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Présentation de l'éditeur :
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.
Biographie de l'auteur :
Ros Fadilah Deraman, MSc: Studied Computational Mathematics in Numerical Analysis at Universiti Teknologi MARA (Shah Alam). Mathematics Lecturer at Universiti Teknologi MARA (Negeri Sembilan)., Malaysia.
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- ÉditeurLAP Lambert Academic Publishing
- Date d'édition2015
- ISBN 10 3659768669
- ISBN 13 9783659768668
- ReliureBroché
- Nombre de pages116
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Goursat Partial Differentian Equation: Numerical Integration Method
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Description du livre Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 116 pp. Englisch. N° de réf. du vendeur 9783659768668
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Goursat Partial Differentian Equation : Numerical Integration Method
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(2015)
ISBN 10 : 3659768669
ISBN 13 : 9783659768668
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Description du livre Taschenbuch. Etat : Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - 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. N° de réf. du vendeur 9783659768668
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Goursat Partial Differentian Equation Numerical Integration Method
Edité par
LAP LAMBERT Academic Publishing
(2015)
ISBN 10 : 3659768669
ISBN 13 : 9783659768668
Neuf
PAP
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Description du livre PAP. Etat : New. New Book. Delivered from our UK warehouse in 4 to 14 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. N° de réf. du vendeur L0-9783659768668
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Goursat Partial Differentian Equation
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ISBN 13 : 9783659768668
Neuf
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Description du livre Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Autor/Autorin: Deraman Ros FadilahRos Fadilah Deraman, MSc: Studied Computational Mathematics in Numerical Analysis at Universiti Teknologi MARA (Shah Alam). Mathematics Lecturer at Universiti Teknologi MARA (Negeri Sembilan)., Malaysia.The Gou. N° de réf. du vendeur 158876434
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