scholarly journals Block Iterative Method for the Solution of Fractional Two-Point Boundary Value Problems

2019 ◽  
Vol 1358 ◽  
pp. 012053 ◽  
Author(s):  
Rostang Rahman ◽  
Nur Afza Mat Ali ◽  
Jumat Sulaiman ◽  
Fatihah Anas Muhiddin
Keyword(s):  
Iterative Method ◽  
Boundary Value Problems ◽  
Boundary Value ◽  
Point Boundary

scholarly journals ON THE SOLUTION OF TWO POINT BOUNDARY VALUE PROBLEMS WITH TWO POINT DIRECT METHOD

2012 ◽  
Vol 09 ◽  
pp. 566-573 ◽  
Author(s):  
PEI SEE PHANG ◽  
ZANARIAH ABDUL MAJID ◽  
MOHAMED SULEIMAN
Keyword(s):  
Approximate Solution ◽  
Iterative Method ◽  
Boundary Value Problems ◽  
Simple Form ◽  
Direct Method ◽  
Boundary Value ◽  
Numerical Results ◽  
Point Boundary ◽  
Step Size ◽  
Shooting Technique

The two point boundary value problems (BVPs) occur in a wide variety of applications especially in sciences such as chemistry and biology. In this paper, we propose two point direct method of order six for solving nonlinear two point boundary value problems directly. This method is presented in a simple form of Adams Mouton type and determines the approximate solution at two point simultaneously. The method will be implemented using constant step size via shooting technique adapted with three-step iterative method. Numerical results are given to compare the efficiency of the proposed method with the Runge-Kutta and bvp4c method.

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