scholarly journals The Comparative Study for Solving Fractional-Order Fornberg–Whitham Equation via ρ-Laplace Transform

Symmetry ◽  
2021 ◽  
Vol 13 (5) ◽  
pp. 784
Author(s):  
Pongsakorn Sunthrayuth ◽  
Ahmed M. Zidan ◽  
Shao-Wen Yao ◽  
Rasool Shah ◽  
Mustafa Inc
Keyword(s):  
Comparative Study ◽  
Laplace Transform ◽  
Fractional Order ◽  
Graphical Representation ◽  
Computational Techniques ◽  
Decomposition Techniques ◽  
Whitham Equations ◽  
Adomian Decomposition ◽  
The Comparative Study ◽  
Whitham Equation

In this article, we also introduced two well-known computational techniques for solving the time-fractional Fornberg–Whitham equations. The methods suggested are the modified form of the variational iteration and Adomian decomposition techniques by ρ-Laplace. Furthermore, an illustrative scheme is introduced to verify the accuracy of the available methods. The graphical representation of the exact and derived results is presented to show the suggested approaches reliability. The comparative solution analysis via graphs also represented the higher reliability and accuracy of the current techniques.

scholarly journals Analytical Analysis of Fractional-Order Physical Models via a Caputo-Fabrizio Operator

2021 ◽  
Vol 2021 ◽  
pp. 1-9
Author(s):  
Fatemah Mofarreh ◽  
A. M. Zidan ◽  
Muhammad Naeem ◽  
Rasool Shah ◽  
Roman Ullah ◽  
...  
Keyword(s):  
Laplace Transform ◽  
Fractional Order ◽  
Decomposition Method ◽  
Adomian Decomposition Method ◽  
Physical Models ◽  
Heat Equations ◽  
Transform Method ◽  
Adomian Decomposition ◽  
The Laplace Transform ◽  
The Given

This paper investigates a modified analytical method called the Adomian decomposition transform method for solving fractional-order heat equations with the help of the Caputo-Fabrizio operator. The Laplace transform and the Adomian decomposition method are implemented to obtain the result of the given models. The validity of the proposed method is verified by considering some numerical problems. The solution achieved has shown that the better accuracy of the suggested method. Furthermore, due to the straightforward implementation, the proposed method can solve other nonlinear fractional-order problems.

scholarly journals A Comparative Study On McPherson Strut Suspension System And Double Wishbone Suspension System

2020 ◽  
pp. 260-264
Keyword(s):  
Structural Analysis ◽  
Comparative Study ◽  
Kinematic Analysis ◽  
Graphical Representation ◽  
Suspension System ◽  
Ansys Simulation ◽  
System A ◽  
The Comparative Study ◽  
Static And Dynamic Loading ◽  
Comfortable Ride

Now a days, the two most commonly used suspension system in automobiles are the McPherson Strut uspension System and Double Wishbone Suspension System. A vehicle is provided with the suspension system in order to provide a comfortable ride to the passengers and to avoid additional stresses in the vehicle frame. This paper contains the comparative study between McPherson Strut Suspension System and Double Wishbone Suspension System. The comparison is obtained by considering various parameters like Basic differences of the system their Geometry, Kinematic Analysis, ANSYS Simulation which includes structural analysis with static and dynamic loading, Graphical representation of Wheel position vs Camber.

scholarly journals A Novel Analytical Approach for the Solution of Fractional-Order Diffusion-Wave Equations

2021 ◽  
Vol 5 (4) ◽  
pp. 206
Author(s):  
Saima Mustafa ◽  
Hajira ◽  
Hassan Khan ◽  
Rasool Shah ◽  
Saadia Masood
Keyword(s):  
Boundary Value Problems ◽  
Fractional Order ◽  
Wave Equations ◽  
Graphical Representation ◽  
Boundary Value ◽  
Research Work ◽  
Adomian Decomposition Method ◽  
Diffusion Wave ◽  
Adomian Decomposition ◽  
Present Technique

In the present note, a new modification of the Adomian decomposition method is developed for the solution of fractional-order diffusion-wave equations with initial and boundary value Problems. The derivatives are described in the Caputo sense. The generalized formulation of the present technique is discussed to provide an easy way of understanding. In this context, some numerical examples of fractional-order diffusion-wave equations are solved by the suggested technique. It is investigated that the solution of fractional-order diffusion-wave equations can easily be handled by using the present technique. Moreover, a graphical representation was made for the solution of three illustrative examples. The solution-graphs are presented for integer and fractional order problems. It was found that the derived and exact results are in good agreement of integer-order problems. The convergence of fractional-order solution is the focus point of the present research work. The discussed technique is considered to be the best tool for the solution of fractional-order initial-boundary value problems in science and engineering.

