Name: Goursat Partial Differentian Equation: Numerical Integration Method (en Inglés)
SKU: 62654647
Price: 73.47 USD
Availability: InStock
Author: Ros Fadilah Deraman; Mohd Agos Salim Nasir

portada Goursat Partial Differentian Equation: Numerical Integration Method (en Inglés)

Goursat Partial Differentian Equation: Numerical Integration Method (en Inglés)

Formato

Libro Físico

Editorial

Lap Lambert Academic Publishing

Autor

Ros Fadilah Deraman; Mohd Agos Salim Nasir

Idioma

Inglés

N° páginas

116

Encuadernación

Tapa Blanda

ISBN13

9783659768668

Goursat Partial Differentian Equation: Numerical Integration Method (en Inglés)

Ros Fadilah Deraman; Mohd Agos Salim Nasir (Autor) · Lap Lambert Academic Publishing · Tapa Blanda

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Reseña del libro "Goursat Partial Differentian Equation: Numerical Integration Method (en Inglés)"

The Goursat partial differential equation is a hyperbolic partial differential equation which arises in science and engineering fields. Many approaches have been suggested to approximate the solutions of the Goursat partial differential equations such as the finite difference method, Runge-Kutta method, differential transform method, variational iteration method and homotopy analysis method. These methods focus on series expansion and numerical differentiation approaches including the forward and central differences in deriving the schemes. In this book, we developed new schemes to solve a class of Goursat partial differential equations that applies the Newton-Cotes formula for approximating the double integrals terms. The Newton-Cotes numerical integration involves Newton-Cotes order one, Newton-Cotes order two, Newton-Cotes order three and Newton-Cotes order four. The linear and nonlinear homogeneous and inhomogeneous Goursat problems are examined. The new schemes gave quantitatively reliable results for the problems considered. The numerical analysis test has been performed to ensure that the new schemes are accurate, consistent, stable and converge in solving these problems.