Langtangen H.P., Linge S. Finite Difference Computing with PDEs: A Modern Software Approach

Springer International Publishing AG, 2017. — 522 p. — (Texts in Computational Science and Engineering 16) — ISBN: 978-3-319-55455-6.This easy-to-read book introduces the basics of solving partial differential equations by means of finite difference methods. Unlike many of the traditional academic works on the topic, this book was written for practitioners. Accordingly, it especially addresses: the construction of finite difference schemes, formulation and implementation of algorithms, verification of implementations, analyses of physical behavior as implied by the numerical solutions, and how to apply the methods and software to solve problems in the fields of physics and biology.VibrationODEs
Wave Equations
Diffusion Equations
Advection-Dominated Equations
Nonlinear Problems
Appendixes
UsefulFormulas
Truncation Error Analysis
Software Engineering; Wave Equation Model