scholarly journals Numerical Initial Value Problems in Ordinary Differential Equations

1972 ◽  
Vol 15 (2) ◽  
pp. 155-155
Author(s):  
J. M. Watt
Keyword(s):  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Initial Value Problems ◽  
Initial Value

A Multiple Interval Chebyshev-Gauss-Lobatto Collocation Method for Ordinary Differential Equations

2016 ◽  
Vol 9 (4) ◽  
pp. 619-639 ◽  
Author(s):  
Zhong-Qing Wang ◽  
Jun Mu
Keyword(s):  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Collocation Method ◽  
Initial Value Problems ◽  
Numerical Experiments ◽  
High Order Accuracy ◽  
Nonlinear Ordinary Differential Equations ◽  
Initial Value ◽  
Order Accuracy ◽  
Long Time

AbstractWe introduce a multiple interval Chebyshev-Gauss-Lobatto spectral collocation method for the initial value problems of the nonlinear ordinary differential equations (ODES). This method is easy to implement and possesses the high order accuracy. In addition, it is very stable and suitable for long time calculations. We also obtain thehp-version bound on the numerical error of the multiple interval collocation method underH1-norm. Numerical experiments confirm the theoretical expectations.

scholarly journals Review of Some Numerical Methods for Solving Initial Value Problems for Ordinary Differential Equations

2020 ◽  
Vol 6 (1) ◽  
pp. 7
Author(s):  
Fadugba Sunday Emmanuel ◽  
Adebayo Kayode James ◽  
Ogunyebi Segun Nathaniel ◽  
Okunlola Joseph Temitayo
Keyword(s):  
Numerical Methods ◽  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Initial Value Problems ◽  
Initial Value
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