A Substitution Method for Partial Differential Equations Using Ramadan Group Integral Transform
Journal Title: Asian Research Journal of Mathematics - Year 2017, Vol 7, Issue 4
Abstract
In this paper we introduce the concept of Ramadan Group integral transform substitution (RGTS) method to solve some types of Partial differential equations. This new method is a convenient way to find exact solution with less computational cost as compared with method of separation of variables (MSV) and variation iteration method (VIM). The proposed method solves linear partial differential equations involving mixed partial derivatives.
Authors and Affiliations
Mohamed A. Ramadan, Kamal R. Raslan, Adel R. Hadhoud, Asmaa K. Mesrega
Keywords
Related Articles
- EP ID EP338468
- DOI 10.9734/ARJOM/2017/37816
- Views 62
- Downloads 0
On the Symmetric Genus of K-metacyclic Group and Its Presentations
The symmetric genus of a finite group G is defined as the smallest genus of a compact connected oriented surface on which G acts faithfully via diffeomorphisms, which may be orientation-preserving or orientation-reserv...
Collocation Method for the Solution of Boundary Value Problems
In mathematics, collocation method is a method for the numerical solution of ordinary differential, partial differential and integral equations. The idea is to choose a finite-dimensional space of candidate solutions (us...
Degree-correlation, Robustness and Vulnerability in Finite Scale-free Networks
Many naturally occurring networks have a power-law degree distribution as well as a non-zero degree correlation. Despite this, most studies analyzing the robustness to random node- deletion and vulnerability to targeted...
Conditional Least Squares Estimation for Discretely Sampled Nonergodic Di usions
Strong consistency and conditional asymptotic normality of the conditional least squares estimator of a parameter appearing nonlinearly in the time dependent drift coefficient of the Itˆo stochastic differential equation...
Computational Method for the Determination of Forced Motions in Mass-spring Systems
In this paper, we propose a computational method for the determination of forced motions in mass-spring systems. The method of interpolation and collocation of Hermite polynomial (as basis function) was adopted to genera...