Chowdhury, Sujaul,
Numerical solutions of boundary value problems with finite difference method / Sujaul Chowdhury, Ponkog Kumar Das and Syed Badiuzzaman Faruque. - 1 online resource (various pagings) : illustrations. - [IOP release 5] IOP concise physics, 2053-2571 . - IOP (Series). Release 5. IOP concise physics. .
"Version: 20180901"--Title page verso. "A Morgan & Claypool publication as part of IOP Concise Physics"--Title page verso.
Includes bibliographical references.
1. A numerical solution of boundary value problem using the finite difference method -- 1.1. Statement of the problem -- 1.2. Approximation to derivatives -- 1.3. The finite difference method 2. Differential equations of some elementary functions : boundary value problems numerically solved using finite difference method -- 2.1. The differential equation for hyperbolic function -- 2.2. The differential equation for Cosine function -- 3. Differential equations of special functions : boundary value problems numerically solved using finite difference method -- 3.1. The Hermite differential equation -- 3.2. The Laguerre differential equation -- 3.3. The Legendre differential equ 4. Differential equation of Airy function : boundary value problem numerically solved using finite difference method -- 4.1. The differential equation for Airy function 5. Differential equation of stationary localised wavepacket : boundary value problem numerically solved using finite difference method -- 5.1. Differential equation for stationary localised wavepacket 6. Particle in a box : boundary value problem numerically solved using finite difference method -- 6.1. The quantum mechanical problem of a particle in a one-dimensional box 7. Motion under gravitational interaction : boundary value problem numerically solved using finite difference method -- 7.1. Motion under gravitational interaction -- 8. Concluding remarks.
The 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 equatio
Undergraduate students of mathematics, physics and engineering wishing to get adept in numerical solutions of boundary value problems with finite difference method will be delighted to get this book or e-book.
Mode of access: World Wide Web.
System requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader.
Sujaul Chowdhury is a Professor in Department of Physics, Shahjalal University of Science and Technology (SUST), Bangladesh. He obtained a BSc (Honours) in physics in 1994 and MSc in physics in 1996 from SUST. He obtained a PhD in physics from T
9781643272801 9781643272788
10.1088/978-1-64327-280-1 doi
Boundary value problems--Numerical solutions.
Finite differences.
Applied physics.
SCIENCE / Applied Sciences.
QA379 / .C566 2018eb
515/.35
Numerical solutions of boundary value problems with finite difference method / Sujaul Chowdhury, Ponkog Kumar Das and Syed Badiuzzaman Faruque. - 1 online resource (various pagings) : illustrations. - [IOP release 5] IOP concise physics, 2053-2571 . - IOP (Series). Release 5. IOP concise physics. .
"Version: 20180901"--Title page verso. "A Morgan & Claypool publication as part of IOP Concise Physics"--Title page verso.
Includes bibliographical references.
1. A numerical solution of boundary value problem using the finite difference method -- 1.1. Statement of the problem -- 1.2. Approximation to derivatives -- 1.3. The finite difference method 2. Differential equations of some elementary functions : boundary value problems numerically solved using finite difference method -- 2.1. The differential equation for hyperbolic function -- 2.2. The differential equation for Cosine function -- 3. Differential equations of special functions : boundary value problems numerically solved using finite difference method -- 3.1. The Hermite differential equation -- 3.2. The Laguerre differential equation -- 3.3. The Legendre differential equ 4. Differential equation of Airy function : boundary value problem numerically solved using finite difference method -- 4.1. The differential equation for Airy function 5. Differential equation of stationary localised wavepacket : boundary value problem numerically solved using finite difference method -- 5.1. Differential equation for stationary localised wavepacket 6. Particle in a box : boundary value problem numerically solved using finite difference method -- 6.1. The quantum mechanical problem of a particle in a one-dimensional box 7. Motion under gravitational interaction : boundary value problem numerically solved using finite difference method -- 7.1. Motion under gravitational interaction -- 8. Concluding remarks.
The 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 equatio
Undergraduate students of mathematics, physics and engineering wishing to get adept in numerical solutions of boundary value problems with finite difference method will be delighted to get this book or e-book.
Mode of access: World Wide Web.
System requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader.
Sujaul Chowdhury is a Professor in Department of Physics, Shahjalal University of Science and Technology (SUST), Bangladesh. He obtained a BSc (Honours) in physics in 1994 and MSc in physics in 1996 from SUST. He obtained a PhD in physics from T
9781643272801 9781643272788
10.1088/978-1-64327-280-1 doi
Boundary value problems--Numerical solutions.
Finite differences.
Applied physics.
SCIENCE / Applied Sciences.
QA379 / .C566 2018eb
515/.35