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JOURNALS || ASIO Journal of Chemistry, Physics, Mathematics & Applied Sciences (ASIO-JCPMAS) [ISSN: 2455-7064 ]
ON NOVEL INTEGRAL TRANSFORM: ROHIT TRANSFORM AND ITS APPLICATION TO BOUNDARY VALUE PROBLEMS

Author Names : Rohit Gupta
Page No. : 08-13  Volume 4 Issue 1
Article Overview

Abstract: In this paper, a novel integral transform named Rohit Transform (RT) is proposed. The operational properties of Rohit Transform (RT) are discussed. The Rohit Transform (RT) of elementary functions and some of the derivatives of a function are obtained. The boundary value problems in Science and Engineering are analyzed by the application of Rohit Transform (RT).

Index Terms: Rohit Transform (RT), Boundary Value Problems.

Reference

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[9] Mr. Kharde Uttam Dattu, New Integral Transform: Fundamental Properties, Investigations and Applications, IAETSD Journal for Advanced Research in Applied Sciences, volume 5, issue 4, April 2018, pp. 534-539.

[10] 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.

[11] 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.

[12] 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.

[13] 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.

[14] 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.

[15] Rahul gupta and Rohit gupta, “Laplace Transform method for obtaining the temperature distribution and the heat flow along a uniform conducting rod connected between two thermal reservoirs maintained at different temperatures, Pramana Research Journal, Volume 8, Issue 9, 2018, pp. 47-54.

[16] P. Senthil Kumar, A. Viswanathan, Applications of Mahgoub Transform to Mechanics, Electrical Circuit Problems, International Journal of Science and Research (IJSR), Volume 7 Issue 7, July 2018, pp. 195-197.

[17] P. Senthil Kumar, S. Vasuki, Applications of Aboodh Transform to Mechanics, Electrical Circuit Problems, International Journal for Research in Engineering Application & Management (IJREAM), Vol-04, Issue-06, Sep 2018, pp. 367-369.

[18] Rohit Gupta, Loveneesh Talwar, Rahul Gupta, Analysis of ?-?-? network circuit with steady voltage source, and with steady current source via convolution method, International journal of scientific & technology research, volume 8 Issue 11, November 2019, pp. 803-807.

[19] Rohit Gupta, Rahul Gupta, Sonica Rajput, Convolution Method for the Complete Response of a Series ?-? Network Connected to an Excitation Source of Sinusoidal Potential, International Journal of Research in Electronics And Computer Engineering, IJRECE Vol. 7, issue 1 (January- March 2019), pp. 658-661.

[20] Dinesh Verma, Yuvraj Singh, Rohit Gupta, Response of Electrical Networks with Delta Potential via Mohand Transform, International Research Journal of Innovations Engineering and Technology, volume 2, issue 2, pp. 41-43, February 2020.

[21] Rohit Gupta, Tarun Singhal, Dinesh Verma, Quantum mechanical reflection and transmission coefficients for a particle through a one-dimensional vertical step potential, International Journal of Innovative Technology and Exploring Engineering, Volume-8 Issue-11, September 2019, pp. 2882-2886.

[22] Rohit Gupta, Rahul Gupta, Dinesh Verma, Eigen Energy Values and Eigen Functions of a Particle in an Infinite Square Well Potential by Laplace Transforms, International Journal of Innovative Technology and Exploring Engineering, Volume 8 Issue 3, January 2019, pp. 6-9.

[23] Rohit Gupta, Anamika Singh, Rahul Gupta, Quantum Theory of One Dimensional Free Electron Gas By Means Of Residue Theorem, Compliance Engineering Journal, Volume 10, Issue 12, 2019, pp. 474-476.

[24] 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.

[25] 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.

[26] Rohit Gupta , Rahul Gupta, Residue approach to mathematical analysis of the moving coil galvanometer, International Journal of Advanced Trends in Engineering and Technology, Volume 4, Issue 1, 2019, pp. 6-10.

[27] Rohit Gupta, Rahul Gupta, Sonica Rajput, Laplace Transforms Approach for the Velocity Distribution and Shear Stress Distribution of a Unidirectional Laminar Flow, International Journal for Research in Engineering Application & Management (IJREAM), Vol-04, Issue-09, Dec 2018, pp. 25-29.

[28] 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.

 [29] 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.

[30] Dinesh Verma, Aftab Alam, Analysis of Simultaneous Differential Equations By Elzaki Transform Approach, Science, Technology And Development Volume IX Issue I January 2020, pp. 364-367.

[31] 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.

[32] Rohit Gupta, Anamika Singh, Rahul Gupta, Response of Network Circuits Connected to Exponential Excitation Sources, International Advanced Research Journal in Science, Engineering and Technology, Vol. 7, Issue 2, February 2020, pp. 14-17.