Numerical solutions of boundary value problems with finite difference method /

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 equations of elementary functions like hyperbolic, sine and co...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Chowdhury, Sujaul (Autor), Das, Ponkog Kumar (Autor), Faruque, Syed Badiuzzaman (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: San Rafael [California] (40 Oak Drive, San Rafael, CA, 94903, USA) : Morgan & Claypool Publishers, [2018]
Colección:IOP (Series). Release 5.
IOP concise physics.
Temas:
Boundary value problems > Numerical solutions.
Finite differences.
Applied physics.
SCIENCE / Applied Sciences.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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
  • 2.3. The differential equation for Sine 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 equation
  • 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.

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