A reliable analytical approach for a fractional model of advection-dispersion equation
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...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2019-01-01
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| Series: | Nonlinear Engineering |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/nleng-2018-0027 |
| _version_ | 1818362587700527104 |
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| author | Singh Jagdev Secer Aydin Swroop Ram Kumar Devendra |
| author_facet | Singh Jagdev Secer Aydin Swroop Ram Kumar Devendra |
| author_sort | Singh Jagdev |
| collection | DOAJ |
| description | 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 q-fractional homotopy analysis transform method (q-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 q-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. |
| first_indexed | 2024-12-13T21:34:57Z |
| format | Article |
| id | doaj.art-38ecb7a706e14b4da2c8ee38f13a835a |
| institution | Directory Open Access Journal |
| issn | 2192-8010 2192-8029 |
| language | English |
| last_indexed | 2024-12-13T21:34:57Z |
| publishDate | 2019-01-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Nonlinear Engineering |
| spelling | doaj.art-38ecb7a706e14b4da2c8ee38f13a835a2022-12-21T23:30:41ZengDe GruyterNonlinear Engineering2192-80102192-80292019-01-018110711610.1515/nleng-2018-0027nleng-2018-0027A reliable analytical approach for a fractional model of advection-dispersion equationSingh Jagdev0Secer Aydin1Swroop Ram2Kumar Devendra3Department of Mathematics, JECRC University, Jaipur-303905, Rajasthan, IndiaDepartment of Mathematical Engineering, Yildiz Technical University, Davutpasa, 34210Istanbul, TurkeyDepartment of Mathematics, Arya Institute of Engineering & Technology, Riico Kukas, Jaipur-303101, Rajasthan, IndiaDepartment of Mathematics, JECRC University, Jaipur-303905, Rajasthan, IndiaEmpirical 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 q-fractional homotopy analysis transform method (q-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 q-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.https://doi.org/10.1515/nleng-2018-0027fractional advection-dispersion problemlaplace transform methodq-fractional homotopy analysis transform techniquemittage-leffler function |
| spellingShingle | Singh Jagdev Secer Aydin Swroop Ram Kumar Devendra A reliable analytical approach for a fractional model of advection-dispersion equation Nonlinear Engineering fractional advection-dispersion problem laplace transform method q-fractional homotopy analysis transform technique mittage-leffler function |
| 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 | reliable analytical approach for a fractional model of advection dispersion equation |
| topic | fractional advection-dispersion problem laplace transform method q-fractional homotopy analysis transform technique mittage-leffler function |
| url | https://doi.org/10.1515/nleng-2018-0027 |
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