Numerical solution of quasilinear singularly perturbed ordinary differential equation without turning points

Applied Mathematics and Mechanics ◽

10.1007/bf02014547 ◽

1989 ◽

Vol 10 (11) ◽

pp. 1005-1010 ◽

Author(s):

Lin Ping ◽

Su Yu-cheng

Keyword(s):

Differential Equation ◽

Ordinary Differential Equation ◽

Numerical Solution ◽

Turning Points ◽

Singularly Perturbed

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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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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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Asymptotics of eigenvalues of the first boundary-value problem for singularly perturbed second-order differential equation with turning points

Automatic Control and Computer Sciences ◽

10.3103/s0146411616070105 ◽

2016 ◽

Vol 50 (7) ◽

pp. 636-656 ◽

Author(s):

S. A. Kaschenko

Keyword(s):

Differential Equation ◽

Boundary Value Problem ◽

Order Differential Equation ◽

Boundary Value ◽

Turning Points ◽

Second Order ◽

Singularly Perturbed ◽

Asymptotics Of Eigenvalues ◽

Second Order Differential Equation

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Asymptotic Expansions of Eigenvalues of Periodic and Antiperiodic Boundary Problems for Singularly Perturbed Second Order Diﬀerential Equation with Turning Points

Modeling and Analysis of Information Systems ◽

10.18255/1818-1015-2016-1-61-85 ◽

2016 ◽

Vol 23 (1) ◽

pp. 61-85

Author(s):

S. A. Kashchenko

Keyword(s):

Differential Equation ◽

Asymptotic Expansions ◽

Order Differential Equation ◽

Turning Points ◽

Second Order ◽

Singularly Perturbed ◽

Boundary Problems ◽

Second Order Differential Equation

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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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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 COMPARITIVE STUDY ON NUMERICAL SOLUTION OF LAGRANGE AND CUBIC HERMITE INTERPOLATION WITH SINGLE STEP AND MULTISTEP METHOD USING FIRST ORDER ORDINARY DIFFERENTIAL EQUATION

Journal of Xidian University ◽

10.37896/jxu14.5/232 ◽

2020 ◽

Vol 14 (5) ◽

Keyword(s):

Differential Equation ◽

Ordinary Differential Equation ◽

Numerical Solution ◽

Hermite Interpolation ◽

Single Step ◽

Multistep Method ◽

Order Ordinary Differential Equation ◽

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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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