Explicit Analytic Solution of Vibration Equation for large domain by mean of the Elzaki projected Differential Transform Method
Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2015, Vol 11, Issue 5
Abstract
The aim of this paper is to present a reliable and efficient algorithm Elzaki projected differential transform method (EPDTM) to obtain the explicit solution of vibration equation for a very large membrane with given initial conditions. By using initial conditions, explicit series solutions for six different cases have been derived for the fast convergence of the solution. Numerical results show the reliability, efficiency and accuracy of Elzaki projected differential transform method (EPDTM). Numerical results for the six different cases are presented graphically.
Authors and Affiliations
Muhammad Suleman, Qingbiao Wu, TM Elzaki
Keywords
Related Articles
- EP ID EP651603
- DOI 10.24297/jam.v11i5.1251
- Views 140
- Downloads 0
About the Dirichlet Boundary Value Problem using Clifford Algebras
This paper reviews and summarizes the relevant literature on Dirichlet problems for monogenic functions on classic Clifford Algebras and the Clifford algebras depending on parameters on. Furthermore, our aim is to explor...
A New Technique to Solve the Instant Insanity Problem
Instant Insanity [1] consists of four cubes, each of whose six faces are colored with one of the four colors: red, blue, white, and green. The object is to stack the cubes in such a way that each of the four co...
Bifurcation in Singularity Parameterized ODEs
In this paper we will study differential algebraic equations (DAEs) through studying singularly perturbed ODEs. That's the ODEs will be transformed to an DAEs when the perturbed parameter approach to 0. This will permit...
Splitting Decomposition Homotopy Perturbation Method To Solve One -Dimensional Navier -Stokes Equation
We have proposed in this research a new scheme to find analytical approximating solutions for Navier-Stokes equation of one dimension. The new methodology depends on combining &n...
Numerical method for evaluation triple integrals by using midpoint's rule
In this paper, we derive method to find the values of the triple integrals numerically its integrands continuous but have singularity in partial derivatives in the region of the integrals by using Midpoint's ru...