scholarly journals The Nyström method for hybrid fuzzy differential equation IVPs

2011 ◽  
Vol 23 (4) ◽  
pp. 371-379 ◽  
Author(s):  
Omid Solaymani Fard ◽  
Tayebeh AliAbdoli Bidgoli
Keyword(s):  
Differential Equation ◽  
Fuzzy Differential Equation ◽  
Nyström Method ◽  
Nystrom Method

scholarly journals Numerical Solution of Second-Order Fuzzy Differential Equation Using Improved Runge-Kutta Nystrom Method

2013 ◽  
Vol 2013 ◽  
pp. 1-10 ◽  
Author(s):  
Faranak Rabiei ◽  
Fudziah Ismail ◽  
Ali Ahmadian ◽  
Soheil Salahshour
Keyword(s):  
Differential Equation ◽  
Computational Cost ◽  
Second Order ◽  
Fuzzy Differential Equation ◽  
Nyström Method ◽  
Numerical Examples ◽  
Time Consumption ◽  
Nystrom Method ◽  
Fuzzy Function ◽  
Runge Kutta

We develop the Fuzzy Improved Runge-Kutta Nystrom (FIRKN) method for solving second-order fuzzy differential equations (FDEs) based on the generalized concept of higher-order fuzzy differentiability. The scheme is two-step in nature and requires less number of stages which leads to less number of function evaluations in comparison with the existing Fuzzy Runge-Kutta Nystrom method. Therefore, the new method has a lower computational cost which effects the time consumption. We assume that the fuzzy function and its derivative are Hukuhara differentiable. FIRKN methods of orders three, four, and five are derived with two, three, and four stages, respectively. The numerical examples are given to illustrate the efficiency of the methods.

Revisiting albedo from a fuzzy perspective

Kybernetes ◽  
2021 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Morteza Pakdaman ◽  
Majid Habibi Nokhandan ◽  
Yashar Falamarzi
Keyword(s):  
Differential Equation ◽  
Energy Balance ◽  
Fuzzy Number ◽  
Climate Models ◽  
Energy Balance Model ◽  
Fuzzy Differential Equation ◽  
Balance Model ◽  
Content Type ◽  
Fuzzy Energy ◽  
Fuzzy Derivative

PurposeThe aim of this paper is to revisit the albedo for uncertainty. The albedo is considered as a fuzzy value due to some realistic reasons which they will be discussed in details. After defining an appropriate uncertain albedo by using fuzzy set theory, the related energy balance model is also redefined as a fuzzy differential equation by using the concept of fuzzy derivative.Design/methodology/approachThe well-known Earth energy balance model is redefined as a fuzzy differential equation by using the concept of fuzzy derivative. Thus, instead of an ordinary differential equation, a fuzzy differential equation arises which it's solution procedure will be discussed in details.FindingsResults indicate that the fuzzy uncertainty for albedo causes more real results after solving the fuzzy energy balance equation. Considering albedo as a fuzzy number is more realistic than considering a single certain number for albedo of a surface. This is due to this fact that the Earth's surface coverage is not crisp and the boundaries of different types of lands are not consistent. The proposed approach of this paper can help us to provide more realistic climate models and construct dynamical models which can model the albedo based on its variability.Originality/valueIn this paper, we defined fuzzy energy balance model as a fuzzy differential equation for the first time. We also, considered albedo as a fuzzy number which is another novel approach.

Predictive Nyström method for kernel methods

2017 ◽  
Vol 234 ◽  
pp. 116-125 ◽  
Author(s):  
Jiangang Wu ◽  
Lizhong Ding ◽  
Shizhong Liao
Keyword(s):  
Kernel Methods ◽  
Nyström Method ◽  
Nystrom Method

scholarly journals Matrix compression using the Nyström method

2016 ◽  
Vol 20 (5) ◽  
pp. 997-1019 ◽  
Author(s):  
Arik Nemtsov ◽  
Amir Averbuch ◽  
Alon Schclar
Keyword(s):  
Nyström Method ◽  
Nystrom Method ◽  
Matrix Compression
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