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[PDF] Top 20 A fitted numerical scheme for second order singularly perturbed delay differential equations via cubic spline in compression

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A fitted numerical scheme for second order singularly perturbed delay differential equations via cubic spline in compression

A fitted numerical scheme for second order singularly perturbed delay differential equations via cubic spline in compression

... difference equations can be found in the collection of books, to name a few, Bellman and Cooke [], Driver [], El’sgol’ts and Norkin [], Erneux [], Gopalsamy [], Györi and Ladas [], Halanay [], Kuang [] and ... See full document

14

A Parameter Robust Method for Singularly Perturbed Delay Differential Equations

A Parameter Robust Method for Singularly Perturbed Delay Differential Equations

... In order to construct parameter-uniform numerical methods for singularly perturbed differential equations, two different techniques are ...the fitted operator approach 20 which has ... See full document

14

A review on singular perturbed delay differential equations

A review on singular perturbed delay differential equations

... these equations with negative shift whose solution has boundary ...this scheme author reduced the second order SPDDE to first order equation and then employed numerical ... See full document

6

Singularly Perturbed Parabolic Differential Equations with Turning Point and Retarded Arguments

Singularly Perturbed Parabolic Differential Equations with Turning Point and Retarded Arguments

... Classical numerical methods turn out to be inapplicable for singular perturbation ...the numerical solution depend on the perturbation parameter and become small only when the effective mesh-size in the ... See full document

6

Spline in Compression Methods for Singularly Perturbed 1D Parabolic Equations with Singular Coefficients

Spline in Compression Methods for Singularly Perturbed 1D Parabolic Equations with Singular Coefficients

... tension spline method for the solution of second order singularly perturbed boundary value ...parametric spline function ...the numerical solution of singularly ... See full document

8

A spline method for solving fourth order singularly perturbed boundary value problem

A spline method for solving fourth order singularly perturbed boundary value problem

... and numerical treatment of these equations have drawn much attention of many authors [5,22- ...of singularly perturbed boundary value problems for higher order nonlinear ordinary ... See full document

11

Parameter uniform numerical method for a singularly perturbed boundary value problem for a linear system of parabolic second order delay differential equations

Parameter uniform numerical method for a singularly perturbed boundary value problem for a linear system of parabolic second order delay differential equations

... A singularly perturbed boundary value problem for a linear system of two parabolic second order delay differential equations of reaction-diffusion type is ...highest ... See full document

14

The coupled method for singularly perturbed Volterra integro differential equations

The coupled method for singularly perturbed Volterra integro differential equations

... the singularly perturbed Volterra integral and integro-differential equations include exponential finite difference method, finite dif- ference method, implicit Runge–Kutta method, tension spline ... See full document

16

Solving Singularly Perturbed Differential-Difference Equations using Special Finite Difference Method

Solving Singularly Perturbed Differential-Difference Equations using Special Finite Difference Method

... broad numerical work for solving singularly perturbed delay differential equations based on finite difference scheme, fitted mesh and B-spline method, ... See full document

10

An Exponentially Fitted Method for Singularly Perturbed Delay Differential Equations

An Exponentially Fitted Method for Singularly Perturbed Delay Differential Equations

... with singularly perturbed initial value problem for linear first-order delay differential ...exponentially fitted difference scheme is constructed in an equidistant mesh, which ... See full document

9

An Asymptotic Fitted Method for Solving Singularly Perturbed Delay Differential Equations

An Asymptotic Fitted Method for Solving Singularly Perturbed Delay Differential Equations

... solve singularly perturbed delay differential equations of second order with left and right ...the singularly perturbed delay differential ... See full document

8

Uniform Difference Scheme on the Singularly Perturbed System

Uniform Difference Scheme on the Singularly Perturbed System

... include fitted finite dif- ference methods, finite element methods using special elements such as exponential elements, and methods which use a priori refined or special non-uniform grids which condense in the ... See full document

7

On the Oscillation of Second Order Neutral Delay Differential Equations

On the Oscillation of Second Order Neutral Delay Differential Equations

... differential equations find numerous applications in natural science and ...neutral delay differential equations, and we refer to the recent papers 2–23 and the references cited ... See full document

8

Crank -Nicolson scheme for solving a system of singularly perturbed partial differential equations of parabolic type

Crank -Nicolson scheme for solving a system of singularly perturbed partial differential equations of parabolic type

... the numerical method proposed in this paper is illustrated through an example presented in this ...of singularly perturbed boundary value problem for a linear parabolic second order ... See full document

8

On Connection between Second Order Delay Differential Equations and Integrodifferential Equations with Delay

On Connection between Second Order Delay Differential Equations and Integrodifferential Equations with Delay

... of second-order functional dynamic equations on time scales,” Advances in Difference Equations, ...sublinear second-order discrete boundary value problems,” Advances in Difference ... See full document

8

Asymptotic Estimates for Second Order  Parameterized Singularly Perturbed  Problem

Asymptotic Estimates for Second Order Parameterized Singularly Perturbed Problem

... parameterized singularly perturbed second order nonli- near ordinary differential equation is ...and second derivatives have been ... See full document

6

Mid-knot cubic non-polynomial spline for a system of second-order boundary value problems

Mid-knot cubic non-polynomial spline for a system of second-order boundary value problems

... a cubic non-polynomial spline scheme at mid-knots of a uniform mesh for the problem ...a second-order accurate ...the numerical efficiency and the better performance over other ... See full document

16

Application of Parameter Expansion Method for Nonlinear Singularly Perturbed Boundary Value Problems (BVP’S) S. A. Egbetade, I. A. Salawu, S. A. Agboluaje

Application of Parameter Expansion Method for Nonlinear Singularly Perturbed Boundary Value Problems (BVP’S) S. A. Egbetade, I. A. Salawu, S. A. Agboluaje

... singularly perturbed problem to a system of ordinary differential equations for which the solutions are relatively easier to ...ordinary differential equations are reduced to ... See full document

5

Numerical solution of a singularly perturbed Volterra integro differential equation

Numerical solution of a singularly perturbed Volterra integro differential equation

... which is a Volterra integral equation of the second kind. The singularly perturbed nature of (.) occurs when the properties of the solution with ε >  are incompatible with those when ε = . The ... See full document

15

The stability of collocation methods for VIDEs of second order

The stability of collocation methods for VIDEs of second order

... the second-order Volterra integrodifferential equation (VIDE) by polynomial spline func- ...polynomial spline collocation method is stable if all eigenvalues of a matrix are in the unit disk ... See full document

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