Computational partial differential equations using MATLAB

Bibliographic Information

Computational partial differential equations using MATLAB

Jichun Li, Yi-Tung Chen

(Textbooks in mathematics)

CRC Press, c2020

2nd ed

  • : hardback

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Note

On t.p. the registered trademark symbol "R" is superscript following "MATLAB" in the title

"A Chapman & Hall book"

Includes bibliographical references and index

Description and Table of Contents

Description

In this popular text for an Numerical Analysis course, the authors introduce several major methods of solving various partial differential equations (PDEs) including elliptic, parabolic, and hyperbolic equations. It covers traditional techniques including the classic finite difference method, finite element method, and state-of-the-art numercial methods.The text uniquely emphasizes both theoretical numerical analysis and practical implementation of the algorithms in MATLAB. This new edition includes a new chapter, Finite Value Method, the presentation has been tightened, new exercises and applications are included, and the text refers now to the latest release of MATLAB. Key Selling Points: A successful textbook for an undergraduate text on numerical analysis or methods taught in mathematics and computer engineering. This course is taught in every university throughout the world with an engineering department or school. Competitive advantage broader numerical methods (including finite difference, finite element, meshless method, and finite volume method), provides the MATLAB source code for most popular PDEs with detailed explanation about the implementation and theoretical analysis. No other existing textbook in the market offers a good combination of theoretical depth and practical source codes.

Table of Contents

Brief Overview of Partial Differential Equations Finite Difference Methods for Parabolic Equations Finite Difference Methods for Hyperbolic Equations Finite Difference Methods for Elliptic Equations Higher Order Compact Difference Methods Finite Element Methods: Basic Theory Finite Element Methods: Programming Mixed Finite Element Methods Finite Element Methods for Electromagnetics Meshless Methods with Radial Basis Functions Other Meshless Methods

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