Combining the Shooting Method with an Operational Matrix Method to Solve Two Point Boundary Value Problems

2021 ◽  
Vol 7 (2) ◽  
Author(s):  
Kshama Sagar Sahu ◽  
Mahendra Kumar Jena
Keyword(s):  
Boundary Value Problems ◽  
Matrix Method ◽  
Shooting Method ◽  
Boundary Value ◽  
Operational Matrix ◽  
Point Boundary ◽  
Operational Matrix Method

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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