Fuzzy transform to approximate solution of two-point boundary value problems

2016 ◽  
Vol 40 (17) ◽  
pp. 6147-6154 ◽  
Author(s):  
Alireza Khastan ◽  
Zahra Alijani ◽  
Irina Perfilieva
Keyword(s):  
Approximate Solution ◽  
Boundary Value Problems ◽  
Boundary Value ◽  
Point Boundary ◽  
Fuzzy Transform

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.

scholarly journals Existence of an approximate solution for a class of fractional multi-point boundary value problems with the derivative term

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Yanbin Sang ◽  
Luxuan He
Keyword(s):  
Fixed Point ◽  
Approximate Solution ◽  
Boundary Value Problems ◽  
Unique Solution ◽  
Fixed Point Theorems ◽  
Nonlinear Operator ◽  
Boundary Value ◽  
Point Boundary ◽  
Derivative Term ◽  
Fractional Boundary Value Problems

AbstractIn this paper, we consider a class of fractional boundary value problems with the derivative term and nonlinear operator term. By establishing new mixed monotone fixed point theorems, we prove these problems to have a unique solution, and we construct the corresponding iterative sequences to approximate the unique solution.

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