scholarly journals A New Approach To Solve Fuzzy Non-Linear Equations Using Fixed Point Iteration Algorithm

2013 ◽  
Vol 32 ◽  
pp. 15-21
Author(s):  
Goutam Kumar Saha ◽  
Shapla Shirin
Keyword(s):  
Fixed Point ◽  
Linear Equation ◽  
Graphical Representation ◽  
Linear Equations ◽  
Approximate Solutions ◽  
Iteration Algorithm ◽  
Fixed Point Iteration ◽  
New Approach ◽  
Non Linear Equation ◽  
Non Linear

A non-linear equation over linear fuzzy real numbers is called a fuzzy non-linear  equation. In Classical Mathematics a non-linear equation can be solved by using  different types of numerical methods. In this paper a new approach has been  introduced to get approximate solutions with the help of Fixed Point Iteration  Algorithm. Graphical representation of the solutions has also been drawn so that  anyone can achieve the idea of converging to the root of a fuzzy non-linear equation. DOI: http://dx.doi.org/10.3329/ganit.v32i0.13641 GANIT J. Bangladesh Math. Soc. (ISSN 1606-3694) 32 (2012) 15 – 21

scholarly journals Solution of Fuzzy Non-linear Equation using Bisection Algorithm

2013 ◽  
Vol 61 (1) ◽  
pp. 53-58
Author(s):  
Goutam Kumar Saha ◽  
Shapla Shirin
Keyword(s):  
Linear Equation ◽  
Approximate Solutions ◽  
Real Numbers ◽  
New Approach ◽  
Bisection Algorithm ◽  
Non Linear Equation ◽  
Different Types ◽  
Non Linear ◽  
Classical Mathematics ◽  
Fuzzy Real Numbers

In Classical Mathematics a non-linear equation can be solved by using different types of numerical methods. In this paper a new approach has been introduced to get approximate solutions of a fuzzy non-linear equation with the help of Bisection Algorithm. A non-linear equation over linear fuzzy real numbers is called a fuzzy non-linear equation. Finally, graphical representations of the solutions has also been drawn so that anyone can achieve the idea of converging to the root of a fuzzy non-linear equation. Dhaka Univ. J. Sci. 61(1): 53-58, 2013 (January) DOI: http://dx.doi.org/10.3329/dujs.v61i1.15096

scholarly journals Fuzzy Version of Secant Method to Solve Fuzzy Non-Linear Equations

2016 ◽  
Vol 35 ◽  
pp. 127-134
Author(s):  
Goutam Kumar Saha ◽  
Shapla Shirin
Keyword(s):  
Linear Equation ◽  
Linear Equations ◽  
Approximate Solutions ◽  
Secant Method ◽  
Graphical Representations ◽  
Non Linear Equation ◽  
Non Linear ◽  
Optimum Solution ◽  
Non Linear Equations

In this paper fuzzy version of secant method has been introduced to obtain approximate solutions of a fuzzy non-linear equation. Graphical representations of the approximate solutions have also been shown. The idea of converging to the root to the desired degree of accuracy, which is the optimum solution, of a fuzzy non-linear equation has been focused.GANIT J. Bangladesh Math. Soc.Vol. 35 (2015) 127-134

New Algorithm for Solution of the Non-Linear Equation Systems Occurring in the Design of Thermal Systems

1993 ◽  
Author(s):  
Halil Ibrahim Saraç ◽  
Hasan Riza Güven ◽  
Nedim Sözbir ◽  
Ünal Uysal
Keyword(s):  
Linear Equation ◽  
Linear Systems ◽  
Linear Equations ◽  
Thermal Systems ◽  
Seidel Method ◽  
Non Linear Equation ◽  
Non Linear ◽  
Air Compression ◽  
Non Linear Equations ◽  
Linear Equation Systems

Abstract Models used for the design of thermal systems often lead to non-linear equations which can be converted to linear systems. In this paper, a new algorithm is described for the solution of linear equation systems which have normal or ill-conditioned form A new algorithm and the Gauss-Seidel method were used for two-stage air compression with an inter-cooler. The solutions obtained by using two different methods are compared.

scholarly journals Exact Traveling Wave Solutions of Modified Liouville Equation

2016 ◽  
Vol 35 ◽  
pp. 135-143
Author(s):  
Md Abdus Salam ◽  
Md Obayedullah ◽  
Md Shajib Ali
Keyword(s):  
Linear Equation ◽  
Liouville Equation ◽  
Traveling Wave ◽  
Traveling Wave Solutions ◽  
Approximate Solutions ◽  
Exact Traveling Wave Solutions ◽  
Wave Solutions ◽  
Non Linear Equation ◽  
Non Linear ◽  
Optimum Solution

In this paper fuzzy version of secant method has been introduced to obtain approximate solutions of a fuzzy non-linear equation. Graphical representations of the approximate solutions have also been shown. The idea of converging to the root to the desired degree of accuracy, which is the optimum solution, of a fuzzy non-linear equation has been focused.GANIT J. Bangladesh Math. Soc.Vol. 35 (2015) 135-143

scholarly journals The Non-Linear Equations for the Green Function and Calculation of the Magnetic Field Turbulent Diffusivities and α-Effect

1993 ◽  
Vol 157 ◽  
pp. 245-248
Author(s):  
N.A. Silant'ev
Keyword(s):  
Green Function ◽  
Linear Equation ◽  
Linear Equations ◽  
Characteristic Parameter ◽  
Turbulent Medium ◽  
Non Linear Equation ◽  
Non Linear ◽  
The Green Function ◽  
The Magnetic Field ◽  
Non Linear Equations

The exact numerical solution of the simplest non-linear equation from the hierarchy of non-linear equations for the averaged Green function shows that such solution allows to calculate the diffusivity and α-effect coefficient with a good accuracy for an arbitrary spectra of turbulence for all values of the characteristic parameter. It is derived also the improved equation describing the evolution of admixture fluctuations in a turbulent medium which takes into account the non-linear equation for the averaged Green function.

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