Sujaul C. Numerical Solutions of Boundary Value Problems...2021 torrent

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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.
Preface
Introduction
Differential Equations of Some Elementary Functions: Numerical Solutions of Boundary Value Problems with So-Called Shooting Method
Differential Equations of Special Functions: Numerical Solutions of Boundary Value Problems with So-Called Shooting Method
Differential Equation of Airy Functions: Numerical Solutions of Boundary Value Problems with So-Called Shooting Method and Airy Function AiryBi
Differential Equation of Stationary Localized Wavepacket: Numerical Solutions of Boundary Value Problems with So-Called Shooting Method
Differential Equation for Motion under Gravitational Interaction: Numerical Solution of Boundary Value Problem with So-Called Shooting Method
Conclusion