Finite Difference Equations


Book Description

Comprehensive study focuses on use of calculus of finite differences as an approximation method for solving troublesome differential equations. Elementary difference operations; interpolation and extrapolation; modes of expansion of the solutions of nonlinear equations, applications of difference equations, difference equations associated with functions of two variables, more. Exercises with answers. 1961 edition.




A Treatise on the Calculus of Finite Differences


Book Description

Written by the founder of symbolic logic (and Boolean algebra), this classic treatise on the calculus of finite differences offers a thorough discussion of the basic principles of the subject, covering nearly all the major theorems and methods with clarity and rigor. Includes more than 200 problems. 1872 edition.







Fundamentals of Engineering Numerical Analysis


Book Description

Since the original publication of this book, available computer power has increased greatly. Today, scientific computing is playing an ever more prominent role as a tool in scientific discovery and engineering analysis. In this second edition, the key addition is an introduction to the finite element method. This is a widely used technique for solving partial differential equations (PDEs) in complex domains. This text introduces numerical methods and shows how to develop, analyse, and use them. Complete MATLAB programs for all the worked examples are now available at www.cambridge.org/Moin, and more than 30 exercises have been added. This thorough and practical book is intended as a first course in numerical analysis, primarily for new graduate students in engineering and physical science. Along with mastering the fundamentals of numerical methods, students will learn to write their own computer programs using standard numerical methods.




Numerical Solution of Differential Equations


Book Description

A practical and concise guide to finite difference and finite element methods. Well-tested MATLAB® codes are available online.







Finite Differences and Numerical Analysis


Book Description

This thoroughly revised edition of the book completely covers the syllabi in the calculus of Finite Differences of various Indian Universities. Examples given at the end of each chapter have been specially constructed, taken from university papers, and standard book.







Finite Difference Methods on Irregular Networks


Book Description

No detailed description available for "Finite Difference Methods on Irregular Networks".