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Synopsis
This thesis presents a new analytical approximate approach for solving non-linear initial value problems using Taylors' expansion technique. This approach uses derivative components of Taylors' series expansion as a key in its construction. The new approach gave us analytical solutions for some non-linear problems. Naturally, these solutions are in the form of a power series, and its coefficients represent to the nonlinear terms (sometime linear and nonlinear) in the NPDE. The effectiveness of this approach is demonstrated through several examples. These examples are Biological Population model equations, Zakharov–Kuznetsov equations and system of Burger equations. The new approach leaded to significant improvements both in terms of computational time, convergence and accuracy, and the computational results were reinforced by the convergence theorems proofs theoretically. The tables and figures of the new analytical approximate solutions show the validity, usefulness, and importance of the new approach. Moreover, we can consider that this approach is a well-developed mathematical tool to solving non-linear partial differential equations comparing with the other existing methods.
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- PublisherLAP LAMBERT Academic Publishing
- Publication date2019
- ISBN 10 6139454735
- ISBN 13 9786139454730
- BindingPaperback
- LanguageEnglish
- Number of pages88
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A New Analytical Approximate Approach for Non-Linear Initial Value : Problems
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LAP LAMBERT Academic Publishing, 2019
ISBN 10: 6139454735
ISBN 13: 9786139454730
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A New Analytical Approximate Approach for Non-Linear Initial Value
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This thesis presents a new analytical approximate approach for solving non-linear initial value problems using Taylors' expansion technique. This approach uses derivative components of Taylors' series expansion as a key in its construction. The new approach gave us analytical solutions for some non-linear problems. Naturally, these solutions are in the form of a power series, and its coefficients represent to the nonlinear terms (sometime linear and nonlinear) in the NPDE. The effectiveness of this approach is demonstrated through several examples. These examples are Biological Population model equations, Zakharov-Kuznetsov equations and system of Burger equations. The new approach leaded to significant improvements both in terms of computational time, convergence and accuracy, and the computational results were reinforced by the convergence theorems proofs theoretically. The tables and figures of the new analytical approximate solutions show the validity, usefulness, and importance of the new approach. Moreover, we can consider that this approach is a well-developed mathematical tool to solving non-linear partial differential equations comparing with the other existing methods. 88 pp. Englisch. Seller Inventory # 9786139454730
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A New Analytical Approximate Approach for Non-Linear Initial Value : Problems
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LAP LAMBERT Academic Publishing, 2019
ISBN 10: 6139454735
ISBN 13: 9786139454730
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Taschenbuch. Condition: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - This thesis presents a new analytical approximate approach for solving non-linear initial value problems using Taylors' expansion technique. This approach uses derivative components of Taylors' series expansion as a key in its construction. The new approach gave us analytical solutions for some non-linear problems. Naturally, these solutions are in the form of a power series, and its coefficients represent to the nonlinear terms (sometime linear and nonlinear) in the NPDE. The effectiveness of this approach is demonstrated through several examples. These examples are Biological Population model equations, Zakharov-Kuznetsov equations and system of Burger equations. The new approach leaded to significant improvements both in terms of computational time, convergence and accuracy, and the computational results were reinforced by the convergence theorems proofs theoretically. The tables and figures of the new analytical approximate solutions show the validity, usefulness, and importance of the new approach. Moreover, we can consider that this approach is a well-developed mathematical tool to solving non-linear partial differential equations comparing with the other existing methods. Seller Inventory # 9786139454730
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A New Analytical Approximate Approach for Non-Linear Initial Value: Problems
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Autor/Autorin: Sabah Abdul-Wahab MohammedMohammed Sabah Abdul-Wahab was born in Basrah city in 1994. He entered the Department of Mathematics in College of Education for Pure Sciences, University of Basrah in 2012. He obtained a bachelor s degree i. Seller Inventory # 283855281
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A New Analytical Approximate Approach for Non-Linear Initial Value: Problems
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A New Analytical Approximate Approach for Non-Linear Initial Value: Problems
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A New Analytical Approximate Approach for Non-Linear Initial Value
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Taschenbuch. Condition: Neu. Neuware -This thesis presents a new analytical approximate approach for solving non-linear initial value problems using Taylors' expansion technique. This approach uses derivative components of Taylors' series expansion as a key in its construction. The new approach gave us analytical solutions for some non-linear problems. Naturally, these solutions are in the form of a power series, and its coefficients represent to the nonlinear terms (sometime linear and nonlinear) in the NPDE. The effectiveness of this approach is demonstrated through several examples. These examples are Biological Population model equations, Zakharov¿Kuznetsov equations and system of Burger equations. The new approach leaded to significant improvements both in terms of computational time, convergence and accuracy, and the computational results were reinforced by the convergence theorems proofs theoretically. The tables and figures of the new analytical approximate solutions show the validity, usefulness, and importance of the new approach. Moreover, we can consider that this approach is a well-developed mathematical tool to solving non-linear partial differential equations comparing with the other existing methods.Books on Demand GmbH, Überseering 33, 22297 Hamburg 88 pp. Englisch. Seller Inventory # 9786139454730
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A New Analytical Approximate Approach for Non-Linear Initial Value: Problems
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A New Analytical Approximate Approach for Non-Linear Initial Value: Problems
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ISBN 13: 9786139454730
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