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 A High-Order Numerical Method for a Nonlinear System of Second-Order Boundary Value Problems

2020 ◽  
Vol 2020 ◽  
pp. 1-7
Author(s):  
Minqiang Xu ◽  
Jing Niu ◽  
Li Guo
Keyword(s):  
Nonlinear System ◽  
Boundary Value Problems ◽  
Numerical Experiments ◽  
Reproducing Kernel ◽  
Kernel Method ◽  
Boundary Value ◽  
Linear Equations ◽  
Second Order ◽  
High Order ◽  
Reproducing Kernel Method

This paper is concerned with a high-order numerical scheme for nonlinear systems of second-order boundary value problems (BVPs). First, by utilizing quasi-Newton’s method (QNM), the nonlinear system can be transformed into linear ones. Based on the standard Lobatto orthogonal polynomials, we introduce a high-order Lobatto reproducing kernel method (LRKM) to solve these linear equations. Numerical experiments are performed to investigate the reliability and efficiency of the presented method.

scholarly journals Fuzzy reproducing kernel space method for solving fuzzy boundary value problems

2019 ◽  
Vol 13 (2) ◽  
pp. 97-103
Author(s):  
N. Gholami ◽  
T. Allahviranloo ◽  
S. Abbasbandy ◽  
N. Karamikabir
Keyword(s):  
Boundary Value Problems ◽  
Reproducing Kernel ◽  
Boundary Value ◽  
Kernel Space ◽  
Reproducing Kernel Space ◽  
Fuzzy Boundary Value Problems ◽  
Fuzzy Boundary ◽  
Space Method

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.

Numerical Investigation for Solving Two-Point Fuzzy Boundary Value Problems by Reproducing Kernel Approach

2016 ◽  
Vol 10 (6) ◽  
pp. 2117-2129 ◽  
Author(s):  
Rania Saadeh ◽  
Mohammed Al-Smadi ◽  
Ghaleb Gumah ◽  
Hammad Khalil ◽  
Rahmat Ali Khan
Keyword(s):  
Boundary Value Problems ◽  
Numerical Investigation ◽  
Reproducing Kernel ◽  
Boundary Value ◽  
Kernel Approach ◽  
Fuzzy Boundary Value Problems ◽  
Fuzzy Boundary

scholarly journals Numerical solution of fuzzy boundary value problems using Galerkin method

Sadhana ◽  
2017 ◽  
Vol 42 (1) ◽  
pp. 45-61 ◽  
Author(s):  
Smita Tapaswini ◽  
S Chakraverty ◽  
Juan J Nieto
Keyword(s):  
Galerkin Method ◽  
Numerical Solution ◽  
Boundary Value Problems ◽  
Boundary Value ◽  
Fuzzy Boundary Value Problems ◽  
Fuzzy Boundary

On interactive fuzzy boundary value problems

2019 ◽  
Vol 358 ◽  
pp. 84-96 ◽  
Author(s):  
Daniel Eduardo Sánchez ◽  
Laécio Carvalho de Barros ◽  
Estevão Esmi
Keyword(s):  
Boundary Value Problems ◽  
Boundary Value ◽  
Fuzzy Boundary Value Problems ◽  
Fuzzy Boundary

Third-order three-point fuzzy boundary value problems

2009 ◽  
Vol 3 (3) ◽  
pp. 323-333 ◽  
Author(s):  
P. Prakash ◽  
G. Sudha Priya ◽  
J.-H. Kim
Keyword(s):  
Boundary Value Problems ◽  
Boundary Value ◽  
Third Order ◽  
Fuzzy Boundary Value Problems ◽  
Fuzzy Boundary
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