Modified Homotopy Analysis Method: Application To Linear And Nonlinear Ordinary Differential Equations Of Fractional Order - Brossura
Sinossi
We present a modification of an analytic technique, namely the homotopy analysis method (HAM) to obtain symbolic approximate solutions for linear and nonlinear differential equations of fractional order. This method was applied to three examples: a fractional oscillation equation, a fractional Riccati equation and a fractional Lane-Emden equation which were presented as fractional initial value problems (FIVPs). We extend this modification to provide approximate solutions of linear and nonlinear fractional boundary value problems (FBVPs). Four examples are tested using the extended approach. Also, four physical problems are solved using the modification of the HAM. The HAM is a strong and easy-to-use analytic tool for nonlinear problems and does not need small / large parameters in the equations.Comparison of the results with those of Adomian decomposition method (ADM),variational iteration method (VIM), and homotopy perturbation method (HPM), has led us to significant consequences. The obtained results show that the present method is very effective and convenient in solving nonlinear cases and the ADM, VIM and HPM are special cases of the HAM.
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L'autore
Assistant Professor of Applied Mathematics,Al-Balqa' Applied University/Jordan (www.bau.edu.jo)
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Modified Homotopy Analysis Method
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LAP LAMBERT Academic Publishing Jun 2014, 2014
ISBN 10: 3659554871
ISBN 13: 9783659554872
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Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -We present a modification of an analytic technique, namely the homotopy analysis method (HAM) to obtain symbolic approximate solutions for linear and nonlinear differential equations of fractional order. This method was applied to three examples: a fractional oscillation equation, a fractional Riccati equation and a fractional Lane-Emden equation which were presented as fractional initial value problems (FIVPs). We extend this modification to provide approximate solutions of linear and nonlinear fractional boundary value problems (FBVPs). Four examples are tested using the extended approach. Also, four physical problems are solved using the modification of the HAM. The HAM is a strong and easy-to-use analytic tool for nonlinear problems and does not need small / large parameters in the equations.Comparison of the results with those of Adomian decomposition method (ADM),variational iteration method (VIM), and homotopy perturbation method (HPM), has led us to significant consequences. The obtained results show that the present method is very effective and convenient in solving nonlinear cases and the ADM, VIM and HPM are special cases of the HAM. 144 pp. Englisch. Codice articolo 9783659554872
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Modified Homotopy Analysis Method
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VDM Verlag Dr. Mueller Aktiengesellschaft & Co. KG, 2014
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Modified Homotopy Analysis Method
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LAP LAMBERT Academic Publishing, 2014
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Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Autor/Autorin: El-Ajou AhmadAssistant Professor of Applied Mathematics,Al-Balqa Applied University/Jordan (www.bau.edu.jo)We present a modification of an analytic technique, namely the homotopy analysis method (HAM) to obtain symbolic approxim. Codice articolo 5164512
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Modified Homotopy Analysis Method
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VDM Verlag Dr. Mueller Aktiengesellschaft & Co. KG, 2014
ISBN 10: 3659554871
ISBN 13: 9783659554872
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Condizione: New. Print on Demand pp. 144 2:B&W 6 x 9 in or 229 x 152 mm Perfect Bound on Creme w/Gloss Lam. Codice articolo 131359861
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Modified Homotopy Analysis Method
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VDM Verlag Dr. Mueller Aktiengesellschaft & Co. KG, 2014
ISBN 10: 3659554871
ISBN 13: 9783659554872
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Condizione: New. PRINT ON DEMAND pp. 144. Codice articolo 18128179104
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Modified Homotopy Analysis Method
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LAP LAMBERT Academic Publishing Jun 2014, 2014
ISBN 10: 3659554871
ISBN 13: 9783659554872
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Da: buchversandmimpf2000, Emtmannsberg, BAYE, Germania
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Taschenbuch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -We present a modification of an analytic technique, namely the homotopy analysis method (HAM) to obtain symbolic approximate solutions for linear and nonlinear differential equations of fractional order. This method was applied to three examples: a fractional oscillation equation, a fractional Riccati equation and a fractional Lane-Emden equation which were presented as fractional initial value problems (FIVPs). We extend this modification to provide approximate solutions of linear and nonlinear fractional boundary value problems (FBVPs). Four examples are tested using the extended approach. Also, four physical problems are solved using the modification of the HAM. The HAM is a strong and easy-to-use analytic tool for nonlinear problems and does not need small / large parameters in the equations.Comparison of the results with those of Adomian decomposition method (ADM),variational iteration method (VIM), and homotopy perturbation method (HPM), has led us to significant consequences. The obtained results show that the present method is very effective and convenient in solving nonlinear cases and the ADM, VIM and HPM are special cases of the HAM.VDM Verlag, Dudweiler Landstraße 99, 66123 Saarbrücken 144 pp. Englisch. Codice articolo 9783659554872
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Modified Homotopy Analysis Method : Application To Linear And Nonlinear Ordinary Differential Equations Of Fractional Order
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LAP LAMBERT Academic Publishing, 2014
ISBN 10: 3659554871
ISBN 13: 9783659554872
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Da: AHA-BUCH GmbH, Einbeck, Germania
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Taschenbuch. Condizione: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - We present a modification of an analytic technique, namely the homotopy analysis method (HAM) to obtain symbolic approximate solutions for linear and nonlinear differential equations of fractional order. This method was applied to three examples: a fractional oscillation equation, a fractional Riccati equation and a fractional Lane-Emden equation which were presented as fractional initial value problems (FIVPs). We extend this modification to provide approximate solutions of linear and nonlinear fractional boundary value problems (FBVPs). Four examples are tested using the extended approach. Also, four physical problems are solved using the modification of the HAM. The HAM is a strong and easy-to-use analytic tool for nonlinear problems and does not need small / large parameters in the equations.Comparison of the results with those of Adomian decomposition method (ADM),variational iteration method (VIM), and homotopy perturbation method (HPM), has led us to significant consequences. The obtained results show that the present method is very effective and convenient in solving nonlinear cases and the ADM, VIM and HPM are special cases of the HAM. Codice articolo 9783659554872
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Modified Homotopy Analysis Method | Application To Linear And Nonlinear Ordinary Differential Equations Of Fractional Order
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LAP LAMBERT Academic Publishing, 2014
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ISBN 13: 9783659554872
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Taschenbuch. Condizione: Neu. Modified Homotopy Analysis Method | Application To Linear And Nonlinear Ordinary Differential Equations Of Fractional Order | Ahmad El-Ajou | Taschenbuch | 144 S. | Englisch | 2014 | LAP LAMBERT Academic Publishing | EAN 9783659554872 | Verantwortliche Person für die EU: BoD - Books on Demand, In de Tarpen 42, 22848 Norderstedt, info[at]bod[dot]de | Anbieter: preigu. Codice articolo 105218623
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