Results 71 to 76 of about 462 (76)

Numerical solution of non-linear boundary value problems of ordinary differential equations using the shooting technique

, 2017
Ordinary Differential Equations (ODEs) of the Initial Value Problem (IVP) or Boundary Value Problem (BVP) type can model phenomena in wide range of fields including science, engineering, economics, social science, biology, business, health care among ...
A. Manyonge, R. Opiyo, D. Kweyu, J. S. Maremwa   +3 more
semanticscholar   +1 more source

Higher-Order Accurate Schemes for a Variable Coefficient Singularly Perturbed Reaction-Diffusion Problem of Highly Oscillatory Type

, 2016
This paper addresses the numerical approximation of linear, steady, one-dimensional, variable coefficient singular perturbation problems of reaction-diffusion type which exhibit rapid oscillations. Since the diffusion and reaction terms are of like sign,
M. BrianJ., Cartin
semanticscholar   +1 more source

The solution method and its accuracy for a nonlinear Timoshenko axisymmetric shell model

ESAIM: Mathematical Modelling and Numerical Analysis
The boundary value problem of the axisymmetric displacement of a Timoshenko (cylindrical) shell in static regime was considered. From the given nonlinear system of ordinary differential equations with respect to the displacement functions $u$, $w$  and $\
J. Peradze, N. Kachakhidze
semanticscholar   +1 more source

An Advantageous Numerical Method for Solution of Linear Differential Equations by Stancu Polynomials

Trends in Computer Science and Information Technology
In this study, a numerical method that is alternative to the Bernstein collocation method has been investigated for solution of the linear differential equations.
Acar Nese Isler
semanticscholar   +1 more source

Robust computational methods for a coupled system of singularly perturbed reaction-diffusion equations with discontinuous source term

, 2015
This paper presents two robust computational methods to solve a system of singularly perturbed weakly coupled reaction-di ff usion equations having di ff usion parameters with same magnitude with discontinuous source term subject to Dirichlet boundary ...
Mahabub Basha Pathan, Shanthi Vembu
semanticscholar   +1 more source

IMPLICIT COLLOCATION METHOD FOR A CLASS OF SECOND ORDER NONLINEAR DIFFERENTIAL EQUATIONS

, 2014
The aim of this paper is to present a numerical method to solve of a class of singular second order nonlinear differential equations. The singularity of the nonlinear differential equation is modified by L’Hospital rule and boundary condition y′(0) = 0 ...
M. Ahmadinia, Z. Safari
semanticscholar   +1 more source