Optimal Mesh Size in the Numerical Integration of an Ordinary Differential Equation

D. Morrison

doi:10.1145/321105.321115

Optimal Mesh Size in the Numerical Integration of an Ordinary Differential Equation

Journal of the ACM ◽

10.1145/321105.321115 ◽

1962 ◽

Vol 9 (1) ◽

pp. 98-103 ◽

Cited By ~ 17

Author(s):

D. Morrison

Keyword(s):

Differential Equation ◽

Ordinary Differential Equation ◽

Numerical Integration ◽

Mesh Size ◽

Optimal Mesh

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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 ◽

Cited By ~ 1

Author(s):

I.P. Boglayev

Keyword(s):

Differential Equation ◽

Ordinary Differential Equation ◽

Cauchy Problem ◽

Numerical Integration ◽

Singularly Perturbed

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Ordinary Differential Equation Models: Numerical Integration of Initial-Value Problems

Concise Encyclopedia of Modelling & Simulation ◽

10.1016/b978-0-08-036201-4.50118-1 ◽

1992 ◽

pp. 313-317

Author(s):

F.E. Cellier

Keyword(s):

Differential Equation ◽

Ordinary Differential Equation ◽

Numerical Integration ◽

Initial Value Problems ◽

Initial Value ◽

Differential Equation Models

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Construction of an extended invariant for an arbitrary ordinary differential equation with its development in a numerical integration algorithm

Physical Review E ◽

10.1103/physreve.73.026703 ◽

2006 ◽

Vol 73 (2) ◽

Cited By ~ 15

Author(s):

Ikuo Fukuda ◽

Haruki Nakamura

Keyword(s):

Differential Equation ◽

Ordinary Differential Equation ◽

Numerical Integration ◽

Integration Algorithm

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Two-step rational cononical function in the numerical integration of initial value problems in ordinary differential equation

Global Journal of Mathematical Sciences ◽

10.4314/gjmas.v2i1.21325 ◽

2004 ◽

Vol 2 (1) ◽

Author(s):

M. R. Odekunle

Keyword(s):

Differential Equation ◽

Ordinary Differential Equation ◽

Numerical Integration ◽

Initial Value Problems ◽

Initial Value

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On the convergence, consistency and stability of a one-step method for numerical integration of ordinary differential equation

International Journal of Computer Mathematics ◽

10.1080/00207169908804894 ◽

1999 ◽

Vol 73 (2) ◽

pp. 261-277 ◽

Cited By ~ 2

Author(s):

E.A. Ibijola ◽

P. Kama

Keyword(s):

Differential Equation ◽

Ordinary Differential Equation ◽

Numerical Integration ◽

Step Method ◽

One Step

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SINGULAR PERTURBATION OF BOUNDARY VALUE PROBLEM FOR QUASILINEAR HIGHER ORDINARY DIFFERENTIAL EQUATION

Acta Mathematica Scientia ◽

10.1016/s0252-9602(18)30277-7 ◽

1992 ◽

Vol 12 (1) ◽

pp. 98-112

Author(s):

Zongchi Lin ◽

Surong Lin

Keyword(s):

Differential Equation ◽

Ordinary Differential Equation ◽

Singular Perturbation ◽

Boundary Value Problem ◽

Boundary Value

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Estimation of the number of failures in the Weibull model using the ordinary differential equation

European Journal of Operational Research ◽

10.1016/j.ejor.2012.07.011 ◽

2012 ◽

Vol 223 (3) ◽

pp. 722-731 ◽

Cited By ~ 2

Author(s):

Hideo Hirose

Keyword(s):

Differential Equation ◽

Ordinary Differential Equation ◽

Weibull Model

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On the boundedness of solution of the first order ordinary differential equation with involution

10.1063/5.0040392 ◽

2021 ◽

Author(s):

Allaberen Ashyralyev ◽

Twana Abbas

Keyword(s):

Differential Equation ◽

Ordinary Differential Equation ◽

Order Ordinary Differential Equation ◽

First Order ◽

Boundedness Of Solution

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Stiff ordinary differential equation test problems

ACM SIGNUM Newsletter ◽

10.1145/1052646.1052650 ◽

1973 ◽

Vol 8 (4) ◽

pp. 10-12

Author(s):

A. R. Curtis

Keyword(s):

Differential Equation ◽

Ordinary Differential Equation ◽

Test Problems

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Solution of a fractional logistic ordinary differential equation

Applied Mathematics Letters ◽

10.1016/j.aml.2021.107568 ◽

2021 ◽

pp. 107568

Author(s):

Juan J. Nieto

Keyword(s):

Differential Equation ◽

Ordinary Differential Equation

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