scholarly journals Soution of fuzzy initial value problems by fuzzy Laplace transform

10.29007/pnq2 ◽  
2018 ◽  
Author(s):  
Komal Patel ◽  
Narendrasinh Desai
Keyword(s):  
Laplace Transform ◽  
Initial Value Problem ◽  
Level Sets ◽  
Initial Value Problems ◽  
Initial Value ◽  
Generalized Differentiability ◽  
Strongly Generalized Differentiability ◽  
Fuzzy Laplace Transform ◽  
Mathematica Software

In this paper we propose a fuzzy Laplace transform to solve fuzzy initial value problem under strongly generalized differentiability concept. The fuzzy Laplace transform of derivative was used to solve Nth-order fuzzy initial value problem. To illustrate applicability of proposed method we plot graphs for different values of r -level sets by using Mathematica Software.

scholarly journals SOLVING THE FUZZY INITIAL VALUE PROBLEM WITH NEGATIVE COEFFICIENT BY USING FUZZY LAPLACE TRANSFORM

2020 ◽  
Vol 35 (1) ◽  
pp. 201
Author(s):  
Hülya Gültekin Çitil
Keyword(s):  
Laplace Transform ◽  
Initial Value Problem ◽  
Negative Coefficient ◽  
Initial Value ◽  
Generalized Differentiability ◽  
Comparison Results ◽  
Fuzzy Laplace Transform

In this paper, the fuzzy initial value problem with negative coefficient is solved by using fuzzy Laplace transform and generalized differentiability. The solutions are found and the comparison results are given.

scholarly journals Analytical solutions forfuzzysystem using power series approach

2016 ◽  
Vol 12 (8) ◽  
pp. 6553-6559
Author(s):  
Sana Abughurra
Keyword(s):  
Power Series ◽  
Analytical Solutions ◽  
Initial Value Problems ◽  
Convergent Series ◽  
Initial Value ◽  
Generalized Differentiability ◽  
Residual Power Series ◽  
Strongly Generalized Differentiability ◽  
Fuzzy Equations ◽  
Residual Power

The aim of the present paper is present a relatively new analytical method, called residual power series (RPS) method, for solving system of fuzzy initial value problems under strongly generalized differentiability. The technique methodology provides the solution in the form of a rapidly convergent series with easily computable components using symbolic computation software. Several computational experiments are given to show the good performance and potentiality of the proposed procedure. The results reveal that the present simulated method is very effective, straightforward and powerful methodology to solve such fuzzy equations.

scholarly journals On Solution of First Order Initial Value Problems using Laplace Transform in Fuzzy Environment

2021 ◽  
Vol 7 (2) ◽  
pp. 21-29
Author(s):  
Abubakar Terrang ◽  
◽  
Awumtiya Isa ◽  
Felix Bakare ◽  
Patience Iliya ◽  
...  
Keyword(s):  
Laplace Transform ◽  
Initial Value Problem ◽  
Initial Value Problems ◽  
Initial Value ◽  
Laplace Transform Method ◽  
Transform Method ◽  
First Order ◽  
Fuzzy Environment ◽  
Fuzzy Function

This study aimed at solving a nonhomogeneous linear first order initial value problem by means of Laplace transform method in fuzzy environment. The conditions for a fuzzy function to be H−differentiable and gH−differentiability are well established. Finally, example is constructed to test the applicability or otherwise of the established results.

Solving interactive fuzzy initial value problem via fuzzy Laplace transform

2021 ◽  
Vol 40 (1) ◽  
Author(s):  
Silvio Antonio Bueno Salgado ◽  
Estevão Esmi ◽  
Daniel Eduardo Sánchez ◽  
Laécio Carvalho de Barros
Keyword(s):  
Laplace Transform ◽  
Initial Value Problem ◽  
Initial Value ◽  
Fuzzy Laplace Transform

ORDER AND CONVERGENCE OF THE ENHANCED 3-POINT FULLY IMPLICIT SUPER CLASS OF BLOCK BACKWARD DIFFERENTIATION FORMULA FOR SOLVING INITIAL VALUE PROBLEM

2021 ◽  
Vol 5 (2) ◽  
pp. 442-446
Author(s):  
Muhammad Abdullahi ◽  
Hamisu Musa
Keyword(s):  
Initial Value Problem ◽  
Initial Value Problems ◽  
Sufficient Conditions ◽  
Initial Value ◽  
Differentiation Formula ◽  
Stiff Initial Value Problems ◽  
First Order ◽  
Backward Differentiation Formula ◽  
Fully Implicit ◽  
Necessary And Sufficient

This paper studied an enhanced 3-point fully implicit super class of block backward differentiation formula for solving stiff initial value problems developed by Abdullahi & Musa and go further to established the necessary and sufficient conditions for the convergence of the method. The method is zero stable, A-stable and it is of order 5. The method is found to be suitable for solving first order stiff initial value problems

Dual extremum principles for the heat equation

1977 ◽  
Vol 77 (3-4) ◽  
pp. 273-292 ◽  
Author(s):  
W. D. Collins
Keyword(s):  
Hilbert Space ◽  
Boundary Value Problem ◽  
Heat Equation ◽  
Initial Value Problem ◽  
General Class ◽  
Initial Value Problems ◽  
Linear Operators ◽  
Point Boundary ◽  
Initial Value ◽  
Quantities Of Interest

SynopsisDual extremum principles characterising the solution of initial value problems for the heat equation are obtained by imbedding the problem in a two-point boundary-value problem for a system in which the original equation is coupled with its adjoint. Bounds on quantities of interest in the original initial value problem are obtained. Such principles are examples of ones which can be obtained for a general class of linear operators on a Hilbert space.

scholarly journals Approximate Solution of Linear Fuzzy Initial Value Problems Using Modified Variaional Iteration Method

2021 ◽  
Vol 24 (4) ◽  
pp. 32-39
Author(s):  
Hussein M. Sagban ◽  
◽  
Fadhel S. Fadhel ◽  
Keyword(s):  
Approximate Solution ◽  
Rate Of Convergence ◽  
Initial Value Problem ◽  
Iteration Method ◽  
Initial Value Problems ◽  
Initial Conditions ◽  
Variational Iteration Method ◽  
Initial Value ◽  
Variational Iteration ◽  
Modified Variational Iteration Method

The main objective of this paper is to solve fuzzy initial value problems, in which the fuzziness occurs in the initial conditions. The proposed approach, namely the modified variational iteration method, will be used to find the solution of fuzzy initial value problem approximately and to increase the rate of convergence of the variational iteration method. From the obtained results, as it is expected, the approximate results of the proposed method are more accurate than those results obtained without using the modified variational iteration method.

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