scholarly journals A 5(4) Embedded Pair of Explicit Trigonometrically-Fitted Runge–Kutta–Nyström Methods for the Numerical Solution of Oscillatory Initial Value Problems

2016 ◽  
Vol 21 (4) ◽  
pp. 46 ◽  
Author(s):  
Musa Demba ◽  
Norazak Senu ◽  
Fudziah Ismail
Keyword(s):  
Numerical Solution ◽  
Initial Value Problems ◽  
Initial Value ◽  
Nyström Methods ◽  
Oscillatory Initial Value Problems ◽  
Runge Kutta

scholarly journals Implicit Methods for Numerical Solution of Singular Initial Value Problems

2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Md. Rahaman Habibur ◽  
M. Kamrul Hasan ◽  
Md. Ayub Ali ◽  
M. Shamsul Alam
Keyword(s):  
Singular Point ◽  
Numerical Solution ◽  
Initial Value Problems ◽  
Accurate Result ◽  
Implicit Method ◽  
Implicit Methods ◽  
Initial Value ◽  
Runge Kutta

AbstractVarious order of implicit method has been formulated for solving initial value problems having an initial singular point. The method provides better result than those obtained by used implicit formulae developed based on Euler and Runge-Kutta methods. Romberg scheme has been used for obtaining more accurate result.

Some Symmetric Linear Four-Step Methods for the Numerical Solution of Oscillatory Initial Value Problems

2011 ◽  
Author(s):  
Z. A. Anastassi ◽  
T. E. Simos ◽  
Theodore E. Simos ◽  
George Psihoyios ◽  
Ch. Tsitouras ◽  
...  
Keyword(s):  
Numerical Solution ◽  
Initial Value Problems ◽  
Initial Value ◽  
Oscillatory Initial Value Problems
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