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Solution and Interpretation of NeutrosophicHomogeneous Difference Equation

Mathematics
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Book Synopsis Solution and Interpretation of NeutrosophicHomogeneous Difference Equation by : Abdul Alamin

Download or read book Solution and Interpretation of NeutrosophicHomogeneous Difference Equation written by Abdul Alamin. This book was released on . Available in PDF, EPUB and Kindle. Book excerpt: In this manuscript, we focus on the brief study of finding the solution to and analyzingthe homogeneous linear difference equation in a neutrosophic environment, i.e., we interpreted the solution of the homogeneous difference equation with initial information, coefficient and both as a neutrosophic number. The idea for solving and analyzing the above using the characterization theorem is demonstrated.

New approach on differential equation via trapezoidal neutrosophic number

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Book Synopsis New approach on differential equation via trapezoidal neutrosophic number by : I. R. Sumathi

Download or read book New approach on differential equation via trapezoidal neutrosophic number written by I. R. Sumathi. This book was released on . Available in PDF, EPUB and Kindle. Book excerpt: Neutrosophic Logic is a tool based on non-standard analysis to represent mathematical model of uncertainty, vagueness, ambiguity, incompleteness, and inconsistency. In Neutrosophic set, indeterminacy is quantified explicitly whereas the truth membership, indeterminacy membership, and falsity membership are independent. This plays a vital role in many situations whenwehandle inconsistent and incomplete information. In modeling problems, differential equations have major applications in the field of science and engineering and the study of differential equationwith uncertainty is one of emerging field of research. In this paper, the differential equations in neutrosophic environment are explored, also the solution of second-order linear differential equation with trapezoidal neutrosophic numbers as boundary conditions is discussed. Furthermore, the numerical example is given to demonstrate the solution with different values of (α, β, γ )-cut of trapezoidal neutrosophic number.

Sumudu Transform for Solving Second Order Ordinary Differential Equation under Neutrosophic Initial Conditions

2020-12-01 Mathematics
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Release : 2020-12-01
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Book Synopsis Sumudu Transform for Solving Second Order Ordinary Differential Equation under Neutrosophic Initial Conditions by : Meghna Parikh

Download or read book Sumudu Transform for Solving Second Order Ordinary Differential Equation under Neutrosophic Initial Conditions written by Meghna Parikh. This book was released on 2020-12-01. Available in PDF, EPUB and Kindle. Book excerpt: The ordinary differential equation of second order is being used in many engineering disciplines and sciences to model many real-life problems. These problems are mostly uncertain, vague and incomplete and thus they require some more advanced tool for modelling. Neutrosophic logic becomes the solution of all these kind of uncertain problems as it describe the conditions of uncertainty which occurs during the process of modelling on the basis of grade of membership of truth values, indeterminacy values and falsity values, that means it consider all the uncertain parameters on the basis of these degrees. In this research paper, we have considered the ordinary differential equation of second order with neutrosophic numbers as initial conditions of spring mass system is solved using Sumudu transform method which has advantage of unit preserving property over the well established Laplace Transform method. The solution obtained at various computational points by this method is shown in the form of table. Furthermore, the results obtained at different (α, β, γ)-cut and time values are also depicted graphically and are verified analytically by de-fuzzifying the data.

A Study of Some Neutrosophic Differential Equations as a Direct Application of One-Dimensional Geometric AH-Isometry

2022-01-01 Mathematics
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Release : 2022-01-01
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Book Synopsis A Study of Some Neutrosophic Differential Equations as a Direct Application of One-Dimensional Geometric AH-Isometry by : Ahmed A. Salama

Download or read book A Study of Some Neutrosophic Differential Equations as a Direct Application of One-Dimensional Geometric AH-Isometry written by Ahmed A. Salama. This book was released on 2022-01-01. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we use the one dimensional AH-isometry to find the structure of the solutions of many neutrosophic differential equations. These equations will be handled by the algebraic direct image of the neutrosophic AH-isometry taken in one dimension.

A New Perspective on Neutrosophic Differential Equation

Mathematics
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Book Synopsis A New Perspective on Neutrosophic Differential Equation by : I. R. Sumathi

Download or read book A New Perspective on Neutrosophic Differential Equation written by I. R. Sumathi. This book was released on . Available in PDF, EPUB and Kindle. Book excerpt: In this paper the Neutrosophic ordinary differential equation of first order via neutrosophic numbers is epitomized. We also intend to define the neutrosophic numbers and their (α, β, γ)-cut. Finally a numerical example is given to demonstrate its practicality and effectiveness of the differential equation involving neutrosophic numbers.

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