Efficient higher order implicit one-step methods for integration of stiff differential equations

W. M. G. van Bokhoven

doi:10.1007/bf01933583

Efficient higher order implicit one-step methods for integration of stiff differential equations

BIT Numerical Mathematics ◽

10.1007/bf01933583 ◽

1980 ◽

Vol 20 (1) ◽

pp. 34-43 ◽

Cited By ~ 22

Author(s):

W. M. G. van Bokhoven

Keyword(s):

Differential Equations ◽

Higher Order ◽

Stiff Differential Equations ◽

One Step

Consistency and Stability for One-Step Discretizations of Stiff Differential Equations

Stiff Differential Systems ◽

10.1007/978-1-4684-2100-2_20 ◽

1974 ◽

pp. 259-270 ◽

Cited By ~ 1

Author(s):

M. van Veldhuizen

Keyword(s):

Differential Equations ◽

Stiff Differential Equations ◽

One Step

One-Step, Sixth-Order Numerical Method via Pade Approximants for the Solutions of Stiff Differential Equations

American Journal of Computational and Applied Mathematics ◽

10.5923/j.ajcam.20120202.02 ◽

2012 ◽

Vol 2 (2) ◽

pp. 10-13

Author(s):

Umar Ahmad Egbako ◽

Kayode R. Adeboye

Keyword(s):

Differential Equations ◽

Numerical Method ◽

Padé Approximants ◽

Sixth Order ◽

Stiff Differential Equations ◽

Pade Approximants ◽

One Step

The Construction of Implicit One-step Block Hybrid Methods with Multiple Off-grid Points for the Solution of Stiff Differential Equations

Journal of Scientific Research and Reports ◽

10.9734/jsrr/2017/36187 ◽

2017 ◽

Vol 16 (1) ◽

pp. 1-7

Author(s):

Y Skwame ◽

J Sabo ◽

T Kyagya

Keyword(s):

Differential Equations ◽

Hybrid Methods ◽

Stiff Differential Equations ◽

One Step ◽

Grid Points

Implicit One-Step Legendre Polynomial Hybrid Block Method for the Solution of First-Order Stiff Differential Equations

British Journal of Mathematics & Computer Science ◽

10.9734/bjmcs/2015/16252 ◽

2015 ◽

Vol 8 (6) ◽

pp. 482-491

Author(s):

J. Sunday ◽

Y. Skwame ◽

I. Huoma

Keyword(s):

Differential Equations ◽

Legendre Polynomial ◽

Stiff Differential Equations ◽

Block Method ◽

First Order ◽

One Step

Applications of generalized RKM method for solving Classes of higher-order partial and ordinary differential equations

10.33329/aus.2019.n26.4.33 ◽

2019 ◽

Vol 26 (4) ◽

pp. 232-240

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Higher Order

Discussion on: Transfer Functions and Statistical Analysis of FDLCP Systems Described by Higher-order Differential Equations

European Journal of Control ◽

10.3166/ejc.12.574-576 ◽

2006 ◽

Vol 12 (5) ◽

pp. 574-576

Author(s):

Tomomichi Hagiwara

Keyword(s):

Statistical Analysis ◽

Differential Equations ◽

Transfer Functions ◽

Higher Order ◽

Higher Order Differential Equations

On a problem in complex oscillation theory of periodic higher order linear differential equations

Acta Mathematica Scientia ◽

10.1016/s0252-9602(10)60125-7 ◽

2010 ◽

Vol 30 (4) ◽

pp. 1291-1300 ◽

Cited By ~ 1

Author(s):

Xiao Lipeng ◽

Chen Zongxuan

Keyword(s):

Differential Equations ◽

Oscillation Theory ◽

Higher Order ◽

Linear Differential Equations ◽

Order Linear ◽

Complex Oscillation ◽

Linear Differential

On Oscillatory and Asymptotic Behavior of Higher Order Neutral Differential Equations with Impulsive Conditions

International Journal of Applied and Computational Mathematics ◽

10.1007/s40819-021-01092-5 ◽

2021 ◽

Vol 7 (4) ◽

Author(s):

A. Raheem ◽

A. Afreen ◽

A. Khatoon

Keyword(s):

Asymptotic Behavior ◽

Differential Equations ◽

Higher Order ◽

Impulsive Conditions ◽

Neutral Differential Equations

The non-uniqueness of solution for initial value problem of impulsive differential equations involving higher order Katugampola fractional derivative

Advances in Difference Equations ◽

10.1186/s13662-020-2536-z ◽

2020 ◽

Vol 2020 (1) ◽

Author(s):

Xian-Min Zhang

Keyword(s):

Differential Equations ◽

Fractional Derivative ◽

Initial Value Problem ◽

Impulsive Differential Equations ◽

Higher Order ◽

Uniqueness Of Solution ◽

Initial Value

The weighted Cauchy problem for linear functional differential equations with strong singularities

Georgian Mathematical Journal ◽

10.1515/gmj.2011.0034 ◽

2011 ◽

Vol 18 (3) ◽

pp. 577-586

Author(s):

Zaza Sokhadze

Keyword(s):

Cauchy Problem ◽

Differential Equations ◽

Linear Functional ◽

Functional Differential Equations ◽

Sufficient Conditions ◽

Initial Point ◽

Higher Order ◽

Well Posedness ◽

Deviating Arguments ◽

Functional Differential

Abstract The sufficient conditions of well-posedness of the weighted Cauchy problem for higher order linear functional differential equations with deviating arguments, whose coefficients have nonintegrable singularities at the initial point, are found.