scholarly journals Fox H-functions as exact solutions for Caputo type mass spring damper system under Sumudu transform

2021 ◽  
Vol 20 (1) ◽  
pp. 83-89
Author(s):  
Sania Qureshi
Keyword(s):  
Exact Solutions ◽  
Sumudu Transform ◽  
Mass Spring ◽  
Type Mass

scholarly journals Discrete Inverse Sumudu Transform Application to Whittaker Equation and Zettl Equation

2018 ◽  
Author(s):  
Rathinavel Silambarasan ◽  
Kottakkaran Sooppy Nisar ◽  
Fethi Bin Muhammad Belgacem
Keyword(s):  
Differential Equations ◽  
Exact Solutions ◽  
Ordinary Differential Equations ◽  
Design Methodology ◽  
Elementary Functions ◽  
New Exact Solutions ◽  
Sumudu Transform ◽  
Sumudu Transforms

Inverse Sumudu transform multiple shifting properties are used to design methodology for solving ordinary differential equations. Then algorithm applied to solve Whittaker and Zettl equations to get their new exact solutions and profiles which shown through Maple complex graphicals. Table of inverse Sumudu transforms for elementary functions given for supporting the differential equations solving using inverse Sumudu transform.

scholarly journals Solving Systems of Non-Linear Volterra Integral Equations by Combined Sumudu Transform-Adomian Decomposition Method

2021 ◽  
pp. 252-268
Author(s):  
Lamiaa H. Al-Taee ◽  
Waleed Al-Hayani
Keyword(s):  
Nonlinear Systems ◽  
Exact Solutions ◽  
Integral Equations ◽  
Decomposition Method ◽  
Adomian Decomposition Method ◽  
High Accuracy ◽  
Volterra Integral Equations ◽  
Adomian Decomposition ◽  
Sumudu Transform ◽  
Linear Volterra Integral Equations

     This paper is used for solving component Volterra nonlinear systems by means of the combined Sumudu transform with Adomian decomposition process. We equate the numerical results with the exact solutions to demonstrate the high accuracy of the solution results. The results show that the approach is very straightforward and effective.

scholarly journals Sumudu Transform Method for Analytical Solutions of Fractional Type Ordinary Differential Equations

2015 ◽  
Vol 2015 ◽  
pp. 1-6 ◽  
Author(s):  
Seyma Tuluce Demiray ◽  
Hasan Bulut ◽  
Fethi Bin Muhammad Belgacem
Keyword(s):  
Differential Equations ◽  
Exact Solutions ◽  
Numerical Simulations ◽  
Ordinary Differential Equations ◽  
Analytical Solutions ◽  
Order Derivative ◽  
Two Dimensional ◽  
Transform Method ◽  
Sumudu Transform ◽  
Fractional Type

We make use of the so-called Sumudu transform method (STM), a type of ordinary differential equations with both integer and noninteger order derivative. Firstly, we give the properties of STM, and then we directly apply it to fractional type ordinary differential equations, both homogeneous and inhomogeneous ones. We obtain exact solutions of fractional type ordinary differential equations, both homogeneous and inhomogeneous, by using STM. We present some numerical simulations of the obtained solutions and exhibit two-dimensional graphics by means of Mathematica tools. The method used here is highly efficient, powerful, and confidential tool in terms of finding exact solutions.

Simulation and Analysis of Two-Mass Suspension Modification Using MATLAB Programming

2019 ◽  
Vol 3 (1) ◽  
pp. 160-165
Author(s):  
Hendry D. Chahyadi
Keyword(s):  
Vibrational Energy ◽  
State Space Model ◽  
Mass System ◽  
Modeling And Analysis ◽  
The Road ◽  
Final Project ◽  
Quarter Car ◽  
Automotive Suspension ◽  
Mass Spring ◽  
Matlab Programming

The designs of automotive suspension system are aiming to avoid vibration generated by road condition interference to the driver. This final project is about a quarter car modeling with simulation modeling and analysis of Two-Mass modeling. Both existing and new modeling are being compared with additional spring in the sprung mass system. MATLAB program is developed to analyze using a state space model. The program developed here can be used for analyzing models of cars and vehicles with 2DOF. The quarter car modelling is basically a mass spring damping system with the car serving as the mass, the suspension coil as the spring, and the shock absorber as the damper. The existing modeling is well-known model for simulating vehicle suspension performance. The spring performs the role of supporting the static weight of the vehicle while the damper helps in dissipating the vibrational energy and limiting the input from the road that is transmitted to the vehicle. The performance of modified modelling by adding extra spring in the sprung mass system provides more comfort to the driver. Later on this project there will be comparison graphic which the output is resulting on the higher level of damping system efficiency that leads to the riding quality.

Extended F-Expansion Method for Solving the modified Korteweg-de Vries (mKdV) Equation

2020 ◽  
Vol 11 (1) ◽  
pp. 93-100
Author(s):  
Vina Apriliani ◽  
Ikhsan Maulidi ◽  
Budi Azhari
Keyword(s):  
Wave Equation ◽  
Exact Solutions ◽  
Internal Waves ◽  
Water Waves ◽  
Wave Equations ◽  
Elliptic Functions ◽  
Expansion Method ◽  
Mkdv Equation ◽  
Innovative Methods ◽  
De Vries

One of the phenomenon in marine science that is often encountered is the phenomenon of water waves. Waves that occur below the surface of seawater are called internal waves. One of the mathematical models that can represent solitary internal waves is the modified Korteweg-de Vries (mKdV) equation. Many methods can be used to construct the solution of the mKdV wave equation, one of which is the extended F-expansion method. The purpose of this study is to determine the solution of the mKdV wave equation using the extended F-expansion method. The result of solving the mKdV wave equation is the exact solutions. The exact solutions of the mKdV wave equation are expressed in the Jacobi elliptic functions, trigonometric functions, and hyperbolic functions. From this research, it is expected to be able to add insight and knowledge about the implementation of the innovative methods for solving wave equations. 

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