#applied mathamatics

[ijtsrd]

The Analytical Nature of the Greens Function in the Vicinity of a Simple Pole

by Ghulam Hazrat Aimal Rasa "The Analytical Nature of the Green's Function in the Vicinity of a Simple Pole"

Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-4 | Issue-6 , October 2020,

URL: https://www.ijtsrd.com/papers/ijtsrd33696.pdf

Paper Url: https://www.ijtsrd.com/mathemetics/applied-mathamatics/33696/the-analytical-nature-of-the-greens-function-in-the-vicinity-of-a-simple-pole/ghulam-hazrat-aimal-rasa

callforpaperpapersconference, highimpactfactor, manuscriptpublication

It is known that the Green function of a boundary value problem is a meromorphic function of a spectral parameter. When the boundary conditions contain integro differential terms, then the meromorphism of the Greens function of such a problem can also be proved. In this case, it is possible to write out the structure of the residue at the singular points of the Greens function of the boundary value problem with integro differential perturbations. An analysis of the structure of the residue allows us to state that the corresponding functions of the original operator are sufficiently smooth functions. Surprisingly, the adjoint operator can have non smooth eigenfunctions. The degree of non smoothness of the eigenfunction of the adjoint operator to an operator with integro differential boundary conditions is clarified. It is indicated that even those conjugations to multipoint boundary value problems have non smooth eigenfunctions. 

[ijtsrd]

RP 144 Formulation of Solutions of a Very Special Class of Standard Quadratic Congruence of Composite Modulus modulo a Multiple of Powered Even Prime by a Powered Odd Prime

by Prof B M Roy "RP-144: Formulation of Solutions of a Very Special Class of Standard Quadratic Congruence of Composite Modulus modulo a Multiple of Powered Even Prime by a Powered Odd Prime"

Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-4 | Issue-6 , October 2020,

URL: https://www.ijtsrd.com/papers/ijtsrd35718.pdf

Paper Url: https://www.ijtsrd.com/mathemetics/applied-mathamatics/35718/rp144-formulation-of-solutions-of-a-very-special-class-of-standard-quadratic-congruence-of-composite-modulus-modulo-a-multiple-of-powered-even-prime-by-a-powered-odd-prime/prof-b-m-roy

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In this paper, the author considered a very special type of standard quadratic congruence of composite modulus for its formulation of solutions. It is found that such a congruence has exactly 4p solutions, p being an odd prime present in the modulus of the congruence. These solutions are formulated by the author. First time a formula is derived and hence the solutions can be obtained orally. The literature of mathematics remains silent in case of formulation of such congruence. Formulation is the merit of the paper. 

[ijtsrd]

Rp 135 Reformulation of Solutions of the Standard Quadratic Congruence of Composite Modulus A Product of Odd Prime Power Integer and Four

by Prof B M Roy "Rp-135: Reformulation of Solutions of the Standard Quadratic Congruence of Composite Modulus- A Product of Odd Prime-Power Integer and Four"

Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-4 | Issue-5 , August 2020,

URL: https://www.ijtsrd.com/papers/ijtsrd33079.pdf

Paper Url :https://www.ijtsrd.com/mathemetics/applied-mathamatics/33079/rp135-reformulation-of-solutions-of-the-standard-quadratic-congruence-of-composite-modulus-a-product-of-odd-primepower-integer-and-four/prof-b-m-roy

callforpaperphysics, physicsjournal

In this paper, the author reformulated the solutions of the standard quadratic congruence of composite modulus a product of odd prime power integer and four. In the first formulation the solutions were obtained using different formulae. Now, a single formula is established for solutions. The formula is tested and verified using some illustrations. No need to use Chinese Remainder Theorem and solutions can now be obtained orally using the new formula. This is the merit of the paper. 

[ijtsrd]

Modeling the Consequence of Multi Intervention Campaigns for the Spread of Malaria

by Fekadu Tadege Kobe | Tigabu Abera Nune | Nuriye Hakima Kadiso "Modeling the Consequence of Multi-Intervention Campaigns for the Spread of Malaria"

Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-4 | Issue-5 , August 2020,

URL: https://www.ijtsrd.com/papers/ijtsrd33048.pdf

Paper Url :https://www.ijtsrd.com/mathemetics/applied-mathamatics/33048/modeling-the-consequence-of-multiintervention-campaigns-for-the-spread-of-malaria/fekadu-tadege-kobe

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This paper proposes and analyses a basic deterministic mathematical model to investigate Simulation for controlling malaria Diseases Transmission dynamics. The model has nine non linear differential equations which describe the control of malaria with two state variables for mosquitoes populations and five state variables for humans population and to introduce the new SPITR model for the transmission dynamics of malaria with four time dependent control measures in Ethiopia Insecticide treated bed nets ITNS , Treatments, Indoor Residual Spray IRs and Intermittent preventive treatment of malaria in pregnancy IPTP . The models are analyzed qualitatively to determine criteria for control of a malaria transmission dynamics, and are used to calculate the basic reproductionR 0. The equilibria of malaria models are determined. In addition to having a disease free equilibrium, which is globally asymptotically stable when the R 0 1, the basic malaria model manifest ones possession of a quality of the phenomenon of backward bifurcation where a stable disease free equilibrium co exists at the same time with a stable endemic equilibrium for a certain range of associated reproduction number less than one. The results also designing the effects of some model parameters, the infection rate and biting rate. The numerical analysis and numerical simulation results of the model suggested that the most effective strategies for controlling or eradicating the spread of malaria were suggest using insecticide treated bed nets, indoor residual spraying, prompt effective diagnosis and treatment of infected individuals with vaccination is more effective for children. 

