Dynamical control of computations using the finite differences method to solve fuzzy boundary value problem

2019 ◽  
Vol 36 (2) ◽  
pp. 1785-1796
Author(s):  
Hasan Barzegar Kelishami ◽  
Mohammad Ali Fariborzi Araghi ◽  
Tofigh Allahviranloo
Keyword(s):  
Boundary Value Problem ◽  
Finite Differences ◽  
Boundary Value ◽  
Finite Differences Method ◽  
Dynamical Control ◽  
Fuzzy Boundary

scholarly journals Important Notes for a Fuzzy Boundary Value Problem

2019 ◽  
Vol 4 (2) ◽  
pp. 305-314 ◽  
Author(s):  
Hülya Gültekin Çitil
Keyword(s):  
Boundary Condition ◽  
Boundary Value Problem ◽  
Integral Equations ◽  
Boundary Value ◽  
Liouville Problem ◽  
Eigenvalue Parameter ◽  
Sturm Liouville ◽  
Fuzzy Boundary

AbstractIn this paper is studied a fuzzy Sturm-Liouville problem with the eigenvalue parameter in the boundary condition. Important notes are given for the problem. Integral equations are found of the problem.

scholarly journals Solution of generalised type – 2 Fuzzy boundary value problem

2021 ◽  
Vol 60 (2) ◽  
pp. 2725-2739
Author(s):  
S. Tudu ◽  
S.P. Mondal ◽  
A. Ahmadian ◽  
A.K. Mahmood ◽  
S. Salahshour ◽  
...  
Keyword(s):  
Boundary Value Problem ◽  
Boundary Value ◽  
Fuzzy Boundary

scholarly journals Efficient approximate analytical methods for nonlinear fuzzy boundary value problem

2022 ◽  
Vol 12 (2) ◽  
pp. 1916
Author(s):  
Ali Fareed Jameel ◽  
Hafed H Saleh ◽  
Amirah Azmi ◽  
Abedel-Karrem Alomari ◽  
Nidal Ratib Anakira ◽  
...  
Keyword(s):  
Boundary Value Problem ◽  
Analytical Methods ◽  
Boundary Value ◽  
Variational Iteration Method ◽  
Approximate Solutions ◽  
Convergent Series ◽  
Numerical Comparison ◽  
Fuzzy Boundary Value Problems ◽  
Fuzzy Boundary ◽  
Approximate Analytical Methods

This paper aims to solve the nonlinear two-point fuzzy boundary value problem (TPFBVP) using approximate analytical methods. Most fuzzy boundary value problems cannot be solved exactly or analytically. Even if the analytical solutions exist, they may be challenging to evaluate. Therefore, approximate analytical methods may be necessary to consider the solution. Hence, there is a need to formulate new, efficient, more accurate techniques. This is the focus of this study: two approximate analytical methods-homotopy perturbation method (HPM) and the variational iteration method (VIM) is proposed. Fuzzy set theory properties are presented to formulate these methods from crisp domain to fuzzy domain to find approximate solutions of nonlinear TPFBVP. The presented algorithms can express the solution as a convergent series form. A numerical comparison of the mean errors is made between the HPM and VIM. The results show that these methods are reliable and robust. However, the comparison reveals that VIM convergence is quicker and offers a swifter approach over HPM. Hence, VIM is considered a more efficient approach for nonlinear TPFBVPs.

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