Numerical Solutions of Boundary Value Problems with Finite Difference Method

Containing an extensive illustration of the use of finite difference method in solving boundary value problems numerically, a wide class of differential equations have been numerically solved in this book. Starting with differential equations of elementary functions like hyperbolic, sine and cosine, special functions such as Hermite, Laguerre and Legendre are solved. Airy function, stationary localised wavepacket, the quantum mechanical problem of the particle in a 1D box and polar equation...