Numerical Solutions of Boundary Value Problems with Finite Difference Method

Nonfiction, Science & Nature, Science, Physics, Mathematical Physics, Other Sciences, Applied Sciences, General Physics
Cover of the book Numerical Solutions of Boundary Value Problems with Finite Difference Method by Sujaul Chowdhury, Ponkog Kumar Das, Syed Badiuzzaman Faruque, Morgan & Claypool Publishers
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Author: Sujaul Chowdhury, Ponkog Kumar Das, Syed Badiuzzaman Faruque ISBN: 9781643272795
Publisher: Morgan & Claypool Publishers Publication: September 11, 2018
Imprint: IOP Concise Physics Language: English
Author: Sujaul Chowdhury, Ponkog Kumar Das, Syed Badiuzzaman Faruque
ISBN: 9781643272795
Publisher: Morgan & Claypool Publishers
Publication: September 11, 2018
Imprint: IOP Concise Physics
Language: English

This book contains an extensive illustration of use of finite difference method in solving the boundary value problem numerically. A wide class of differential equations has been numerically solved in this book. Starting with differential equations of elementary functions like hyperbolic, sine and cosine, we have solved those of special functions like Hermite, Laguerre and Legendre. Those of Airy function, of stationary localised wavepacket, of the quantum mechanical problem of a particle in a 1D box, and the polar equation of motion under gravitational interaction have also been solved. Mathematica 6.0 has been used to solve the system of linear equations that we encountered and to plot the numerical data. Comparison with known analytic solutions showed nearly perfect agreement in every case. On reading this book, readers will become adept in using the method.

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This book contains an extensive illustration of use of finite difference method in solving the boundary value problem numerically. A wide class of differential equations has been numerically solved in this book. Starting with differential equations of elementary functions like hyperbolic, sine and cosine, we have solved those of special functions like Hermite, Laguerre and Legendre. Those of Airy function, of stationary localised wavepacket, of the quantum mechanical problem of a particle in a 1D box, and the polar equation of motion under gravitational interaction have also been solved. Mathematica 6.0 has been used to solve the system of linear equations that we encountered and to plot the numerical data. Comparison with known analytic solutions showed nearly perfect agreement in every case. On reading this book, readers will become adept in using the method.

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