scholarly journals Dualities between Elzaki Transform and Some Useful Integral Transforms

2019 ◽  
Vol 8 (12) ◽  
pp. 4312-4318 ◽  
Keyword(s):  
Heat Transfer ◽  
Laplace Transform ◽  
Integral Transforms ◽  
Second Law ◽  
Electrical Networks ◽  
Carbon Dating ◽  
Motion Signal ◽  
Sumudu Transform ◽  
Basic Functions ◽  
Bending Of Beams

Integral transforms have wide applications in the various disciplines of engineering and science to solve the problems of heat transfer, springs, mixing problems, electrical networks, bending of beams, carbon dating problems, Newton’s second law of motion, signal processing, exponential growth and decay problems. In this paper, we will discuss the dualities between Elzaki transform and some useful integral transforms namely Laplace transform, Kamal transform, Aboodh transform, Sumudu transform, Mahgoub (Laplace-Carson) transform, Mohand transform and Sawi transform. To visualize the importance of dualities between Elzaki transform and mention integral transforms, we give tabular presentation of the integral transforms (Laplace transform, Kamal transform, Aboodh transform, Sumudu transform, Mahgoub transform, Mohand transform and Sawi transform) of mostly used basic functions by using mention dualities relations. Results show that the mention integral transforms are strongly related with Elzaki transform

scholarly journals Dualities between Laplace Transform and Some Useful Integral Transforms

2019 ◽  
Vol 9 (1) ◽  
pp. 936-941 ◽  
Keyword(s):  
Heat Transfer ◽  
Laplace Transform ◽  
Integral Transforms ◽  
Second Law ◽  
Electrical Networks ◽  
Carbon Dating ◽  
Motion Signal ◽  
Sumudu Transform ◽  
Basic Functions ◽  
Bending Of Beams

Integral transforms have wide applications in the various disciplines of engineering and science to solve the problems of heat transfer, springs, mixing problems, electrical networks, bending of beams, carbon dating problems, Newton’s second law of motion, signal processing, exponential growth and decay problems. In this paper, we will discuss the dualities between Laplace transform and some useful integral transforms namely Kamal transform, Elzaki transform, Aboodh transform, Sumudu transform, Mahgoub (Laplace-Carson) transform, Mohand transform and Sawi transform. To visualize the importance of dualities between Laplace transform and mention integral transforms, we give tabular presentation of the integral transforms (Kamal transform, Elzaki transform, Aboodh transform, Sumudu transform, Mahgoub transform, Mohand transform and Sawi transform) of mostly used basic functions by using mention dualities relations. Results show that the mention integral transforms are strongly related with Laplace transform.

scholarly journals Dualities between Laplace-Carson Transform and Some Useful Integral Transforms

2019 ◽  
Vol 8 (12) ◽  
pp. 1654-1659
Keyword(s):  
Heat Transfer ◽  
Laplace Transform ◽  
Integral Transforms ◽  
Second Law ◽  
Electrical Networks ◽  
Carbon Dating ◽  
Motion Signal ◽  
Sumudu Transform ◽  
Basic Functions ◽  
Bending Of Beams

Integral transforms have wide applications in the various disciplines of engineering and science to solve the problems of heat transfer, springs, mixing problems, electrical networks, bending of beams, carbon dating problems, Newton’s second law of motion, signal processing, exponential growth and decay problems. In this paper, we will discuss the dualities between Laplace-Carson transform and some useful integral transforms namely Laplace transform, Kamal transform, Aboodh transform, Sumudu transform, Elzaki transform, Mohand transform and Sawi transform. To visualize the importance of dualities between Laplace-Carson transform and mention integral transforms, we give tabular presentation of the integral transforms (Laplace transform, Kamal transform, Aboodh transform, Sumudu transform, Elzaki transform, Mohand transform and Sawi transform) of mostly used basic functions by using mention dualities relations. Results show that the mention integral transforms are strongly related with Laplace-Carson transform.

scholarly journals Dualities between Mohand Transform and Some Useful Integral Transforms

2019 ◽  
Vol 8 (3) ◽  
pp. 843-847
Keyword(s):  
Signal Processing ◽  
Laplace Transform ◽  
Exponential Growth ◽  
Integral Transforms ◽  
Second Law ◽  
Electrical Networks ◽  
Carbon Dating ◽  
Sumudu Transform ◽  
Basic Functions ◽  
Bending Of Beams

Integral transforms have wide applications in the different areas of engineering and science to solve the problems of springs, Newton’s law of cooling, electrical networks, bending of beams, mixing problems, signal processing, carbon dating problems, Newton’s second law of motion, exponential growth and decay problems. In this paper, we will discuss the dualities of some useful integral transforms namely Laplace transform, Kamal transform, Elzaki transform, Aboodh transform, Sumudu transform, Mahgoub (Laplace- Carson) transform and Sawi transform with Mohand transform. To visualize the importance of dualities between Mohand transform and mention integral transforms, we give tabular presentation of the integral transforms (Laplace transform, Kamal transform, Elzaki transform, Aboodh transform, Sumudu transform, Mahgoub transform and Sawi transform) of mostly used basic functions by using mention dualities relations.

scholarly journals Dualities between Some Useful Integral Transforms and Sawi Transform

2019 ◽  
Vol 8 (3) ◽  
pp. 5978-5982
Keyword(s):  
Signal Processing ◽  
Laplace Transform ◽  
Exponential Growth ◽  
Integral Transforms ◽  
Electrical Networks ◽  
Carbon Dating ◽  
Newton’S Law ◽  
Sumudu Transform ◽  
Basic Functions ◽  
Bending Of Beams

