Simulation and evaluation of second-order fuzzy boundary value problems

2018 ◽  
Vol 23 (20) ◽  
pp. 10463-10475 ◽  
Author(s):  
Mahmood Otadi
Keyword(s):  
Boundary Value Problems ◽  
Boundary Value ◽  
Second Order ◽  
Simulation And Evaluation ◽  
Fuzzy Boundary Value Problems ◽  
Fuzzy Boundary

scholarly journals On Solution of Two-Point Fuzzy Boundary Value Problems

2014 ◽  
Vol 11 ◽  
pp. 31-39 ◽  
Author(s):  
Hülya Gültekin ◽  
Nihat Altinişik
Keyword(s):  
Differential Equations ◽  
Boundary Value Problems ◽  
Existence And Uniqueness ◽  
Boundary Value ◽  
Sufficient Conditions ◽  
Second Order ◽  
Uniqueness Of Solutions ◽  
Fuzzy Boundary Value Problems ◽  
Fuzzy Boundary

In this paper, we investigate the existence and uniqueness of solutions of two-point fuzzy boundary value problems for second-order fuzzy differential equations. Some sufficient conditions are presented that guarantee the existence and uniqueness of solutions under the approach of Hukuhara differentiability.

Application of reproducing kernel algorithm for solving second-order, two-point fuzzy boundary value problems

2016 ◽  
Vol 21 (23) ◽  
pp. 7191-7206 ◽  
Author(s):  
Omar Abu Arqub ◽  
Mohammed Al-Smadi ◽  
Shaher Momani ◽  
Tasawar Hayat
Keyword(s):  
Boundary Value Problems ◽  
Reproducing Kernel ◽  
Boundary Value ◽  
Second Order ◽  
Fuzzy Boundary Value Problems ◽  
Fuzzy Boundary

scholarly journals Implementation of TAGE Method Using Seikkala Derivatives Applied to Two-Point Fuzzy Boundary Value Problems

2015 ◽  
Vol 2015 ◽  
pp. 1-7 ◽  
Author(s):  
A. A. Dahalan ◽  
J. Sulaiman
Keyword(s):  
Boundary Value Problems ◽  
Numerical Experiments ◽  
Boundary Value ◽  
Linear Equations ◽  
Alternating Group ◽  
System Of Linear Equations ◽  
Fuzzy Boundary Value Problems ◽  
Fuzzy Boundary ◽  
Two Parameter ◽  
Number Of Iterations

Iterative methods particularly the Two-Parameter Alternating Group Explicit (TAGE) methods are used to solve system of linear equations generated from the discretization of two-point fuzzy boundary value problems (FBVPs). The formulation and implementation of the TAGE method are also presented. Then numerical experiments are carried out onto two example problems to verify the effectiveness of the method. The results show that TAGE method is superior compared to GS method in the aspect of number of iterations, execution time, and Hausdorff distance.

scholarly journals The Collocation Method For Fourth Order Fuzzy Boundary Value Problems

2019 ◽  
Vol 21 (85) ◽  
pp. 1-10
Author(s):  
Rasha H.Ibraheem
Keyword(s):  
Differential Equation ◽  
Boundary Value Problems ◽  
Collocation Method ◽  
Fourth Order ◽  
Level Sets ◽  
Boundary Value ◽  
Method Of Solution ◽  
Α Level ◽  
Fuzzy Boundary Value Problems ◽  
Fuzzy Boundary

In this paper, the collocation method is considered to solve the nonhomogeneous  for fourth order fuzzy boundary value problems, In which the fuzziness appeared together in the boundary conditions and in the nonhomogeneous term of the differential equation. The method of solution depends on transforming the fuzzy problem to equivalent crisp problems using the concept of α-level sets.

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