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Symbolic Algorithm for a System of Differential-Algebraic Equations
Thota, Srinivasarao,Kumar, Shiv Datt Department of Mathematics 2016 Kyungpook mathematical journal Vol.56 No.4
In this paper, a symbolic algorithm for solving a regular initial value problem (IVP) for a system of linear differential-algebraic equations (DAEs) with constant coeffcients has been presented. Algebra of integro-differential operators is employed to express the given system of DAEs. We compute a canonical form of the given system which produces another simple equivalent system. Algorithm includes computing the matrix Green's operator and the vector Green's function of a given IVP. Implementation of the proposed algorithm in Maple is also presented with sample computations.
On A Symbolic Method for Error Estimation of a Mixed Interpolation
Thota, Srinivasarao Department of Mathematics 2018 Kyungpook mathematical journal Vol.58 No.3
In this paper, we present a symbolic formulation of the error obtained due to an approximation of a given function by the mixed-interpolating function. Using the proposed symbolic method, we compute the error evaluation operator as well as the error estimation at any arbitrary point. We also present an algorithm to compute an approximation of a function by the mixed interpolation technique in terms of projector operator. Certain examples are presented to illustrate the proposed algorithm. Maple implementation of the proposed algorithm is discussed with sample computations.
On a Symbolic Method for Fully Inhomogeneous Boundary Value Problems
Thota, Srinivasarao Department of Mathematics 2019 Kyungpook mathematical journal Vol.59 No.1
This paper presents a symbolic method for solving a boundary value problem with inhomogeneous Stieltjes boundary conditions over integro-differential algebras. The proposed symbolic method includes computing the Green's operator as well as the Green's function of the given problem. Examples are presented to illustrate the proposed symbolic method.
Complete left ideals in ternary semigroups
BINDU.P,SARALA. Y,Srinivasarao Thota,MADHUSUDHAVA RAO.D 장전수학회 2017 Proceedings of the Jangjeon mathematical society Vol.20 No.3
In this paper we introduce the notions of complete leftideals in ternarysemigroups. We also define direct product and left unit of a ternarysemigroups. And obtain some results from these ideals. We obtain the relation between the complete leftideals and set of all (0, 1) regular elements of a ternarysemigroups.