scholarly journals Gupta Transform Approach to the Series RL and RC Networks with Steady Excitation Sources

2021 ◽  
Vol 8 (2) ◽  
Author(s):  
Rahul Gupta ◽  
Rohit Gupta ◽  
Loveneesh Talwar
Keyword(s):  
Laplace Transform ◽  
Electric Current ◽  
Integral Transform ◽  
Complete Response ◽  
Convolution Theorem ◽  
Excitation Source ◽  
Voltage Source ◽  
Residue Theorem ◽  
Electric Networks ◽  
Rc Networks

The analysis of electric networks circuits is an essential course in engineering. The response of such networks is usually obtained by mathematical approaches such as Laplace Transform, Calculus Approach, Convolution Theorem Approach, Residue Theorem Approach. This paper presents a new integral transform called Gupta Transform for obtaining the complete response of the series RL and RC networks circuits with a steady voltage source. The response obtained will provide electric current or charge flowing through series RL and RC networks circuits with a steady voltage source. In this paper, the response of the series RL and RC networks circuits with steady excitation source is provided as a demonstration of the application of the new integral transform called Gupta Transform.

INTEGRAL TRANSFORM OF K4-FUNCTION

2021 ◽  
Vol 21 (2) ◽  
pp. 429-436
Author(s):  
SEEMA KABRA ◽  
HARISH NAGAR
Keyword(s):  
Laplace Transform ◽  
Hypergeometric Function ◽  
Integral Transform ◽  
Integral Transforms ◽  
Gauss Hypergeometric Function ◽  
Wright Function ◽  
Generalized Wright Function ◽  
Special Cases ◽  
Euler Transform

In this present work we derived integral transforms such as Euler transform, Laplace transform, and Whittaker transform of K4-function. The results are given in generalized Wright function. Some special cases of the main result are also presented here with new and interesting results. We further extended integral transforms derived here in terms of Gauss Hypergeometric function.

scholarly journals Laplace–Elzaki Transform and its Properties with Applications to Integral and Partial Differential Equations: تحويل لابلاس-الزاكي وخواصه مع تطبيقاته على المعادلات التكاملية والتفاضلية الجزئية

2019 ◽  
Vol 3 (2) ◽  
Author(s):  
Safaa Adnan Shaikh Al-Sook, Mohammad Mahmud Amer
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Integral Transform ◽  
Convolution Theorem ◽  
Double Integral ◽  
Partial Differential ◽  
Function Of Two Variables

  Laplace-Elzaki transform (LET) as a double integral transform of a function  of two variables was presented to solve some integral and partial differential equations. Main properties and theorems were proved. The convolution of two function  and  and the convolution theorem were discussed. The integral and partial differential equations were turned to algebraic ones by using (LET) and its properties. The results showed that the Laplace-Elzaki transform was more efficient and useful to handle such these kinds of equations.    

scholarly journals Alenezi Transform–A New Transform to Solve Mathematical Problems

2021 ◽  
pp. 1-8
Author(s):  
Ahmad M. Alenezi
Keyword(s):  
Laplace Transform ◽  
Integral Equations ◽  
Integral Transform ◽  
The Other ◽  
The Laplace Transform ◽  
Mathematical Problems ◽  
Sumudu Transforms

In this paper, we present a new integral transform called Alenezi-transform in the category of Laplace transform. We investigate the characteristic of Alenezi-transform. We discuss this transform with the other transforms like J, Laplace, Elzaki and Sumudu transforms. We can demonstrate that Alenezi transforms are near to the condition of the Laplace transform. We can explain the new Properties of transforms using Alenezi transform. Alenezi transform can be applied to solve differential, Partial and integral equations.

A Residue Calculus of Isolated Singular Zero Point and Its Application in Z Transform

2015 ◽  
Vol 24 (03) ◽  
pp. 1550033
Author(s):  
Zong-Chang Yang
Keyword(s):  
Signal Processing ◽  
Laplace Transform ◽  
Functional Form ◽  
Zero Point ◽  
Inverse Laplace Transform ◽  
Residue Theorem ◽  
New Formula

The residue theorem is a powerful tool in mathematics and signal processing, such as it is usually employed for the inverse Laplace transform and the inverse Z transform. With respect to the most commonly rational functional form in the Z transform, a theorem and a new formula for residue calculus based on the singular zero point is introduced. Then two consequences are proposed. Finally, based on the derived theorems, a new convenient algorithm for computing the inverse Z transform is presented. Applications with satisfying results indicate convenience and workability of the proposed method.

scholarly journals The inversion of a transform related to the Laplace transform and to heat conduction

1964 ◽  
Vol 4 (1) ◽  
pp. 1-14 ◽  
Author(s):  
David V. Widder
Keyword(s):  
Heat Conduction ◽  
Fundamental Solution ◽  
Heat Equation ◽  
Laplace Transform ◽  
Physical Interpretation ◽  
Integral Transform ◽  
The Laplace Transform ◽  
Image Position

In a recent paper [7] the author considered, among other things, the integral transform where is the fundamental solution of the heat equation There we gave a physical interpretation of the transform (1.1). Here we shall choose a slightly different interpretation, more convenient for our present purposes. If then u(O, t) = f(t). That is, the function f(t) defined by equation (1.1) is the temperature at the origin (x = 0) of an infinite bar along the x-axis t seconds after it was at a temperature defined by the equation .

scholarly journals More Properties of Fractional Proportional Differences

2021 ◽  
Vol 2 (1) ◽  
pp. 72-90
Author(s):  
Thabet Abdeljawad ◽  
Iyad Suwan ◽  
Fahd Jarad ◽  
Ammar Qarariyah
Keyword(s):  
Laplace Transform ◽  
Time Scale ◽  
Convolution Theorem ◽  
Fractional Operators