[ijtsrd]

Octagonal Fuzzy Transportation Problem Using Different Ranking Method

by Dr. P. Rajarajeswari | G. Menaka "Octagonal Fuzzy Transportation Problem Using Different Ranking Method"

Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-4 | Issue-5 , August 2020,

URL: https://www.ijtsrd.com/papers/ijtsrd31706.pdf

Paper Url :https://www.ijtsrd.com/mathemetics/applied-mathamatics/31706/octagonal-fuzzy-transportation-problem-using-different-ranking-method/dr-p-rajarajeswari

callforpaperarts, artsjournal, peerreviewedjournal

Transportation Problem is used on supply and demand of commodities transported from one source to the different destinations. Finding solution of Transportation Problems are North West Corner Rule, Least Cost Method and Vogel’s Approximation Method etc. In this paper Octagonal Fuzzy Numbers using Transportation problem by Best Candidates Method and Robust ranking method and Centroid Ranking Technique and Proposed Ranking Method. A Comparative study is Triangular Fuzzy Numbers and Trapezoidal Fuzzy Numbers and Octagonal Fuzzy Numbers. The transportation cost can be minimized by using of Proposed Ranking Method under Best Candidates Method. The procedure is illustrated with a numerical example. 

[ijtsrd]

RP 58 Formulation of Solutions of Standard Cubic Congruence of Composite Modulus A Product of Eight Multiple of an Odd Prime and Nth Power of Three

by Prof B M Roy "RP-58: Formulation of Solutions of Standard Cubic Congruence of Composite Modulus - A Product of Eight-Multiple of an Odd Prime & Nth Power of Three"

Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-4 | Issue-4 , June 2020,

URL: https://www.ijtsrd.com/papers/ijtsrd31566.pdf

Paper Url :https://www.ijtsrd.com/mathemetics/applied-mathamatics/31566/rp58-formulation-of-solutions-of-standard-cubic-congruence-of-composite-modulus--a-product-of-eightmultiple-of-an-odd-prime-and-nth-power-of-three/prof-b-m-roy

ugcapprovedmanagementjournal, openaccessjournalofmanagement, paperpublicationinmanagement

In this paper, a standard cubic congruence of even composite modulus a product eight multiple of an odd prime and nth power of three, is considered for solutions. The congruence is studied and formulation of its solution is established. The formulation is done in two cases with different formula of solutions. Using the formula, the finding of solutions becomes easy and time saving. Formulation is the merit of the paper. 

[ijtsrd]

The New Ranking Method using Octagonal Intuitionistic Fuzzy Unbalanced Transportation Problem

BY Dr. P. Rajarajeswari | G. Menaka "The New Ranking Method using Octagonal Intuitionistic Fuzzy Unbalanced Transportation Problem"

Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-4 | Issue-4 , June 2020,

URL: https://www.ijtsrd.com/papers/ijtsrd31675.pdf

Paper Url :https://www.ijtsrd.com/mathemetics/applied-mathamatics/31675/the-new-ranking-method-using-octagonal-intuitionistic-fuzzy-unbalanced-transportation-problem/dr-p-rajarajeswari

callforpapermathematics, mathematicsjournal, ugcapprovedjournalsinmathemetics

In this paper a new ranking method is proposed for finding an optimal solution for intuitionistic fuzzy unbalanced transportation problem, in which the costs, supplies and demands are octagonal intuitionistic fuzzy numbers. The procedure is illustrated with a numerical example. 

[ijtsrd]

Viscous and Ohmic Heating Effects on Hydromagnetic Convective Radiative Boundary Layer Flow Due to a Permeable Shrinking Surface with Internal Heat Generation

BY J. Wilfred Samuel Raj | S. P. Anjali Devi ""Viscous and Ohmic Heating Effects on Hydromagnetic Convective-Radiative Boundary Layer Flow Due to a Permeable Shrinking Surface with Internal Heat Generation""

Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-4 | Issue-3 , April 2020,

URL: https://www.ijtsrd.com/papers/ijtsrd30524.pdf

Paper Url :https://www.ijtsrd.com/mathemetics/applied-mathamatics/30524/viscous-and-ohmic-heating-effects-on-hydromagnetic-convectiveradiative-boundary-layer-flow-due-to-a-permeable-shrinking-surface-with-internal-heat-generation/j-wilfred-samuel-raj

internationaljournalsofcomputerscience, callforpapercomputerscience, ugcapprovedjournalsforcomputerscience

In this paper, the effects of viscous and Ohmic heating on magneto hydrodynamic forced convection flow due to a permeable shrinking surface in the presence of internal heat generation and radiation is investigated. The shrinking surface subjected to suction is prescribed with non uniform temperature which varies with the quadratic power of x. Momentum boundary layer equation takes into account of transverse magnetic field effect. Thermal boundary layer equation considered the effects of viscous and Ohmic heating due to transverse magnetic field, radiation and internal heat generation. Numerical results are obtained for various values of governing physical parameters. To access the accuracy of the numerical solution, the present results are checked against previously published work and the analytical solution of the problem obtained using Kummer’s function. Table values show that the analytical and numerical solutions are found to be in excellent agreement.