ISSN: 2455-7064

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ASIO Journal of Chemistry, Physics, Mathematics & Applied Sciences (ASIO-JCPMAS)

Volume 4, Issue 1, 2020, 21-23

Doi: 10.2016-28457823/ DOI Link :: http://doi-ds.org/doilink/06.2020-33991644/

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APPLICATIONS OF ELZAKI TRANSFORM TO ELECTRICAL NETWORK CIRCUITS WITH DELTA FUNCTION

Dinesh Verma1, Rohit Gupta2

1Associate Professor of Mathematics, Department of Applied Sciences, Yogananda College of Engineering and Technology (YCET),

Jammu, India 2 Lecturer Physics, Department of Applied Sciences, Yogananda College of Engineering and Technology (YCET), Jammu, India

ARTICLE INFO ABSTRACT

Article History Received: 1st May, 2020 Accepted: 30th May, 2020

Corresponding Author: † Dr. Dinesh Verma Email:drdinesh.maths@gmail.com

The electrical network circuits with delta function are generally solved by

adopting Laplace transform method. The paper inquires the electrical network

circuits with delta function by Elzaki transform technique. The purpose of paper

is to prove the applicability of Elzaki transform to analyze electrical network

circuits with delta function.

Keywords: Elzaki Transform, Electrical Network Circuit, Delta Function.

© www.albertscience.com, All Right Reserved. † Associate Professor, Yogananda

College of Engineering & Technology, Jammu

1. INTRODUCTION Elzaki Transform approach has been applied in solving boundary value problems in most of the science and engineering disciplines [1-7]. It also comes out to be very effective tool to analyze the boundary value problems in engineering and science which are generally solved by adopting different integral transforms and methods [8- 30]. It also comes out to be very effective tool to analyze the electrical network circuits with delta function. In this paper, a new approach called Elzaki transform technique is presented to analyze electrical network circuits with delta function.

2. BASIC DEFINITIONS

2.1 Elzaki Transform If the function y ≥ 0 is having an exponential order

and is a piecewise continuous function on any interval,

then the Elzaki transform of is given by

The Elzaki Transform [1, 2, 3] of some of the functions

are given by

2.2 Inverse Elzaki Transform

The Inverse Elzaki Transform of some of the functions

are given by

E-1{ } =

E-1{ } =

E-1{ }=

E-1{ } =

E-1{ }=

E-1{ } =

Dinesh Verma et al. / ASIO Journal of Chemistry, Physics, Mathematics & Applied Sciences (ASIO-JCPMAS), 4(1), 2020: 21-23

Doi: 10.2016-28457823/ DOI Link :: http://doi-ds.org/doilink/06.2020-33991644/

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2.3 Elzaki Transform of Derivatives

The Elzaki Transform [1, 2, 3] of some of the Derivatives

of are given by

APPLICATION I:

E{

APPLICATION II:

E {

APPLICATION III:

3. CONCLUSION In this paper, we have analyzed the electrical network

circuits with delta function by Elzaki Transform

technique. It may be finished that the technique is

accomplished in analyzing the electrical network circuits

with delta function.

REFRENCES [1] Dinesh Verma, Elzaki Transform Approach to Differential

Equations with Leguerre Polynomial, International Research Journal of Modernization in Engineering Technology and Science (IRJMETS), Volume-2, Issue-3, March 2020, pp. 244-248.

[2] Dinesh Verma, Aftab Alam, Analysis of Simultaneous Differential Equations by Elzaki Transform Approach, Science, Technology And Development Volume Ix, Issue 1, January 2020, pp. 364-367.

[3] Sunil Shrivastava, Introduction of Laplace Transform and Elzaki Transform with Application (Electrical Circuits),International Research Journal of Engineering and Technology (IRJET), Volume 05 Issue 02 , Feb-2018, pp. 675-679.

[4] Tarig M. Elzaki, Salih M. Elzaki and Elsayed Elnour, On the new integral transform Elzaki transform fundamental properties investigations and applications, global journal

Dinesh Verma et al. / ASIO Journal of Chemistry, Physics, Mathematics & Applied Sciences (ASIO-JCPMAS), 4(1), 2020: 21-23

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of mathematical sciences: Theory and Practical, volume 4, number 1(2012), pp. 1-13.

[5] Dinesh Verma, Elzaki Transform of some significant Infinite Power Series, International Journal of Advance Research and Innovative Ideas in Education (IJARIIE), Volume-6, Issue-1, February 2020, pp. 1201-1209.

[6] Rohit Gupta, Neeraj Pandita, Rahul Gupta, Heat conducted through a parabolic fin via Means of Elzaki transform, Journal of Engineering Sciences, Vol. 11, Issue 1, JAN. 2020, pp. 533-535.

[7] Rohit Gupta, Neeraj Pandita, Dinesh Verma, Conduction of heat through the thin and straight triangular fin, ASIO Journal of Engineering & Technological Perspective Research (ASIO-JETPR), Volume 5, Issue 1, 2020, 01-03.

