Numerical solutions of boundary value problems with so-called shooting method /

Numerical solutions of boundary value problems with so-called shooting method /

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Bibliographic Details
Author / Creator:Chowdhury, Sujaul, author.
Imprint:New York : Nova Science Publishers, [2021]
Description:1 online resource.
Language:English
Series:Mathematics Research Developments Ser.
Mathematics Research Developments Ser.
Subject:
Boundary value problems -- Numerical solutions.
Boundary value problems -- Numerical solutions.
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/13586622
Hidden Bibliographic Details
ISBN:1685071430
9781685071431
9781685070397
1685070396
Notes:Includes bibliographical references and index.
Description based on print version record and CIP data provided by publisher; resource not viewed.
Summary:"This book presents in comprehensive detail numerical solutions to boundary value problems of a number of differential equations using the so-called Shooting Method. 4th order Runge-Kutta method, Newton's forward difference interpolation method and bisection method for root finding have been employed in this regard. Programs in Mathematica 6.0 were written to obtain the numerical solutions. This monograph on Shooting Method is the only available detailed resource of the topic"--
Other form:Print version: Chowdhury, Sujaul. Numerical solutions of boundary value problems with so-called shooting method New York : Nova Science Publishers, [2021] 9781685070397
Table of Contents:
  • Intro
  • Contents
  • Preface
  • Chapter 1
  • Introduction
  • 1.1. Statement of the Problem
  • 1.2. The Methodology of the Numerical Solution Using the So-Called Shooting Method
  • Chapter 2
  • Differential Equations of Some Elementary Functions:
  • Numerical Solutions of Boundary Value Problems with
  • So-Called Shooting Method
  • 2.1. The Differential Equation for Hyperbolic Function Cosh
  • 2.2. The Differential Equation for Hyperbolic Function Sinh
  • 2.3. The Differential Equation for Cos Function
  • 2.4. The Differential Equation for Sin Function
  • Chapter 3
  • Differential Equations of Special Functions: Numerical Solutions of Boundary Value Problems with
  • So-Called Shooting Method
  • 3.1. The Hermite Differential Equation and Hermite Polynomial H4
  • 3.2. The Hermite Differential Equation and Hermite Polynomial H5
  • 3.3. The Legendre Differential Equation and Legendre Polynomial P4
  • 3.4. The Legendre Differential Equation and Legendre Polynomial P5
  • 3.5. The Bessel Differential Equation and Bessel Function J0
  • 3.6. The Bessel Differential Equation and Bessel Function J1
  • Chapter 4
  • Differential Equation of Airy Functions: Numerical Solutions of Boundary Value Problems with So-Called Shooting Method
  • 4.1. The Airy Differential Equation and Airy Function AiryAi
  • 4.2. The Airy Differential Equation and Airy Function AiryBi
  • Chapter 5
  • Differential Equation of Stationary Localized Wavepacket: Numerical Solutions of Boundary Value Problems with So-Called Shooting Method
  • 5.1. The Differential Equation of Stationary Localized Wavepacket: Case I
  • 5.2. The Differential Equation of Stationary Localized Wavepacket: Case II
  • Chapter 6
  • Differential Equation for Motion under Gravitational Interaction: Numerical Solution of Boundary Value Problem with So-Called Shooting Method
  • 6.1. The Differential Equation for Motion under Gravitational Interaction
  • Conclusion
  • Reference
  • About the Authors
  • Index
  • Blank Page

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