Special Type of Nonlinear Partial Differential Equations | On Solving Special Type of Nonlinear Partial Differential Equations

Ali Hassan Nasser Al-Fayadh (u. a.)

ISBN 10: 6200505365 / ISBN 13: 9786200505361

Published by LAP LAMBERT Academic Publishing, 2020

About this Item

Special Type of Nonlinear Partial Differential Equations | On Solving Special Type of Nonlinear Partial Differential Equations | Ali Hassan Nasser Al-Fayadh (u. a.) | Taschenbuch | Englisch | 2020 | LAP LAMBERT Academic Publishing | EAN 9786200505361 | Verantwortliche Person für die EU: preigu GmbH & Co. KG, Lengericher Landstr. 19, 49078 Osnabrück, mail[at]preigu[dot]de | Anbieter: preigu.

Seller Inventory # 117968688

Bibliographic Details

• Title: Special Type of Nonlinear Partial Differential Equations | On Solving Special Type of Nonlinear Partial Differential Equations
• Publisher: LAP LAMBERT Academic Publishing
• Publication Date: 2020
• Language: English
• ISBN 10: 6200505365
• ISBN 13: 9786200505361
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 220W x 150H x 7D millimeters 220 millimeters width by 150 millimeters height by 7 millimeters depth
• Weight: 155 grams
• Seller catalogs:
  • Bücher

About this title

Synopsis

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.