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A reliable analytical approach for a fractional model of advection-dispersion equation
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| Zeitschriftentitel: | Nonlinear Engineering |
|---|---|
| Personen und Körperschaften: | , , , |
| In: | Nonlinear Engineering, 8, 2019, 1, S. 107-116 |
| Format: | E-Article |
| Sprache: | Unbestimmt |
| veröffentlicht: |
Walter de Gruyter GmbH
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| Schlagwörter: |
| author_facet |
Singh, Jagdev Secer, Aydin Swroop, Ram Kumar, Devendra Singh, Jagdev Secer, Aydin Swroop, Ram Kumar, Devendra |
|---|---|
| author |
Singh, Jagdev Secer, Aydin Swroop, Ram Kumar, Devendra |
| spellingShingle |
Singh, Jagdev Secer, Aydin Swroop, Ram Kumar, Devendra Nonlinear Engineering A reliable analytical approach for a fractional model of advection-dispersion equation Computer Networks and Communications General Engineering Modeling and Simulation General Chemical Engineering |
| author_sort |
singh, jagdev |
| spelling |
Singh, Jagdev Secer, Aydin Swroop, Ram Kumar, Devendra 2192-8010 2192-8029 Walter de Gruyter GmbH Computer Networks and Communications General Engineering Modeling and Simulation General Chemical Engineering http://dx.doi.org/10.1515/nleng-2018-0027 <jats:title>Abstract</jats:title><jats:p>Empirical investigations of solute fate and carrying in streams and rivers often contain inventive liberate of solutes at an upstream perimeter for a finite interval of time. An analysis of various worth references on surface-water-grade mathematical formulation reveals that the logical solution to the continual-parameter advection- dispersion problem for this type of boundary state has been generally missed. In this work, we study the<jats:italic>q</jats:italic>-fractional homotopy analysis transform method (<jats:italic>q</jats:italic>-FHATM) to find the analytical and approximate solutions of space-time arbitrary order advection-dispersion equations with nonlocal effects. The diagrammatical representation is done by using Maple package, which enhance the discretion and stability of family of<jats:italic>q</jats:italic>-FHATM series solutions of fractional advection-dispersion equations. The efficiency of the applied technique is demonstrated by using three numerical examples of space- and time-fractional advection-dispersion equations.</jats:p> A reliable analytical approach for a fractional model of advection-dispersion equation Nonlinear Engineering |
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| title |
A reliable analytical approach for a fractional model of advection-dispersion equation |
| title_unstemmed |
A reliable analytical approach for a fractional model of advection-dispersion equation |
| title_full |
A reliable analytical approach for a fractional model of advection-dispersion equation |
| title_fullStr |
A reliable analytical approach for a fractional model of advection-dispersion equation |
| title_full_unstemmed |
A reliable analytical approach for a fractional model of advection-dispersion equation |
| title_short |
A reliable analytical approach for a fractional model of advection-dispersion equation |
| title_sort |
a reliable analytical approach for a fractional model of advection-dispersion equation |
| topic |
Computer Networks and Communications General Engineering Modeling and Simulation General Chemical Engineering |
| url |
http://dx.doi.org/10.1515/nleng-2018-0027 |
| publishDate |
2019 |
| physical |
107-116 |
| description |
<jats:title>Abstract</jats:title><jats:p>Empirical investigations of solute fate and carrying in streams and rivers often contain inventive liberate of solutes at an upstream perimeter for a finite interval of time. An analysis of various worth references on surface-water-grade mathematical formulation reveals that the logical solution to the continual-parameter advection- dispersion problem for this type of boundary state has been generally missed. In this work, we study the<jats:italic>q</jats:italic>-fractional homotopy analysis transform method (<jats:italic>q</jats:italic>-FHATM) to find the analytical and approximate solutions of space-time arbitrary order advection-dispersion equations with nonlocal effects. The diagrammatical representation is done by using Maple package, which enhance the discretion and stability of family of<jats:italic>q</jats:italic>-FHATM series solutions of fractional advection-dispersion equations. The efficiency of the applied technique is demonstrated by using three numerical examples of space- and time-fractional advection-dispersion equations.</jats:p> |
