singularly perturbed
A diagonal preconditioner for singularly perturbed problems
... for singularly perturbed two-point boundary value problems, one can observe that condition numbers of arising stiffness matrices are growing with decreasing parameter when a nonsymmetric part starts to ...
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A class of singularly perturbed delayed boundary value problem in the critical case
... the singularly perturbed delayed boundary value problem in the critical case rarely ...now, singularly perturbed initial value problems in the critical case have been ...
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Singularly Perturbed Parabolic Differential Equations with Turning Point and Retarded Arguments
... independent of ε. In the special case when δ = η = 0, the above problem reduces to singularly perturbed parabolic differential equation. We are concerned with the related class of problems in which delay ...
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Asymptotic Behavior of Solutions of a Singularly Perturbed Differential System of Fractional Order
... in singularly perturbed equations and their application in the theory of phase transitions” by the Scientific Committee of the Ministry of Education and Science of the Republic of ...
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Integrodifferential Inequality for Stability of Singularly Perturbed Impulsive Delay Integrodifferential Equations
... Integrodifferential equations IDEs arise from many areas of science from physics, biology, medicine, etc., which have extensive scientific backgrounds and realistic mathematical models, and hence have been emerging as an ...
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On Gevrey asymptotics for linear singularly perturbed equations with linear fractional transforms
... a singularly perturbed PDE combined with small shift operator T k 0 , X(s, z, ) = X(s+k 0 , z, ), which has been studied in the literature in the field of ...
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Additive Fault Tolerant Control Applied to Delayed Singularly Perturbed System
... Delayed Singularly Perturbed System by Using Lambert-W Function,” Proceedings of 2010 7th In- ternational Multi-Conference on Systems Signals and De- vices (SSD), Amman, 27-30 June 2010, ...
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On inner expansions for a singularly perturbed Cauchy problem with confluent fuchsian singularities
... A nonlinear singularly perturbed Cauchy problem with confluent fuchsian singularities is examined. This problem involves coefficients with polynomial dependence in time. A similar initial value problem with ...
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Cauchy Problem of the Singularly Perturbed Sixth Order Boussinesq Type Equation
... [4] Feng, Z.S. (2003) Traveling Solitary Wave Solutions to the Generalized Boussinesq Equation. Wave Motion , 37, 17-23. https://doi.org/10.1016/S0165-2125(02)00019-7 [5] Song, C., Li, H. and Li, J. (2013) Initial ...
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Analysis of an Il’in Scheme for a System of Singularly Perturbed Convection Diffusion Equations
... sufficiently small values to bring out the singularly perturbed nature of the problem. The exact solution to the test problem is not available, so we estimate the accuracy of the numerical solution by ...
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Asymptotic Estimates for Second Order Parameterized Singularly Perturbed Problem
... The boundary value problem (BVP) for parameterized singularly perturbed second order nonli- near ordinary differential equation is considered. The boundary layer behavior of the solution and its first and ...
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Solving Singularly Perturbed Differential-Difference Equations using Special Finite Difference Method
... In El’sgol’ts [10], similar boundary value problems with solutions that show quick oscillations are considered. Kadalbajoo and Sharma [2],[3], Kadalbajoo and Ramesh [4] and Kadalbajoo and Kumar [5],[6] started a broad ...
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Method of Boundary Layer Function to Solve the Boundary Value Problem for a Singularly Perturbed Differential Equation of the Order Two with a Turning Point
... the singularly perturbed of second order differential equation in the case when unperturbed equation has the regular singular point,Issledovaniepointegro-diffentialuravneniam( i n Ruissian), Institute ...
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Robust Monotone Iterates for Nonlinear Singularly Perturbed Boundary Value Problems
... nonlinear singularly perturbed problems, the two major points to be developed are: i constructing robust difference schemes this means that unlike classical schemes, the error does not increase to infinity, ...
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Isogeometric analysis for singularly perturbed problems in 1-D: error estimates
... order singularly perturbed problems (SPPs) in one- dimension, of reaction-convection-diffusion type, whose solution contains boundary layers; see, ...typical singularly perturbed problem, such ...
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An Asymptotic Fitted Method for Solving Singularly Perturbed Delay Differential Equations
... of Singularly Perturbed Differential-Difference Equations with Small Shifts of Mixed Type by Differential Quadra- ture Method,” American Journal of Computational and Applied Mathematics, ...
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Wavelet Collocation Method for Solving Elliptic Singularly Perturbed Problem
... Wavelet collocation method is used to solve an elliptic singularly perturbed problem with two parameters. The B-spline function is used as a single mother wavelet, which leads to a tri-diagonal linear ...
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An Exponentially Fitted Method for Singularly Perturbed Delay Differential Equations
... This paper deals with singularly perturbed initial value problem for linear first-order delay differential equation. An exponentially fitted difference scheme is constructed in an equidistant mesh, which ...
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Numerical solution of a singularly perturbed Volterra integro differential equation
... of singularly perturbed integro-differential-algebraic equations and sin- gularly perturbed integro-differential systems has been solved by Kauthen [, ] by im- plicit Runge-Kutta ...a ...
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Systems of Singularly Perturbed Fractional Integral Equations II
... and references see O’Malley [19]-[20], Smith [26], Lager- strom [11], Kevorkian and Cole [9], Kauthen [8], Verhulst [29], Witelski and Bowen [28], and most recently Skinner [24] gave the analysis of the matched ...
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