iosr-Jm   Volume-14 ~ Issue-1 ~ Jan-Feb 2018

Abstract: This paper considers a fluid dynamic traffic flow model known as Lighthill, Whitham and Richards (LWR) model appended with a linear velocity-density function. The model reads as a quasi-linear first order hyperbolic partial differential equation (PDE) and in order to incorporate initial and boundary data treated as an initial boundary value problem (IBVP). We presents the exact solution of the PDE as a Cauchy problem and the derivation of a finite difference scheme of a traffic flow model which is second order Lax-Wendroff difference scheme and establish well-posed-ness and stability condition for the scheme...............

Keywords: LWR Traffic Flow Model, Lax-Wendroff Difference Scheme , Numerical Simulation.

[1]. N. Bellomo, and M. Delitala, (2002). On the mathematical theory of vehicular traffic. Fluid
[2]. Dynamic and Kinetic Modeling, I.
[3]. G. Bretti, R. Natalini, and B. Piccoli, (2007) "A Fluid-Dynamic Traffic Model on Road
[4]. Networks", Compute Methods Eng., CIMNE, Barcelona, Spain .Vol-14:139-172.
[5]. A. Klar, R.D. Kuhene, and R. Wegener, "Mathematical Models for Vehicular Traffic"

Abstract: It has been theorised that only capital expenditure targeted at infrastructural development bring about economic growth and this has brought about the doubt as to whether recurrent expenditure translates to economic growth in any form, and if yes, what aspects of the recurrent expenditure mediate upon economic growth using crude oil price as Nigeria's major source of income. This study seeks to determine the variables of recurrent expenditure that act as mediators to economic growth in Nigeria; to compute the indirect effect of recurrent expenditure on economic growth in Nigeria.........

Keywords: Recurrent expenditure, crude oil prices, economic growth mediation.

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[2]. Cohen, J.; Cohen, P.; West, S. G. & Aiken, L. S. (2003). Applied multiple regression/correlation analysis for the behavioral sciences (3rd ed.). Mahwah, NJ: Erlbaum

Abstract: Associative Finite Binary Automaton, Commutative Finite Binary Automaton, AC Finite Binary Automaton have been introduced. Cross Product of Finite Binary Automatons has been defined. If B1 = (Q1, Δ1, Ʃ1, δ1, p0, F1) and B2 = (Q2, Δ2, Ʃ2, δ2, q0, F2) are any two Finite Binary Automatons, then B1×B2 is also a finite binary automaton. If B1 = (Q1, Δ1, Ʃ1, δ1, p0, F1) and B2 = (Q2, Δ2, Ʃ2, δ2, q0, F2) are any two Associative Finite Binary Automatons, then B1×B2 is also an associative finite binary automaton. If B1 = (Q1, Δ1, Ʃ1, δ1, p0, F1) and B2 = (Q2, Δ2, Ʃ2, δ2, q0, F2) are any two commutative Finite Binary Automatons, then B1×B2 is also a commutative finite binary automaton. If B1 = (Q1, Δ1, Ʃ1, δ1, p0, F1) and B2 = (Q2, Δ2, Ʃ2, δ2, q0, F2) are any two AC Finite Binary Automatons, then B1×B2 is also an AC commutative finite binary automaton...

Keywords: Finite Binary Automaton, Associative Finite Binary Automaton, Commutative Finite Binary Automaton, AC Finite Binary Automaton

[1]. S.Shanmugavadivoo And Dr. M.Kamaraj, "Finite Binary Automata" "International Journal Of Mathematical Archive", 7(4),2016, Pages 217-223.
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Abstract: In 1999 Molodstov introduced the main concept of Soft set theory for Uncertainties Problems. They shows that Soft sets are a class of extraordinary information systems. So it's important to study the structure of soft sets for information systems. In this piece we carry on to investigate the Properties of Soft semi closed sets in Soft topological spaces. The objective of this work is to describe the basic concept of g- Soft semi closed sets in Soft topological spaces.

Keywords: Soft semi open sets – Soft semi closed sets - βg- Soft semi closed sets

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[2]. I. Arockiarani and T.A. Albinaa, Soft generalized preclosed sets and space, Proceedings of ICMSCA, (2014), 183-187.
[3]. Bin chen., "Soft Semi-Open Sets And Related Properties In Soft Topological Spaces",
[4]. Appl. math. Inf. Sci., Vol. 7, pp. 287-294, 2013.
[5]. Z.E. Guzel, S. Yksel and N. Tozlu, On Soft generalized preregular closed and open sets in Soft topological spaces, Applied Mathematical Sciences, 8(2014), 7875-7884.

Abstract: In this paper, tuberculosis related diseases and its symptoms are discussed and the different kinds of affected patients are analyzed using fuzzy soft matrices based on reference function.

Keywords:Soft Set, Fuzzy Soft Set (FSS), Fuzzy Soft Matrices (FSM), Complement, Product of Fuzzy Soft Matrices.

[1]. L.A.Zadeh (1965), "Fuzzy sets, Information andcontrol",8,pp.338-353.
[2]. D.Molodtsov (1999), "Soft set theory first results, computer and Mathematics with application", 37,pp:19-31
[3]. P.K.Maji,R.Biswas and A.R.Roy (2001), "Fuzzy soft system The journal of fuzzy mathematics", volume 9, No.3,pp:589-602.
[4]. B.Ahmad and A.Kharal (2009) "On Fuzzy soft sets, Advance in Fuzzy systems",pp:1-6.
[5]. N.Sarala and S.Rajkumari (2014), "Invention of Best Technology in Agriculture using Intuitionistic fuzzy soft Matrices", International Journal of Scientific and Technology Research, Volume 3, issue 4,pp:282-286.

Abstract: Constructing an estimator for functional estimation is one of the problems in statistical inference. In this paper, the problem of constructing an estimator for a studentized sum is considered in the nonparametric set-up. In this set-up, data are used to infer to an unknown quantity while making as few assumptions as possible. This non-smooth functional lack some degree of properties traditionally relied upon in estimation. Smooth functionals converge at the rate of 𝑛−12 while non-smooth functionals converge at the rate slower than 𝑛−12 . This highlights the reason why standard techniques fail to give sharp results. A clear and accurate approximation is obtained by using an approximation that admits cumulant generating function; saddle point approximation. An optimal estimator is obtained..........

Keywords:Edgeworth Expansion, Nonparametric, Non-smooth, Saddle point, Standardized sum

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Abstract: In this paper, we derive the variational iteration formula for the analytical solution to Riccati equations.The method provides the solutions in terms of rapidly convergent series and does not required small parameters in equation as the perturbation technique do. Few examples were solved analytically to show the effectiveness and efficiency of the method. It was observed that by carefully chosen a very good Lagrange multiplier, a solution in a closed form is obtained..

Keywords: variational iteration method, initial value problems, Riccati equation

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[2]. He, J. H. (2006). Some asymptotic methods for strongly nonlinear equations.Int J Mod Phys B, 20, 1141-1199.
[3]. He, J. H. (2007). Variational iteration method:Some recent results and new interpretations. J Comput Appl Math , 207, 3-17.
[4]. He, J. H. (2000) Variational iteration method for autonomous ordinary differential systems.Appl Math Comput 114, 115-123.
[5]. Biazar J, Gholamin P & Hosseini K. ( 2010). Variational iteration method for solving Fokker-Planck equation. 347, 1137-1147..