Name: Special Type of Nonlinear Partial Differential Equations: On Solving Special Type of Nonlinear Partial Differential Equations (en Inglés)
Price: 204856.00 COP
Availability: InStock
Author: Al-Fayadh Ali Hassan, Nasser Und Saad Faraj Dina:
ISBN: 9786200505361

portada Special Type of Nonlinear Partial Differential Equations: On Solving Special Type of Nonlinear Partial Differential Equations (en Inglés)

Special Type of Nonlinear Partial Differential Equations: On Solving Special Type of Nonlinear Partial Differential Equations (en Inglés)

Formato

Libro Físico

Editorial

Lap Lambert Academic Publishing

Autor

Al-Fayadh Ali Hassan, Nasser Und Saad Faraj Dina:

Idioma

Inglés

Encuadernación

Tapa Blanda

ISBN13

9786200505361

Special Type of Nonlinear Partial Differential Equations: On Solving Special Type of Nonlinear Partial Differential Equations (en Inglés)

Al-Fayadh Ali Hassan, Nasser Und Saad Faraj Dina: (Autor) · Lap Lambert Academic Publishing · Tapa Blanda

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Reseña del libro "Special Type of Nonlinear Partial Differential Equations: On Solving Special Type of Nonlinear Partial Differential Equations (en Inglés)"

In this book, two methods are proposed to solve specific types of nonlinear partial differential equations, which are the Sine-Gordon and the Goursat Problem. The first method uses the variation iteration method (VIM) after taking the Laplace transformation which is called Laplace transformation and VIM (LT-VIM). The proposed method is used to solve the Sine-Gordon equation and proven to be very effective compared to existing methods such as the VIM, ADM, HPM, and the RDTM as this method required only one iteration to achieve a value very close to exact solution. Two examples were solved to approve the method one with approximate solution and the other with exact one. Another problem explored in this book is the Goursat-Problem to achieve the exact solution. The usage of Laplace transform was not the best choice in this case since there will be two variables to deal with. A method called Laplace substitution was shown to be very efficient for getting approximate solutions of many linear and nonlinear partial differential equations. The Laplace substitution method was combined with VIM to achieve the exact solution of Goursat problem.