The DJ method for exact solutions of Laplace equation

2012/08/16 by M. Yaseen, Yaseen, M., M. Samraiz +3
Mathematics · Physics and Astronomy · #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.MP #nlin.SI

paper · pdf · doi:10.48550/arxiv.1208.3350

8 Pages

arxiv created 2012/08/16 · arxiv updated 2012/08/17

Abstract

In this paper, the iterative method developed by Daftardar-Gejji and Jafari (DJ method) is employed for analytic treatment of Laplace equation with Dirichlet and Neumann boundary conditions. The method is demonstrated by several physical models of Laplace equation. The obtained results show that the present approach is highly accurate and requires reduced amount of calculations compared with the existing iterative methods.

Related

• Exact solutions of Laplace equation by differential transform method
• General iterative approximation to differential equations
• Analysis of first order systems for the solution of Laplace's equation
• Analytic solutions for the approximation of p-Laplacian problem
• Inverse Iteration for the Laplace Eigenvalue Problem with Robin and Mixed Boundary Conditions