The solution of Poisson partial differential equations via Double Laplace Transform Method

Abstract

The Poisson’s Partial Differential Equation (PPDEs) is known as the generalization of a famous Laplace’s Equation. The aforementioned differential equation is an elliptic in nature and frequently used in theoretical physics. The consider equation shows linkage between potential difference and volume charge density. The authors, developed the scheme for approximate solution of PPDEs by Double Laplace Transform (DLT). To illustrated the main work, we have steepness some numerical examples. Author’s also provided graphical representation corresponding to desired solutions for the concern class of PDEs.

Keywords

• Poisson partial differential equations
• Double Laplace Transform
• Approximate solution
• Matlab