Numerical Solutions Using the Taylor Series Method
Description
This book discusses the Taylor Series Method for numerical solution of initial and boundary value problems. A number of differential equations related to problems in physics have been solved numerically, including radioactive decay; simple harmonic motion; damped harmonic motion; driven damped harmonic motion; motion of oscillators in phase space, cyclotron motion; and differential equations for Hyperbolic functions. In addition, several Hermite polynomials have been reproduced by numerically solving two-point boundary value problems. Regarding oscillatory motion, the authors present both velocity and displacement of the oscillating particle as functions of time. For cyclotron motion, the authors simulate trajectory of electrons in magnetic field in real space. Also, Hermite polynomials H3, H4 and H5 are reproduced by numerically solving two-point boundary value problems.
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Persons
Sujaul Chowdhury, Ph.D., is a Professor in Department of Physics at Shahjalal University of Science and Technology. He received his B.Sc. and M.Sc. in Physics from Shahjalal University of Science and Technology, before earning his Ph.D. at The University of Glasgow in 2001. After completing his Ph.D., Dr. Chowdhury was a Humboldt Research Fellow for one year at The Max Planck Institute, Stuttgart. He is the author of many books, including six others with Springer: Monte Carlo Methods: A Hands-On Computational Introduction Utilizing Excel; Monte Carlo Methods Utilizing Mathematica®: Applications in Inverse Transform and Acceptance-Rejection Sampling; Numerical Exploration of Fourier Transform and Fourier Series: The Power Spectrum of Driven Damped Oscillators; Newtonian Mechanics; Numerical Exploration of Isolated GaAs-AlGaAs Quantum Well; and Introduction to Electronics . His research interests include nanoelectronics, magnetotransport in semiconductor nanostructures, and nanostructure physics.
Md. Golam Moktadir was a M.S. student in the Department of Physics at Shahjalal University of Science and Technology.
Content
Initial Value Problems.- Boundary Value Problems.