M. Kaliyappan

Bio: M. Kaliyappan is an academic researcher. The author has contributed to research in topics: Matrix polynomial & Polynomial matrix. The author has an hindex of 2, co-authored 7 publications receiving 6 citations.

Solving fuzzy assignment and fuzzy travelling salesman problems using r software

Abstract: In this article an interesting procedure is proposed for fuzzy travelling salesman problems and assignment problems using " R" software packages such as "FuzzyNumbers" and "lpSolve" and fuzzy travelling salesman problems using "R" software packages "FuzzyNumbers" and "TSP" . To validate the procedure some numerical examples are illustrated and the results are compared with the contemporary procedures.

Recursive formulation of the matrix Padé approximation in packed storage

Abstract: The Extended Euclidean algorithm for matrix Pade approximants is applied to compute matrix Pade approximants when the coefficient matrices of the input matrix polynomial are triangular. The procedure given by Bjarne S. Anderson et al. for packing a triangular matrix in recursive packed storage is applied to pack a sequence of lower triangular matrices of a matrix polynomial in recursive packed storage. This recursive packed storage for a matrix polynomial is applied to compute matrix Pade approximants of the matrix polynomial using the Matrix Pade Extended Euclidean algorithm in packed form. The CPU time and memory comparison, in computing the matrix Pade approximants of a matrix polynomial, between the packed case and the non-packed case are described in detail.

A Review of Fuzzy Graph Theory

Abstract: Fuzzy graph theory has wider range of applications in logic, algebra, topology, operations research, pattern recognition, artificial intelligence, neural networks and several other fields. In this article, recent developments in fuzzy graph theory have been reviewed.

Fractional-order viscoelasticity in one-dimensional blood flow models

Abstract: In this work we employ integer- and fractional-order viscoelastic models in a one-dimensional blood flow solver, and study their behavior by presenting an in-silico study on a large patient-specific cranial network. The use of fractional-order models is motivated by recent experimental studies indicating that such models provide a new flexible alternative to fitting biological tissue data. This is attributed to their inherent ability to control the interplay between elastic energy storage and viscous dissipation by tuning a single parameter, the fractional order α, as well as to account for a continuous viscoelastic relaxation spectrum. We perform simulations using four viscoelastic parameter data-sets aiming to compare different viscoelastic models and highlight the important role played by the fractional order. Moreover, we carry out a detailed global stochastic sensitivity analysis study to quantify uncertainties of the input parameters that define each wall model. Our results confirm that the effect of fractional models on hemodynamics is primarily controlled by the fractional order, which affects pressure wave propagation by introducing viscoelastic dissipation in the system.

Analytical solution of nonlinear differential equations two oscillators mechanism using Akbari–Ganji method

Abstract: In the last decade, many potent analytical methods have been utilized to find the approximate solution of nonlinear differential equations. Some of these methods are energy balance method (EBM), ho...

Computation of the $c$-Table Related to the Padé Approximation

Abstract: The aim of this paper is to give a complete and practical method for numerical application of Padé approximation with the help of the -table analysis. We present an exhaustive list of useful formulas to compute a -table related to a formal power series . Some of these formulas are not widely known, because they were presented in publications of limited circulation. Some others were never published, as three symmetric Paszkowski-like formulas to overcome the blocks in a -table or an extension of local error formula for Padé approximants in the blocks. All formulas are given in two versions: in terms of Toeplitz determinants (-table) and in the version of Hankel determinants (-table). We compare the theory with numerical observations by reproducing different computational aspects of software producing the -tables with the presence of blocks and their evolution following the evolution of computer environment.

Impact of Multiplicative Noise on the Exact Solutions of the Fractional-Stochastic Boussinesq-Burger System

Abstract: In this paper, we consider the fractional-stochastic Boussinesq-Burger system (FSBBS) generated by the multiplicative Brownian motion. The Jacobi elliptic function techniques are used to create creative elliptic, hyperbolic, and rational fractional-stochastic solutions for FSBBS. Furthermore, we draw 2D and 3D graphs by using the MATLAB Package for some obtained solutions of FSBBS to discuss the influence of the Brownian motion on these solutions. Finally, we indicate that the Brownian motion stabilizes the solutions of FSBBS around zero.