[PDF] Top 20 An Exponentially Fitted Method for Singularly Perturbed Delay Differential Equations
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An Exponentially Fitted Method for Singularly Perturbed Delay Differential Equations
... differential equations play an important role in the mathematical modelling of various practical phenomena in the biosciences and control ...A singularly perturbed delay differential equation is ... See full document
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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 ...the delay term that ... See full document
14
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, ... See full document
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Solving Singularly Perturbed Differential-Difference Equations using Special Finite Difference Method
... A differential equation in which the highest derivative is multiplied by a small positive parameter and containing at least one shift term(delay or advance) is known as singularly perturbed ... See full document
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A method based on the meshless approach for singularly perturbed differential-difference equations with Boundary layers
... suggested exponentially distributed grid ...polation method was developed in 1968 by Iowa State University Geodesist Roland Hardy who described and named the method in a paper [7] that appeared in ... See full document
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Approximate Solution of the Singular Perturbation Problem on Chebyshev Gauss Grid
... Many differential models of sciences and engineers for which the existing method- ologies do not give reliable results, these methods are solving them ...second-order singularly-perturbed ... See full document
10
A review on singular perturbed delay differential equations
... computational method to solve these equations with negative shift whose solution has boundary ...singular perturbed problems are difficult to apply as it is not easy to find appropriate asymptotic ... See full document
6
A Parameter-Uniform Essentially First Order Convergent Fitted Mesh Method for a Singularly Perturbed Robin Problem
... of singularly perturbed second order ordinary differential equations of reaction-diffusion type with Robin boundary conditions is ...numerical method for solving this ...this ... See full document
14
Uniformly convergent schemes for singularly perturbed differential equations based on collocation methods
... which implies that the collocation method is not uniformly convergent. It is also known that the numerical inaccuracies which appear in the boundary layer do not disappear with a mesh refinement. As reported in the ... See full document
9
A fitted numerical scheme for second order singularly perturbed delay differential equations via cubic spline in compression
... an exponentially fitted finite difference scheme to solve singularly perturbed delay differential equation of second order with large ...The method is based on cubic spline in ...present ... See full document
14
A Parameter Robust Method for Singularly Perturbed Delay Differential Equations
... of singularly perturbed quasilinear initial value problem for delay differential ...numerical method is constructed for this problem which involves the appropriate Bakhvalov meshes on each time ... See full document
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An Asymptotic Fitted Method for Solving Singularly Perturbed Delay Differential Equations
... asymptotic-fitted method to solve singularly perturbed delay differential equations of second order with left and right ...the singularly perturbed ... See full document
8
Singularly Perturbed Parabolic Differential Equations with Turning Point and Retarded Arguments
... numerical method is developed in which the order of convergence and the error constant are independent of the parameter ε, ...a fitted mesh finite difference scheme which utilizes special piecewise uniform ... See full document
6
An exponentially convergent Volterra-Fredholm method for integro-differential equations
... cal method that converges exponentially in the dimension N of the discrete numerical method, but also an explicit error analysis that is implementable and yields errors in terms of only the computed ... See full document
12
Parameter uniform numerical method for a system of two coupled singularly perturbed parabolic convection diffusion equations
... In this paper, we will use some techniques developed in [18] to devise a uniformly con- vergent numerical scheme for (1) under the restriction that A is a diagonal matrix, which is also first-order accurate both in time ... See full document
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I. INTRODUCTION HERE has been a great interest in the research of new
... hybrid method NSIHM3(4) and the trigonometrically fitted version of the method TF-NSIHM3(4) are used to solve a set of DDE test ...the delay term that is 𝑦 𝑡 − 𝜏 ... See full document
6
Differential Transform Method for Some Delay Differential Equations
... the differential transform method (DTM) to solve some delay differen- tial equations ...the method of steps for DDEs and using the computer algebra sys- tem Mathematica, we successfully ... See full document
9
Singularly perturbed Volterra integral equations with weakly singular kernels
... exponentially large as |z| → ∞ for | arg z| < πµ/ 2. As arg z crosses the Stokes lines arg z = ±πµ , the exponential term disappears from the leading order term and be- comes subdominant. It reemerges as arg z ... See full document
15
A second-order overlapping Schwarz method for a 2D singularly perturbed semilinear reaction-diffusion problem
... invokes a boundary-layer subdomain and an interior subdomain, the narrow subdomain overlap being of width O(ε | lnh | ), where h is the maximum side length of mesh elements, and the global number of mesh nodes does not ... See full document
25
The method of averaging and functional differential equations with delay
... Abstract. We present a natural extension of the method of averaging to fast oscillating functional differential equations with delay. Unlike the usual approach where the analysis is kept in an ... See full document
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