Sprache: Englisch
Verlag: LAP LAMBERT Academic Publishing Jan 2020, 2020
ISBN 10: 6200505365 ISBN 13: 9786200505361
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Taschenbuch. Zustand: Neu. Neuware -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. 92 pp. Englisch.
Sprache: Englisch
Verlag: LAP LAMBERT Academic Publishing, 2020
ISBN 10: 6200505365 ISBN 13: 9786200505361
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Taschenbuch. Zustand: Neu. Neuware -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.Books on Demand GmbH, Überseering 33, 22297 Hamburg 92 pp. Englisch.
Sprache: Englisch
Verlag: LAP LAMBERT Academic Publishing, 2020
ISBN 10: 6200505365 ISBN 13: 9786200505361
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Taschenbuch. Zustand: Neu. 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.
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In den WarenkorbZustand: Sehr gut. Zustand: Sehr gut | Sprache: Englisch | Produktart: Bücher | 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.
Sprache: Englisch
Verlag: LAP LAMBERT Academic Publishing, 2020
ISBN 10: 6200505365 ISBN 13: 9786200505361
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In den WarenkorbZustand: Hervorragend. Zustand: Hervorragend | Sprache: Englisch | Produktart: Bücher | 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.
Sprache: Englisch
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ISBN 10: 6200505365 ISBN 13: 9786200505361
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Taschenbuch. Zustand: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - 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.