Mathematical Journal of Interdisciplinary Sciences
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Application of Sumudo Transform and Homotopy Perturbation Method to Solve Nonlinear Differential Equations
Get PDFIn this paper the Sumudo transform is coupled with homotopy Perturbation Method to have the numerical solution of some nonlinear differential equations. The basic concept of applying such technique is to handled the nonlinear terms by using the he’s polynomial
Analysis and Modelling of Annamalai Computing Geometric Series and Summability
Get PDFThis paper presents a mathematical model for the formation as well as computation of geometric series in a novel way. Using Annamalai computing methoda simple mathematical model is established for analysis and manipulation of geometric series and summability.This new modelcould be used in the research fields of physics, engineering, biology, economics, computer science, queueing theory, and finance. In this paper, a novel computational model had also been developed such that a∑i=k∞ yi=ayk/1-y and ∑i=0∞ ∑j=i∞ ayj=a/(1-y)2,(0<y<1). This could be very interesting and informative for current students and researchers
Zeros of Lacunary T ype of Polynomials
Get PDFIn this paper we use matrix methods and Gereshgorian disk Theorem to present some interesting generalizations of some well-known results concerning the distribution of the zeros of polynomial. Our results include as a special case some results due to A .Aziz and a result of Simon Reich-Lossa
Exponential Weighted Moving Average (EWMA) Chart Under The Assumption of Moderateness And Its 3∆ Control Limits
Get PDFModerate distribution is a very good alternative of normal distribution proposed by Naik V.D and Desai J.M. [4], which has mean deviation as scale parameter rather than the standard deviation. Mean deviation (δ) is a very good alternative of standard deviation (σ) as mean deviation is considered to be the most intuitively and rationally defined measure of dispersion. This fact can be very useful in the field of quality control to construct the control limits of the control charts. On the basis of this fact Naik V.D. and Tailor K.S. [5] have proposed 3δ control limits. In 3δ control limits, the upper and lower control limits are set at 3δ distance from the central line where δ is the mean deviation of sampling distribution of the statistic being used for constructing the control chart. In this paper it has been assumed that the underlying distribution of the variable of interest follows moderate distribution proposed by Naik V.D and Desai J.M. [4] and 3δ control limits of exponential weighted moving average chart are derived. Also an empirical study is carried out to illustrate the use these charts
Effect of Non-uniform Temperature Gradient on Marangoni Convection in a Relatively Hotter or Cooler Layer of Liquid
Get PDFThe effect of non-uniform temperature gradient on the onset of convection driven by surface tension gradients in a relatively hotter or cooler layer of liquid is studied by means of linear stability analysis. the upper boundary is considered to be free and insulating where surface tension gradients arise on account of variation in temperature and the lower boundary is rigid. the single-term Galerkin technique is used to obtain the eigenvalue equation. Eigenvalues are obtained and presented for both thermally conducting and insulating cases of the lower boundary. this analysis predicts that in either case the critical eigenvalues for different non-uniform temperature gradients are greater in a relatively hotter layer of liquid than the cooler one under identical conditions otherwise. this qualitative effect is quite significant quantitatively as well
Sequences of Fuzzy Soft Multi Points
Get PDFIn this paper we introduce a new sequence of fuzzy soft multi points in fuzzy soft multi topological space. The concepts of subsequence and convergence sequence of fuzzy soft multi points are proposed. The notion of cluster fuzzy soft multi points of sequences are also introduced. Some basic properties regarding the above concepts are explored
Complexity Studies in Some Piece wise Continuous Dynamical Systems
Get PDFThe, “Complex systems”, stands as a broad term for many diverse disciplines of science and engineering including natural & medical sciences. Complexities appearing in various dynamical systems during evolution are now interesting subjects of studies. Chaos appearing in various dynamical systems can also be viewed as a form of complexity. For some cases nonlinearities within the systems and for other cases piecewise continuity property of the system are responsible for such complexity. Dynamical systems represented by mathematical models having piecewise continuous properties show strange complexity character during evolution. Interesting recent articles explain widely on complexities in various systems. Observable quantities for complexity are measurement of Lyapunov exponents (LCEs), topological entropies, correlation dimension etc. The present article is related to study of complexity in systems having piecewise continuous properties. Some mathematical models are considered here in this regard including famous Lozi map, a discrete mathematical model and Chua circuit, a continuous model. Investigations have been carried forward to obtain various attractors of these maps appearing during evolution in diverse and interesting pattern for different set of values of parameters and for different initial conditions. Numerical investigations extended to obtain bifurcation diagrams, calculations of LCEs, topological entropies and correlation dimension together with their graphical representation
On The Generalized Divided Differences
Get PDFLet V ⊂ℜ be a finite set and f :ℜ→ℜ. f(V) is divided the difference of f at the points of V. The m-th order Peano derivative of f({x}∪V)with respect to x is called generalized divided difference and is denoted by fm (x, V). The properties of fm(x,V) are studied
Bayesian Estimation of Augmented Exponential Strength Reliability Models Under Non-informative Priors
Get PDFIn this article, the augmented strength reliability models are derived by assuming that the Inverse Gaussian stress(Y) is subjected to equipment having exponential strength(X) and are independent to each other.In a real life situations many manufactured new equipments/ products are being failed completely or partially at very early stage of its use, due to lack of its strength. Hence, ASP is proposed to protect such types of failures. The maximum likelihood (ML) and Bayes estimation of augmented strength reliability are considered. In Bayesian paradigm the non-informative types (uniform and Jeffrey’s) priors are chosen under symmetric and asymmetric loss functions for better comprehension. A comparison between the ML and Bayes estimators of augmented strength reliability is carried out on the basis of their mean square errors (mse) by simulating Monte-Carlo samples from posterior distribution by using Metropolis-Hasting approximation
Orbit of a point in Dynamical Systems
Get PDFIn this paper, we have proved the necessary and sufficient condition for a weakly mixing and topologically mixing function. Some properties of the monoid, periodic points and eventually periodic points are obtained. Some relations between weakly mixing, transitive and topologically mixing functions are obtained. Some results of considerable importance about the orbit of a point and relation with eventually periodic point are proved. Some results of the set theory that play an important role in our studies are included. Some new terms like singly transitive and lately transitive are introduced