Integral transforms have a number of applications in the different fields of engineering and science to solve the problems of Newton’s law of cooling, signal processing, electrical networks, bending of beams, springs, mixing problems, carbon dating problems exponential growth and decay problems. In this paper, we will discuss the dualities of some useful integral transforms namely Laplace transform, Kamal transform, Elzaki transform, Aboodh transform, Sumudu transform, Mahgoub (Laplace-Carson) transform and Mohand transform with Sawi transform. To visualize the importance of dualities between mention integral transforms with Sawi transform, we give tabular presentation of the integral transforms (Laplace transform, Kamal transform, Elzaki transform, Aboodh transform, Sumudu transform, Mahgoub transform and Mohand transform) of mostly used basic functions by using mention dualities relations. Results show that the mention integral transforms are strongly related to each others

scholarly journals Connections between Aboodh Transform and Some Effective Integral Transforms

2019 ◽  
Vol 9 (1) ◽  
pp. 1465-1470
Keyword(s):  
Heat Transfer ◽  
Signal Processing ◽  
Laplace Transform ◽  
Integral Transforms ◽  
Research Paper ◽  
Electrical Networks ◽  
Sumudu Transform ◽  
Transfer Problems ◽  
Bending Of Beams

Integral transforms are the most useful techniques of the mathematics which are used to finding the solution of heat transfer problems, mixing problems, electrical networks, bending of beams, signal processing problems, which generally appears in the various disciplines of engineering and sciences. In this research paper, connections between Aboodh transform and some effective integral transforms (Laplace transform, Kamal transform, Elzaki transform, Sumudu transform, Mahgoub transform, Mohand transform and Sawi transform) are discussed and integral transforms of some typical functions are given in table form in application section to signify the fruitfulness of connections between Aboodh transform and some effective mention integral transforms.

scholarly journals Role of Some Integral Transforms in Cryptography

2020 ◽  
Vol 9 (3) ◽  
pp. 376-380
Keyword(s):  
Laplace Transform ◽  
Integral Transforms ◽  
Cosine Function ◽  
Cipher Text ◽  
Encryption And Decryption ◽  
Sumudu Transform

There are so many methods for the process of cryptography in literature. In this paper we present encryption and decryption method by using Laplace transform &Sumudu transform and their inverses. The purpose of using this method is for more security in communication as compared to other methods because cipher text obtained by this method could not be cracked by other persons easily. In the first part we apply Laplace transform to trigonometric cosine function for Sumudu transform for the same purpose.Fiinally we conclude by comparing these two methods

scholarly journals Applications of the Fourier-like integral transform in the wave and heat-transfer problems

2019 ◽  
Vol 23 (Suppl. 3) ◽  
pp. 703-709
Author(s):  
Shanjie Su ◽  
Feng Gao ◽  
Zekai Wang ◽  
Menglin Du
Keyword(s):  
Heat Transfer ◽  
Wave Equation ◽  
Transfer Equation ◽  
Integral Transform ◽  
Integral Transforms ◽  
Heat Transfer Equation ◽  
Basic Functions ◽  
Transfer Problems ◽  
D Wave

In this article, some new properties of a novel integral transform termed the Fourier-Yang are explored. The Fourier-Yang integral transforms of several basic functions are given firstly. With the aid of the new integral transform, a 1-D wave equation and 2-D heat transfer equation are solved. The results show that the Fourier-Yang integral transform is efficient in solving PDE.

scholarly journals Integral Transform Methods for Solving Fractional Dynamic Equations on Time Scales

2014 ◽  
Vol 2014 ◽  
pp. 1-10
Author(s):  
Mohamad Rafi Segi Rahmat
Keyword(s):  
Laplace Transform ◽  
Time Scales ◽  
Time Scale ◽  
Integral Transform ◽  
Integral Transforms ◽  
Dynamic Equations ◽  
Transform Methods ◽  
Sumudu Transform ◽  
General Time

We introduce nabla type Laplace transform and Sumudu transform on general time scale. We investigate the properties and the applicability of these integral transforms and their efficiency in solving fractional dynamic equations on time scales.

scholarly journals Analytical Assessment of (Al2O3–Ag/H2O) Hybrid Nanofluid Influenced by Induced Magnetic Field for Second Law Analysis with Mixed Convection, Viscous Dissipation and Heat Generation

Coatings ◽  
2021 ◽  
Vol 11 (5) ◽  
pp. 498
Author(s):  
Wasim Ullah Khan ◽  
Muhammad Awais ◽  
Nabeela Parveen ◽  
Aamir Ali ◽  
Saeed Ehsan Awan ◽  
...  
Keyword(s):  
Heat Transfer ◽  
Viscous Dissipation ◽  
Entropy Generation ◽  
Heat Generation ◽  
Transfer Rate ◽  
Second Law ◽  
Hybrid Nanofluid ◽  
Entropy Generation Number ◽  
Generation Number ◽  
Second Law Analysis

The current study is an attempt to analytically characterize the second law analysis and mixed convective rheology of the (Al2O3–Ag/H2O) hybrid nanofluid flow influenced by magnetic induction effects towards a stretching sheet. Viscous dissipation and internal heat generation effects are encountered in the analysis as well. The mathematical model of partial differential equations is fabricated by employing boundary-layer approximation. The transformed system of nonlinear ordinary differential equations is solved using the homotopy analysis method. The entropy generation number is formulated in terms of fluid friction, heat transfer and Joule heating. The effects of dimensionless parameters on flow variables and entropy generation number are examined using graphs and tables. Further, the convergence of HAM solutions is examined in terms of defined physical quantities up to 20th iterations, and confirmed. It is observed that large λ1 upgrades velocity, entropy generation and heat transfer rate, and drops the temperature. High values of δ enlarge velocity and temperature while reducing heat transport and entropy generation number. Viscous dissipation strongly influences an increase in flow and heat transfer rate caused by a no-slip condition on the sheet.

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