Some modifications of the shooting method for solving non-linear two-point boundary value problems

1984 ◽  
Vol 24 (2) ◽  
pp. 109-116
Author(s):  
V.F. Gaiduk
Keyword(s):  
Boundary Value Problems ◽  
Shooting Method ◽  
Boundary Value ◽  
Point Boundary ◽  
Non Linear

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.

A Reliable Treatment for Solving Nonlinear Two-Point Boundary Value Problems

2007 ◽  
Vol 62 (9) ◽  
pp. 483-489
Author(s):  
Mustafa Inc
Keyword(s):  
Boundary Value Problems ◽  
Numerical Experiments ◽  
Decomposition Method ◽  
Shooting Method ◽  
Boundary Value ◽  
Adomian Decomposition Method ◽  
Point Boundary ◽  
Adomian Decomposition

In this paper, we study the modified decomposition method (MDM) for solving nonlinear twopoint boundary value problems (BVPs) and show numerical experiments. The modified form of the Adomian decomposition method which is more fast and accurate than the standard decomposition method (SDM) was introduced by Wazwaz. In addition, we will compare the performance of the MDM and the new nonlinear shooting method applied to the solutions of nonlinear two-point BVPs. The comparison shows that the MDM is reliable, efficient and easy for solving the nonlinear twopoint BVPs.

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