Singularly Perturbed Boundary Value Problem
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- ...
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Delayed phenomenon of loss of stability of solutions in a second-order quasi-linear singularly perturbed boundary value problem with a turning point
... However, there are many practical situations in which the normal hyperbolicity of the reduced solutions lose. That is, in geometrical speaking, there exist turning points on the critical curve. The existence of turning ...
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THIN FILM ROUGHNESS OPTIMIZATION IN THE TIN COATINGS USING GENETIC ALGORITHMS
... the boundary value problem for ordinary simple differential equations of the third order with small parameter at the higher derivatives is ...the singularly perturbed boundary ...
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A parameter uniform difference scheme for the parameterized singularly perturbed problem with integral boundary condition
... the singularly perturbed boundary value problem containing both control parameter and integral condition is first being ...type boundary conditions for equation ...integral ...
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Exponential Spline Solution for Singularly Perturbed Boundary Value Problems with an Uncertain—But—Bounded Parameter
... DOI: 10.4236/jamp.2018.64073 856 Journal of Applied Mathematics and Physics the random parameter, then a unique solution is defined by carrying out the de- terministic solver for each of these realizations. In 1967, ...
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Uniform Second Order Difference Method for a Singularly Perturbed Three Point Boundary Value Problem
... called singularly perturbed differential ...for singularly perturbed ...parameter value ε; that is, methods that are convergence ε-uniformly ...the problem data, and the number of ...
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A class of singularly perturbed delayed boundary value problem in the critical case
... fore boundary value problems for semiconductor equations with higher derivative terms can be regarded as singular perturbation problems with small ...the boundary layer function method, the princi- ...
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Switching Mode Amplifier for High Voltage Piezo Actuator
... a singularly perturbed three-point boundary value ...multi-point boundary value ...nonlinear singularly perturbed multi- point boundary value ...
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Robust Monotone Iterates for Nonlinear Singularly Perturbed Boundary Value Problems
... The structure of the paper is as follows. In Section 2, we prove that the classical difference scheme on the piecewise uniform mesh converges μ-uniformly to the solution of problem 1.1. A robust monotone iterative ...
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B Spline Collocation Method for Solving Singularly Perturbed Boundary Value Problems
... y a = A y b = B y a ′ = γ y b ′ = δ (2) where 0 < < ε 1 , ε is a small positive parameter, p x ( ) and q x ( ) are sufficiently smooth real-valued functions. Typically, these problems arise very frequently in fluid ...
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Singularly perturbed second order semilinear boundary value problems with interface conditions
... the singularly perturbed interface boundary value problem ...of boundary functions (see [, ], for example) and the lemma of lower-upper solutions we obtain the existence, ...
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Singularly perturbed semilinear elliptic boundary value problems with discontinuous source term
... mixed singularly perturbed parabolic-elliptic problem with discon- tinuous coefficients, which describes an electromagnetic field arising in the motion of a train on an ...of singularly per- ...
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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 ...the perturbed collocation method described in ...the ...
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Isogeometric analysis for singularly perturbed problems in 1-D: error estimates
... the boundary value problem (BVP) given by ...the boundary layer effect is one dimensional (in the direction normal to the boundary) and B-splines in two-dimensions are constructed via ...
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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 equations is modified by approximating the term ...
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Approximate Solution of the Singular Perturbation Problem on Chebyshev Gauss Grid
... The boundary-value problems for singularly perturbed delay-differential equations arise in various practical problems in biomechanics and physics such as in varia- tional problem in ...
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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 nonsymmetric ...
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A singularly perturbed linear two point boundary value problem
... 28, we can use the asymptotic expansion of the solution of the special boundary-value problem to state sufficient conditions for the.. ence of a unique solution of the geaeral boundary- [r] ...
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Numerical Solution of Singularly Perturbed Two Point Boundary Value Problem via Liouville Green Transform
... called boundary-value technique, has been introduced by Roberts [12-14] to solve certain classes of singular perturbation ...for boundary value problems ...order singularly ...
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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
... of boundary layer function is at labor-intensive than method structural ...all singularly perturbed equations and one allow foresee for what small parameter the solution of singular perturbed ...
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