Numerical Solutions Using the Taylor Series Method

Initial and Boundary Value Problems
Erscheinungsjahr 2026
ISBN: 978-3-032-26991-1
Verlag: Springer

Buch, Englisch, 112 Seiten, Format (B × H): 173 mm x 246 mm, Gewicht: 389 g

Reihe: Synthesis Lectures on Mathematics & Statistics

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.

Zielgruppe

Upper undergraduate

Autoren/Hrsg.

Chowdhury, Sujaul

Moktadir, Md. Golam

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Numerische Mathematik
• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik

Inhaltsverzeichnis

Initial Value Problems.- Boundary Value Problems.

Über Autor(innen)

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: and . 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.