Singularly Perturbed Boundary Value Problems
Robust Monotone Iterates for Nonlinear Singularly Perturbed Boundary Value Problems
... This paper is concerned with solving nonlinear singularly perturbed boundary value problems. Robust monotone iterates for solving nonlinear di ff erence scheme are constructed. Uniform ...
17
Exponential Spline Solution for Singularly Perturbed Boundary Value Problems with an Uncertain—But—Bounded Parameter
... of singularly perturbed boundary value problems, using finite element method ...self-adjoint singularly perturbed two-point boundary value ...two-point ...
10
B Spline Collocation Method for Solving Singularly Perturbed Boundary Value Problems
... We use fifth order B-spline functions to construct the numerical method for solving singularly perturbed boundary value problems. We use B-spline collocation method, which leads to a ...
6
Fourth-order stable central difference with Richardson extrapolation method for second-order self-adjoint singularly perturbed boundary value problems
... solve singularly perturbed reaction-diffusion ...self-adjoint singularly perturbed two-point boundary value ...self-adjoint singularly perturbed boundary ...
14
Application of Parameter Expansion Method for Nonlinear Singularly Perturbed Boundary Value Problems (BVP’S) S. A. Egbetade, I. A. Salawu, S. A. Agboluaje
... The arbitrary µ-functions are then eliminated to give a set of (M - 2) second order ordinary differential equations. Two extra equations are obtained using (19). Altogether, we have M second order ordinary differential ...
5
A spline method for solving fourth order singularly perturbed boundary value problem
... of singularly perturbed boundary value problems for higher order nonlinear ordinary differential equations, which have important applications in Fluid Dynamics, can be found in [1,2,6- ...
11
THIN FILM ROUGHNESS OPTIMIZATION IN THE TIN COATINGS USING GENETIC ALGORITHMS
... the boundary value problem makes it possible to investigate the asymptotic behavior of the solution of a general boundary-value problem for higher-order linear ...nonlinear boundary ...
10
Isogeometric analysis for singularly perturbed problems in 1-D: error estimates
... one-dimensional singularly perturbed boundary value problems of reaction-convection- diffusion type, and the approximation of their solution using isogeometric ...
25
A family of singular ordinary differential equations of the third order with an integral boundary condition
... Singular boundary value problems arise very frequently in fluid mechanics and in other branches of applied ...with singularly perturbed boundary value problems, ...
11
Numerical Solution of Singularly Perturbed Two Point Boundary Value Problem via Liouville Green Transform
... [11] Y. N. Reddy and P. Pramod Chakravarthy, “Method of Reduction of Order for Solving Singularly Perturbed Two-Point Boundary Value Problems,” Applied Mathe- matics and Computation, ...
5
Nonlocal Four-Point Boundary Value Problem for the Singularly Perturbed Semilinear Differential Equations
... the singularly perturbed second-order nonlinear differential ...control problems, such as the steady states of the thermostats, where the controllers add or remove heat, depending upon the temperature ...
9
A diagonal preconditioner for singularly perturbed problems
... for singularly perturbed two-point boundary value problems, one can observe that the condition numbers of arising stiffness matrices are growing with decreasing parameter when a ...
10
Singularly perturbed semilinear elliptic boundary value problems with discontinuous source term
... of singularly perturbed semilinear elliptic boundary value problems with discontinuous source term on two different domains is considered in this ...of boundary layer ...
17
A class of singularly perturbed delayed boundary value problem in the critical case
... Besides, boundary layers may occur at t = and t = T , because the solution of reduced problems may not satisfy the initial boundary value ...
21
Singularly perturbed second order semilinear boundary value problems with interface conditions
... of singularly perturbed interface boundary value problems with discontinuous source ...of boundary functions and the lemma of lower-upper solutions we obtain the existence, ...
16
A Numerical Method for Nonlinear Singularly Perturbed Multi Point Boundary Value Problem
... has boundary layers at x = 0, x = 1 . Singularly perturbed differential equations arise many applications such as, fluid mechanics, chemical-reactor theory, the Navier-Stokes equations of fluid flow ...
14
A review on singular perturbed delay differential equations
... treated singularly perturbed delay differential equation of second order using B-spline collocation ...handle singularly perturbed ...the boundary layer region than outside these ...
6
An Asymptotic Fitted Method for Solving Singularly Perturbed Delay Differential Equations
... The problems in which the highest order derivative term is multiplied by a small parameter are known to be per- turbed problems and the parameter is known as the per- turbation ...A singularly ...
8
Uniform Second Order Difference Method for a Singularly Perturbed Three Point Boundary Value Problem
... Computational methods for singularly perturbed problems with two small parameters have been studied in different ways 17–21. In this paper, we propose the hybrid scheme for solving the nonlocal ...
13
A Numerical Method for Singular Boundary Value Problems
... The purpose of this note is to develop an iterative method for singular and singularly perturbed boundary val- ue problems. The method is explicit in nature, and can be considered to be an ...
7