Note on a family of economical sixth order finite difference methods for non-linear 2-point boundary value problems

1978 ◽  
Vol 18 (4) ◽  
pp. 497-499
Author(s):  
T. R. Hopkins
Keyword(s):  
Finite Difference ◽  
Boundary Value Problems ◽  
Boundary Value ◽  
Finite Difference Methods ◽  
Sixth Order ◽  
Point Boundary ◽  
Non Linear ◽  
Difference Methods

scholarly journals ON SHOOTING AND FINITE DIFFERENCE METHODS FOR NON-LINEAR TWO POINT BOUNDARY VALUE PROBLEMS

2018 ◽  
Vol 6 (1) ◽  
pp. 23-35
Author(s):  
Ibrahim I. O. ◽  
Markus S.
Keyword(s):  
Finite Difference ◽  
Boundary Value Problems ◽  
Shooting Method ◽  
Dirichlet Boundary ◽  
Boundary Value ◽  
Finite Difference Methods ◽  
Dirichlet Boundary Conditions ◽  
Point Boundary ◽  
Non Linear ◽  
Difference Methods

The paper investigates the efficacy of non-linear two point boundary value problems via shooting and finite difference methods. It was observed that the shooting method provides better result as when compared to the finite difference methods with dirichlet boundary conditions. It was observed that the accuracy of the shooting method is dependent upon the integrator adopted.

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