Numerical Analysis for Science, Engineering and Technology

Numerical Analysis for Science, Engineering and Technology

This textbook is intended as a guide for undergraduate and graduate students in engineering, science and technology courses. Chapters of the book cover the numerical concepts of errors, ...
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Numerical Solution for Partial Differential Equations

Pp. 218-258 (41)

Said Gamil Ahmed Sayed Ahmed, Hossein Jafari, Mukhtar Yagoub Youssif and Roberto Datja

Abstract

Partial differential equations have gained great interest due to their efficiency in describing the mathematical model of several physical phenomena and engineering applications. This chapter starts by a general definition for partial differential equations followed by some of the famous analytical methods of solutions and a brief description of major numerical methods for solving partial differential equations.

Keywords:

Complex Fourier expansion, Definition of partial differential equation, Half-range expansion, Odd and even function, Types of partial differential equation.

Affiliation:

Professor of Mathematics and Numerical Analysis, Faculty of Engineering, Zagazig University, Egypt.