Comprehensive study focuses on use of calculus of finite differences as an approximation method for solving troublesome differential equations. Elementary diffe

This book introduces finite difference methods for both ordinary differential equations (ODEs) and partial differential equations (PDEs) and discusses the simil

This book develops a systematic and rigorous mathematical theory of finite difference methods for linear elliptic, parabolic and hyperbolic partial differential

This book is open access under a CC BY 4.0 license. This easy-to-read book introduces the basics of solving partial differential equations by means of finite di

This book provides a clear summary of the work of the author on the construction of nonstandard finite difference schemes for the numerical integration of diffe