Numerical methods for some partial differential equations and their application with boundary conditions in physics problems

Abstract

    This paper deals with several types of partial differential equations and their application in physics problems involving two or more independent variables, the most important of which are the wave equation, Laplace equation, and some electromagnetic phenomena using Maxwell’s equations. It is usually difficult to calculate the analytical solutions for these partial differential equations, and therefore Alternative methods are applied, including numerical and analytical methods, which are widely used to solve partial differential equations within the specified domain with boundary conditions in general.