[8] Rohit Gupta, Amit Pal Singh, Dinesh Verma, Flow of Heat through A Plane Wall, And Through A Finite Fin Insulated At the Tip, International Journal of Scientific & Technology Research, Volume 8 Issue 10, October 2019, pp. 125-128.

[9] Dinesh Verma and Rahul Gupta, Delta Potential Response of Electric Network Circuit, Iconic Research and Engineering Journal (IRE), Volume-3, Issue-8, February 2020, pp. 155-157.

[10] Dinesh Verma and Amit Pal Singh, Applications of Inverse Laplace Transformations, Compliance Engineering Journal, Volume-10, Issue-12, December 2019, pp. 305-308.

[11] Dinesh Verma, A Laplace Transformation approach to Simultaneous Linear Differential Equations, New York Science Journal, Volume-12, Issue-7, July 2019, pp. 58-61.

[12] Dinesh Verma, Signification of Hyperbolic Functions and Relations, International Journal of Scientific Research & Development (IJSRD), Volume-07, Issue-5, 2019, pp. 1-3.

[14] Dinesh Verma and Amit Pal Singh, Solving Differential Equations Including Leguerre Polynomial via Laplace Transform, International Journal of Trend in scientific Research and Development (IJTSRD), Volume-4, Issue-2, February 2020, pp. 1016-1019.

[15] Dinesh Verma, Rohit Gupta and Amit Pal Singh, Analysis of Integral Equations of convolution via Residue Theorem Approach, International Journal of analytical and experimental modal” Volume-12, Issue-1, January 2020, pp. 1565-1567.

[16] Dinesh Verma and Rohit Gupta, A Laplace Transformation of Integral Equations of Convolution Type, International Journal of Scientific Research in Multidisciplinary Studies, Volume 5, Issue 9, September 2019, pp.94-96.

[17] Dinesh Verma, A Useful technique for solving the differential equation with boundary values, Academia Arena, Volume-11, Issue-2, 2019, pp. 77-79.

[18] Dinesh Verma, Relation between Beta and Gamma function by using Laplace Transformation, Researcher Volume-10, Issue-7, 2018, pp. 72-74.

[19] Dinesh Verma, An overview of some special functions, International Journal of Innovative Research in Technology (IJIRT), Volume-5, Issue-1, June 2018, pp. 656-659.

[20] Dinesh Verma, Applications of Convolution Theorem, International Journal of Trend in Scientific Research and Development (IJTSRD)” Volume-2, Issue-4, May-June 2018, pp. 981-984.

[21] Dinesh Verma, Solving Fourier Integral Problem by Using Laplace Transformation, International Journal of Innovative Research in Technology (IJIRT), Volume-4, Issue-11, April 2018, pp. 1786-1788.

[22] Dinesh Verma ,Applications of Laplace Transformation for solving Various Differential equations with variable co-efficient, International Journal for Innovative Research in Science and Technology (IJIRST), Volume-4, Issue-11, April 2018, pp. 124-127.

[23] Rohit Gupta, Dinesh Verma and Amit Pal Singh, Double Laplace Transform Approach to the Electric Transmission Line with Trivial Leakages through electrical insulation to the Ground, Compliance Engineering Journal, Volume 10, Issue 12, December 2019, pp. 301-304.

[24] Rohit Gupta, Rahul Gupta, Heat Dissipation From The Finite Fin Surface Losing Heat At The Tip, International Journal of Research and Analytical Reviews, Volume 5, Issue 3, September 2018, pp. 138-143.

[25] Rohit Gupta, Rahul Gupta, Dinesh Verma, Laplace Transform Approach for the Heat Dissipation from an Infinite Fin Surface, Global Journal Of Engineering Science And Researches, 6(2) February 2019, pp. 96-101.

[26] Rahul Gupta, Rohit Gupta, Dinesh Verma, Total scattering cross-section of Low Energy Particles Scattered by Perfectly Rigid Sphere, Compliance Engineering Journal, Volume 10, Issue 12, 2019, pp. 477-479.

[27] Rahul Gupta, Rohit Gupta, Dinesh Verma, Application of Convolution Method to the Impulsive Response of A Lightly Damped Harmonic Oscillator, International Journal of Scientific Research in Physics and Applied Sciences ,Vol.7, Issue.3, pp. 173-175, June 2019.

[28] Rohit Gupta, Loveneesh Talwar, Dinesh Verma, Exponential Excitation Response of Electric Network Circuits via Residue Theorem Approach, International Journal of Scientific Research in Multidisciplinary Studies, volume 6, issue 3, March 2020, pp. 47-50.

[29] Rahul Gupta, Rohit Gupta, Dinesh Verma, “Propounding a New Integral Transform: Gupta Transform with Applications in Science and Engineering”, International Journal of Scientific Research in Multidisciplinary Studies, volume 6, issue 3, March 2020, pp. 14-19.

[30] Dinesh Verma, “Putting Forward a Novel Integral Transform: Dinesh Verma Transform (DVT) and Its Applications”, International Journal of Scientific Research in Multidisciplinary Studies, Volume 7, Issue 2, April 2020, pp. 139-145.