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This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Finite-difference methods (FDM) are a class of numerical techniques which are used for solving differential equations by estimating derivatives with finite differences. It involves discretizing the spatial domain and time interval. The value of the solution at these discrete points is approximated by solving algebraic equations having finite differences and values from adjacent points. Finite difference methods transform ordinary differential equations or partial differential equations, into a system of linear equations that can be solved by matrix algebra techniques. Modern computers can perform these linear algebra computations efficiently, which has led to the widespread use of FDM in modern numerical analysis. It is considered to be one of the most common approaches to the numerical solution of partial differential equations. This book is compiled in such a manner, that it will provide in-depth knowledge about the theory and practice of finite difference computing. Also included herein is a detailed explanation of the various concepts and applications of this method. Students, researchers, experts and all associated with finite-difference methods will benefit alike from this book.
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