Singularly Perturbed Ordinary Differential Equation with Turning Point and Interior Layer

Lobachevskii Journal of Mathematics ◽

10.1134/s1995080221120362 ◽

2021 ◽

Vol 42 (12) ◽

pp. 3016-3021

Author(s):

D. A. Tursunov ◽

Z. M. Sulaimanov ◽

A. A. Khalmatov

Keyword(s):

Differential Equation ◽

Ordinary Differential Equation ◽

Turning Point ◽

Singularly Perturbed ◽

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A Petrov-Galerkin method for a singularly perturbed ordinary differential equation with non-smooth data

Journal of Applied Mathematics and Computing ◽

10.1007/bf02896481 ◽

2006 ◽

Vol 22 (1-2) ◽

pp. 317-329

Author(s):

T. Zheng ◽

F. Liu

Keyword(s):

Differential Equation ◽

Ordinary Differential Equation ◽

Galerkin Method ◽

Singularly Perturbed ◽

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Existence of infinitely many connecting orbits in a singularly perturbed ordinary differential equation

Nonlinearity ◽

10.1088/0951-7715/9/5/009 ◽

1996 ◽

Vol 9 (5) ◽

pp. 1263-1280 ◽

Author(s):

Hiroshi Kokubu ◽

Konstantin Mischaikow ◽

Hiroe Oka

Keyword(s):

Differential Equation ◽

Ordinary Differential Equation ◽

Singularly Perturbed ◽

Connecting Orbits

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High-Order Method for a Singularly Perturbed Second-Order Ordinary Differential Equation with Discontinuous Source Term Subject to Mixed Type Boundary Conditions

Mathematical Modelling and Scientific Computation - Communications in Computer and Information Science ◽

10.1007/978-3-642-28926-2_38 ◽

2012 ◽

pp. 351-359 ◽

Author(s):

R. Mythili Priyadharshini ◽

N. Ramanujam

Keyword(s):

Differential Equation ◽

Ordinary Differential Equation ◽

Boundary Conditions ◽

Source Term ◽

Singularly Perturbed ◽

Order Method ◽

High Order Method ◽

Discontinuous Source Term ◽

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Composite Asymptotic Expansions to a Singularly Perturbed Linear Ordinary Differential Equation Near Turning Points

10.1109/icrami52622.2021.9585982 ◽

2021 ◽

Author(s):

Abdelali Makhfi

Keyword(s):

Differential Equation ◽

Ordinary Differential Equation ◽

Asymptotic Expansions ◽

Turning Points ◽

Linear Ordinary Differential Equation ◽

Singularly Perturbed

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Numerical integration of a singularly perturbed Cauchy problem for an ordinary differential equation

USSR Computational Mathematics and Mathematical Physics ◽

10.1016/0041-5553(85)90137-5 ◽

1985 ◽

Vol 25 (4) ◽

pp. 30-39 ◽

Author(s):

I.P. Boglayev

Keyword(s):

Differential Equation ◽

Ordinary Differential Equation ◽

Cauchy Problem ◽

Numerical Integration ◽

Singularly Perturbed

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Asymptotic expansion of the solution of the initial value problem for a singularly perturbed ordinary differential equation

Differential Equations ◽

10.1134/s0012266108020171 ◽

2008 ◽

Vol 44 (2) ◽

pp. 282-285

Author(s):

O. Yu. Khachay

Keyword(s):

Differential Equation ◽

Ordinary Differential Equation ◽

Asymptotic Expansion ◽

Initial Value Problem ◽

Singularly Perturbed ◽

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A uniformly convergent second order difference scheme for a singularly perturbed self-adjoint ordinary differential equation in conservation form

Applied Mathematics and Mechanics ◽

10.1007/bf02014617 ◽

1989 ◽

Vol 10 (3) ◽

pp. 231-241 ◽

Author(s):

Guo Wen ◽

Lin Peng-cheng

Keyword(s):

Differential Equation ◽

Ordinary Differential Equation ◽

Difference Scheme ◽

Second Order ◽

Singularly Perturbed ◽

Order Difference ◽

Uniformly Convergent

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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

Universal Journal of Applied Mathematics ◽

10.13189/ujam.2014.020301 ◽

2014 ◽

Vol 2 (3) ◽

pp. 119-124

Author(s):

Keldibay Alymkulov

Keyword(s):

Differential Equation ◽

Boundary Layer ◽

Boundary Value Problem ◽

Turning Point ◽

Boundary Value ◽

Singularly Perturbed ◽

Layer Function ◽

Boundary Layer Function ◽

Singularly Perturbed Differential Equation ◽

Perturbed Differential Equation

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Asymptotic Solutions of a Linear Ordinary Differential Equation of nth Order about a Simple Turning Point

International Symposium on Nonlinear Differential Equations and Nonlinear Mechanics ◽

10.1016/b978-0-12-395651-4.50052-0 ◽

1963 ◽

pp. 485-488 ◽

Author(s):

YASUTAKA SIBUYA

Keyword(s):

Differential Equation ◽

Ordinary Differential Equation ◽

Turning Point ◽

Linear Ordinary Differential Equation ◽

Asymptotic Solutions

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Uniform asymptotic solutiion for a linear ordinary differential equation with one μ-th order turning point: Analytic theory

Communications on Pure and Applied Mathematics ◽

10.1002/cpa.3160290402 ◽

1976 ◽

Vol 29 (4) ◽

pp. 343-367 ◽

Author(s):

B. Willner ◽

L. A. Rubenfeld

Keyword(s):

Differential Equation ◽

Ordinary Differential Equation ◽

Turning Point ◽

Linear Ordinary Differential Equation ◽

Analytic Theory

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