[PDF] Top 20 A solution decomposition for a singularly perturbed fourth-order problem
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A solution decomposition for a singularly perturbed fourth-order problem
... proper solution decomposition into an interior part (arising from solutions of third-order problems) and layer parts is the method of asymptotic ...reduced problem, where formally ε is set to ... See full document
22
Singularly perturbed second order semilinear boundary value problems with interface conditions
... of singularly perturbed interface boundary value problems with discontinuous source ...the solution with boundary and interior layers for the proposed ... See full document
16
A Numerical Method for Nonlinear Singularly Perturbed Multi Point Boundary Value Problem
... numerical solution of the problem ...the problem (1)-(3) are ...numerical solution (1)-(3) is presented in Section 3 and in Sec- tion ...nonlinear singularly perturbed ... See full document
14
Regularized Asymptotics of Solutions for Systems of Singularly Perturbed Differential Equations of Fractional Order
... initial problem for systems of differential equations of fractional order with a small parameter for the ...Regularization problem is produced, and algorithm for normal and unique solubility of ... See full document
8
A singularly perturbed semilinear reaction-diffusion problem in a polygonal domain
... components of the asymptotic expansion are given. We shall use these estimates in a forthcoming paper to derive a robust numerical method and establish its ε-uniform accuracy. Similar results have been obtained by Fife ... See full document
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A class of singularly perturbed delayed boundary value problem in the critical case
... proximate solution of the systems in the natural sciences and ...approximate solution problems, including organic compounds reaction, neural networks [], polymer rheology [], and so on were ...the ... See full document
21
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
... a solution of a singularly perturbed linear equations with small parameter in higher derivatives(equations of Prandtl-Tikhonov type, shortly P-T type) was constructed ... See full document
6
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, Vol. 136, No. 1, ... See full document
5
Fourth-order stable central difference with Richardson extrapolation method for second-order self-adjoint singularly perturbed boundary value problems
... tenth) order compact finite difference method to solve singularly perturbed reaction-diffusion ...higher order compact finite difference methods for the constant coefficients of diffusion and ... See full document
14
Parameter uniform numerical method for a singularly perturbed boundary value problem for a linear system of parabolic second order delay differential equations
... the solution of these problems exhibit propagat- ing discontinuities depending on the nature of the ...of singularly perturbed delay differential equations were studied through asymptotic analysis ... See full document
14
On Step-Like Contrast Structure of Singularly Perturbed Systems
... on solution, is our first try to construct a desired heteroclinic orbit in high-dimensional phase ...layer solution in a high-dimensional singular perturbation boundary value problem of ordinary ... See full document
17
Uniform Difference Scheme on the Singularly Perturbed System
... Differential equations with a small parameter mul- tiplying the highest order derivative terms are said to be singularly perturbed and normally boundary layers occur in their solutions. The ... See full document
7
Monotone finite difference domain decomposition algorithms and applications to nonlinear singularly perturbed reaction diffusion problems
... nonlinear singularly perturbed problems by the finite difference method, the corresponding discrete problem is usually formulated as a system of non- linear algebraic ...lower solution ... See full document
38
A Parameter-Uniform Essentially First Order Convergent Fitted Mesh Method for a Singularly Perturbed Robin Problem
... the singularly perturbed Robin problem for the general nonlinear second-order ordinary differential equation with a small parameter 𝜀 > 0 is discussed, by taking the study of radially ... See full document
14
A parameter uniform difference scheme for the parameterized singularly perturbed problem with integral boundary condition
... numerical solution of the singularly perturbed boundary value problem containing both control parameter and integral condition is first being ...numerical solution of such problems, a ... See full document
12
Nonlocal Four-Point Boundary Value Problem for the Singularly Perturbed Semilinear Differential Equations
... the singularly perturbed second-order nonlinear differential ...second- order ordinary differential equation subject to a nonlocal four-point boundary ...the solution of reduced ... See full document
9
Exponential Spline Solution for Singularly Perturbed Boundary Value Problems with an Uncertain—But—Bounded Parameter
... numerical solution of singularly perturbed boundary value problems, using finite element method ...self-adjoint singularly perturbed two-point boundary value ...numerical ... See full document
10
ASYMPTOTIC EXPANSION OF A SOLUTION FOR ONE SINGULARLY PERTURBED OPTIMAL CONTROL PROBLEM IN \(\mathbb{R}^n\) WITH A CONVEX INTEGRAL QUALITY INDEX
... the asymptotic series. The coefficients of this series can be found via the standard procedure: substituting the series into the equation (3.7), expanding values dependent on ε into asymptotic series in power of ε, and ... See full document
8
A high order finite difference scheme for a singularly perturbed reaction diffusion problem with an interior layer
... a singularly perturbed reaction-diffusion problem with a discontinuous source ...the solution. The problem is discretized by using a hybrid finite difference scheme on a Shishkin-type ... See full document
14
A spline method for solving fourth order singularly perturbed boundary value problem
... In this problem, we take p ( x ) = p = constant and q ( x ) = q = constant. In the present paper, parametric septic spline is described for fourth order boundary value problems. In section 2, a brief ... See full document
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