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| author | Singh, Jagdev, Secer, Aydin, Swroop, Ram, Kumar, Devendra |
| author_facet | Singh, Jagdev, Secer, Aydin, Swroop, Ram, Kumar, Devendra, Singh, Jagdev, Secer, Aydin, Swroop, Ram, Kumar, Devendra |
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| description | <jats:title>Abstract</jats:title><jats:p>Empirical investigations of solute fate and carrying in streams and rivers often contain inventive liberate of solutes at an upstream perimeter for a finite interval of time. An analysis of various worth references on surface-water-grade mathematical formulation reveals that the logical solution to the continual-parameter advection- dispersion problem for this type of boundary state has been generally missed. In this work, we study the<jats:italic>q</jats:italic>-fractional homotopy analysis transform method (<jats:italic>q</jats:italic>-FHATM) to find the analytical and approximate solutions of space-time arbitrary order advection-dispersion equations with nonlocal effects. The diagrammatical representation is done by using Maple package, which enhance the discretion and stability of family of<jats:italic>q</jats:italic>-FHATM series solutions of fractional advection-dispersion equations. The efficiency of the applied technique is demonstrated by using three numerical examples of space- and time-fractional advection-dispersion equations.</jats:p> |
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| spelling | Singh, Jagdev Secer, Aydin Swroop, Ram Kumar, Devendra 2192-8010 2192-8029 Walter de Gruyter GmbH Computer Networks and Communications General Engineering Modeling and Simulation General Chemical Engineering http://dx.doi.org/10.1515/nleng-2018-0027 <jats:title>Abstract</jats:title><jats:p>Empirical investigations of solute fate and carrying in streams and rivers often contain inventive liberate of solutes at an upstream perimeter for a finite interval of time. An analysis of various worth references on surface-water-grade mathematical formulation reveals that the logical solution to the continual-parameter advection- dispersion problem for this type of boundary state has been generally missed. In this work, we study the<jats:italic>q</jats:italic>-fractional homotopy analysis transform method (<jats:italic>q</jats:italic>-FHATM) to find the analytical and approximate solutions of space-time arbitrary order advection-dispersion equations with nonlocal effects. The diagrammatical representation is done by using Maple package, which enhance the discretion and stability of family of<jats:italic>q</jats:italic>-FHATM series solutions of fractional advection-dispersion equations. The efficiency of the applied technique is demonstrated by using three numerical examples of space- and time-fractional advection-dispersion equations.</jats:p> A reliable analytical approach for a fractional model of advection-dispersion equation Nonlinear Engineering |
| spellingShingle | Singh, Jagdev, Secer, Aydin, Swroop, Ram, Kumar, Devendra, Nonlinear Engineering, A reliable analytical approach for a fractional model of advection-dispersion equation, Computer Networks and Communications, General Engineering, Modeling and Simulation, General Chemical Engineering |
| title | A reliable analytical approach for a fractional model of advection-dispersion equation |
| title_full | A reliable analytical approach for a fractional model of advection-dispersion equation |
| title_fullStr | A reliable analytical approach for a fractional model of advection-dispersion equation |
| title_full_unstemmed | A reliable analytical approach for a fractional model of advection-dispersion equation |
| title_short | A reliable analytical approach for a fractional model of advection-dispersion equation |
| title_sort | a reliable analytical approach for a fractional model of advection-dispersion equation |
| title_unstemmed | A reliable analytical approach for a fractional model of advection-dispersion equation |
| topic | Computer Networks and Communications, General Engineering, Modeling and Simulation, General Chemical Engineering |
| url | http://dx.doi.org/10.1515/nleng-2018-0027 |