The main aim of this paper is to clarify the action of the discrete Laplace transform on the fractional proportional operators. First of all, we recall the nabla fractional sums and differences and the discrete Laplace transform on a time scale equivalent to $h\mathbb{Z}$. The discrete $h-$Laplace transform and its convolution theorem are then used to study the introduced discrete fractional operators.

scholarly journals Complete Response of Linear Circuits to Periodic Nonsinusoidal Input in MATLAB

2020 ◽  
Vol 5 (3) ◽  
pp. 70-74
Author(s):  
Iveta Tomčíková
Keyword(s):  
Laplace Transform ◽  
Complete Response ◽  
Complex Frequency ◽  
Analysis Technique ◽  
Periodic Input ◽  
The Laplace Transform ◽  
Linear Circuits ◽  
The Given

The paper deals with the proposal for finding<br />the complete response of dynamic linear circuits to a<br />periodic nonsinusoidal input in the MATLAB environment.<br />A very powerful tool for solving the given problem is to<br />transform the circuits directly into the complex frequency<br />domain using the Laplace transform and then apply the<br />sparse tableau analysis technique to solve them. Applying<br />above-mentioned methods in the MATLAB environment, it<br />is not difficult to find the complete response of dynamic<br />linear circuits to the periodic input.

scholarly journals Mathematical modeling of chilling process of polymer tube billets

2020 ◽  
Vol 8 (2) ◽  
pp. 24-33
Author(s):  
I. Kuzyayev ◽  
◽  
O. Mitrokhin ◽  
I. Kazimirov ◽  
◽  
...  
Keyword(s):  
Mathematical Model ◽  
Laplace Transform ◽  
Integral Transform ◽  
Extrusion Process ◽  
Polymer Processing ◽  
Heating Process ◽  
Transform Method ◽  
Polymer Tube ◽  
Main Components ◽  
The Mathematical Model

There are many works about producing of polymer tubes. But less attention is paid to the process of chilling of polymer products. The chilling of polymer tube billets, as most polymer processing processes, is a non-isothermal process. This means that it is necessary to solve the heat problem. Accurate calculation of the heat balance is one of the main components for the final result of the extrusion process. The mathematical model had been created for process of chilling of polymer tube billets after extrusion in this work. Several mathematical models of heating process for heat and power equipment have been created. Different calculation schemes, methods and equations for its solution are suggested. The mathematical model for process of chilling of polymer tube billets after it extrusion can be considered an expansion of research. The mathematical model is based on cylindrical coordinate system with assumption of axisymmetric along angular coordinate. The initial problem statement considered non-stationary process. A transition was made to the differential equation in partial derivatives along two linear coordinates. Solution of this equation was found using the operation method (Laplace integral transform method). The final solution of the problem (after direct and reverse Laplace transform) was obtained from the Bessel function. It was calculated in MathCAD with the help of built-in functions and computing modules. The mathematical model was created for modeling and optimization of process of chilling of polymer tube billets. The results of calculation were presented as graphs that make it possible to characterize the adequacy of the materials. Keywords: mathematical model, balance equation, Laplace transform, program block.

scholarly journals Development of Virtual Resistance Meters using LabVIEW

2018 ◽  
Vol 8 (1) ◽  
pp. 133 ◽  
Author(s):  
Suman Lata ◽  
H. K. Verma ◽  
Puja Kumari
Keyword(s):  
Data Acquisition ◽  
Virtual Instrument ◽  
Current Source ◽  
Excitation Source ◽  
Voltage Source ◽  
Dc Voltage ◽  
Labview Software ◽  
Final Measurement ◽  
Data Acquisition Card ◽  
Dc Current

This paper presents the development of three virtual resistance meters using LabVIEW. The unknown resistance is measured in terms of a known resistance of high accuracy by employing (a) a real dc voltage source, (b) a real dc current source, and (c) a virtual dc voltage source. In each case, ratio of two voltage signals is acquired by a single-ADC based multichannel data acquisition card. Therefore error of the ADC gets cancelled, when ratio of two voltages is used in the final calculation of the value of unknown resistance. The first two VRMs use a real excitation source and are thus semi-virtual instruments, whereas the third one is fully-virtual as the excitation source is also implemented in the LabVIEW software along with DAC section of the data acquisition card. The three virtual resistance meters have been successfully implemented. The principle of ratio-metric measurement used makes the accuracy (uncertainty) of final measurement free from the uncertainties of the ADC, the DAC and the excitation source. Standard deviations of the readings taken with the three VRMs have been evaluated and compared. It is concluded that the fully-virtual instrument has the lowest and excellent value of standard deviation.

scholarly journals Solution of Integral Differential Equations by New Double Integral Transform (Laplace–Sumudu Transform)

2020 ◽  
Vol 2020 ◽  
pp. 1-7
Author(s):  
Shams A. Ahmed ◽  
Tarig M. Elzaki ◽  
Abdelgabar Adam Hassan
Keyword(s):  
Differential Equations ◽  
Integral Transform ◽  
Convolution Theorem ◽  
Double Integral ◽  
Sumudu Transform ◽  
Integral Differential Equations

The primary purpose of this research is to demonstrate an efficient replacement double transform named the Laplace–Sumudu transform (DLST) to unravel integral differential equations. The theorems handling fashionable properties of the Laplace–Sumudu transform are proved; the convolution theorem with an evidence is mentioned; then, via the usage of these outcomes, the solution of integral differential equations is built.

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