equations

##### 3275 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

##### 3274 Fixed Point Iteration of a Damped and Unforced Duffing's Equation

**Authors:**
Paschal A. Ochang,
Emmanuel C. Oji

**Abstract:**

**Keywords:**
damping,
Duffing's equation,
fixed point analysis,
second order differential,
stability analysis

##### 3273 Solution of Singularly Perturbed Differential Difference Equations Using Liouville Green Transformation

**Authors:**
Y. N. Reddy

**Abstract:**

**Keywords:**
difference equations,
differential equations,
singular perturbations,
boundary layer

##### 3272 Study and Solving Partial Differential Equation of Danel Equation in the Vibration Shells

**Authors:**
Hesamoddin Abdollahpour,
Roghayeh Abdollahpour,
Elham Rahgozar

**Abstract:**

**Keywords:**
large amplitude,
free vibrations,
analytical solution,
Danell Equation,
diagram of phase plane

##### 3271 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

##### 3270 A Class of Third Derivative Four-Step Exponential Fitting Numerical Integrator for Stiff Differential Equations

**Authors:**
Cletus Abhulimen,
L. A. Ukpebor

**Abstract:**

**Keywords:**
third derivative four-step,
exponentially fitted,
a-stable,
stiff differential equations

##### 3269 Large Amplitude Vibration of Sandwich Beam

**Authors:**
Youssef Abdelli,
Rachid Nasri

**Abstract:**

**Keywords:**
finite difference method,
large amplitude vibration,
multiple scales,
nonlinear vibration

##### 3268 On a Continuous Formulation of Block Method for Solving First Order Ordinary Differential Equations (ODEs)

**Authors:**
A. M. Sagir

**Abstract:**

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

##### 3267 Rayleigh Wave Propagation in an Orthotropic Medium under the Influence of Exponentially Varying Inhomogeneities

**Authors:**
Sumit Kumar Vishwakarma

**Abstract:**

**Keywords:**
Rayleigh waves,
orthotropic medium,
gravity field,
inhomogeneity

##### 3266 Periodicity of Solutions of a Nonlinear Impulsive Differential Equation with Piecewise Constant Arguments

**Authors:**
Mehtap Lafcı

**Abstract:**

**Keywords:**
Carvalho's method,
impulsive differential equation,
periodic solution,
piecewise constant arguments

##### 3265 A Spectral Decomposition Method for Ordinary Differential Equation Systems with Constant or Linear Right Hand Sides

**Authors:**
R. B. Ogunrinde,
C. C. Jibunoh

**Abstract:**

**Keywords:**
spectral decomposition,
linear RHS,
homogeneous linear systems,
eigenvalues of the Jacobian

##### 3264 The Development of a New Block Method for Solving Stiff ODEs

**Authors:**
Khairil I. Othman,
Mahfuzah Mahayaddin,
Zarina Bibi Ibrahim

**Abstract:**

**Keywords:**
block method,
divided difference,
stiff,
computational

##### 3263 Differential Transform Method: Some Important Examples

**Authors:**
M. Jamil Amir,
Rabia Iqbal,
M. Yaseen

**Abstract:**

**Keywords:**
differential transform method,
laplace equation,
Dirichlet boundary conditions,
Neumann boundary conditions