Pandhawa Gubah sebagai Representasi Interaksi Metafisik Manusia Jawa dan Perbandingannya dengan Cheritera Pandawa Lima

Manuskripta ◽  
2020 ◽  
Vol 10 (1) ◽  
pp. 67
Author(s):  
Novarina Novarina
Keyword(s):  
Comparative Study ◽  
Literary Theory ◽  
Research Method ◽  
Descriptive Analysis ◽  
Literary Study ◽  
Analysis Method ◽  
Research Objects ◽  
Similarities And Differences ◽  
The Difference ◽  
The Comparative Study

Abstract: This research is a comparative literary study that uses Malay and Javanese versions of Mahabarata text sources. The research objects used were the text edition of Pandhawa Gubah (PG) by Sudibjo Z. Hadisutjipto and the text of Cheritera Pandawa Lima (CPL) by Khalid Hussain. The research method used is descriptive-analysis method. In the comparative study used a comparative literary theory proposed by Endraswara (2011). The results of the text comparison reveal the similarities and differences in the image of Bima figures in the Javanese and Malay versions. The equation as a whole is that both texts contain the same heroic storyline and heroic character, Bima. In addition, Indian influence is still evident in the two texts seen from the nuances of Hinduism that exist in both texts. While the difference is seen in the events that accompany Bima's struggle in achieving his victory. Based on these similarities and differences, it can be seen that the authors attempt to represent the concept of metaphysical interactions vertically and horizontally expressed through PG text. --- Abstrak: Penelitian ini adalah satu kajian sastra bandingan yang menggunakan sumber teks Mahabarata versi Melayu dan Jawa. Objek penelitian yang digunakan adalah edisi teks Pandhawa Gubah (PG) karya Sudibjo Z. Hadisutjipto dan teks Cheritera Pandawa Lima (CPL) karya Khalid Hussain. Metode penelitian yang digunakan adalah metode deskriptif-analisis. Dalam telaah perbandingan digunakan teori sastra bandingan yang dikemukakan Endraswara (2011). Hasil perbandingan teks mengungkapkan adanya persamaan dan perbedaan citra tokoh Bima dalam versi Jawa maupun versi Melayu. Persamaan secara keseluruhan adalah kedua teks tersebut mengandung alur cerita kepahlawanan dan tokoh pahlawan yang sama yaitu Bima. Selain itu, pengaruh India masih tampak dalam kedua teks tersebut dilihat dari nuansa Hinduisme yang ada dalam kedua teks. Sementara perbedaannya tampak pada peristiwa-peristiwa yang menyertai perjuangan Bima dalam mencapai kemenangannya. Berdasarkan persamaan dan perbedaan tersebut tampak adanya upaya penulis untuk merepresentasikan konsep interaksi metafisik secara vertikal dan horizontal yang diungkapkan melalui teks PG.

The properties of Bessel-type fractional derivatives and integrals

2016 ◽  
pp. 3973-3982
Author(s):  
V. R. Lakshmi Gorty
Keyword(s):  
Fractional Order ◽  
Real Line ◽  
Computer Algebra System ◽  
Fractional Derivatives ◽  
Graphical Representation ◽  
Fractional Integrals ◽  
The Real ◽  
Fractional Derivatives And Integrals ◽  
Half Axis ◽  
Derivatives Of

The fractional integrals of Bessel-type Fractional Integrals from left-sided and right-sided integrals of fractional order is established on finite and infinite interval of the real-line, half axis and real axis. The Bessel-type fractional derivatives are also established. The properties of Fractional derivatives and integrals are studied. The fractional derivatives of Bessel-type of fractional order on finite of the real-line are studied by graphical representation. Results are direct output of the computer algebra system coded from MATLAB R2011b.

Auslandswissenschaft und kontrastive Kulturkomparatistik

2008 ◽  
Vol 2008 (1) ◽  
pp. 37-44
Author(s):  
Teruaki Takahashi
Keyword(s):  
Comparative Study ◽  
Intercultural Communication ◽  
Cultural Comparison ◽  
Intercultural Understanding ◽  
The Comparative Study

In the context of the controversies surrounding »globalisation« and In the context of the controversies surrounding »globalisation« and »multiculturality« the comparative study of cultures has the task of aiding intercultural communication and of contributing to the success of intercultural understanding. The model of contrastive cultural comparison discussed here is claimed to have applacibility to every possible study of other countries (»Auslandswissenschaft«) and to be able to provide the Geisteswissenschaften with an intercultural orientation.

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