Solution of two-dimensional fractional diffusion equation by a novel hybrid D(TQ) method
This work is an experiment to solve the fractional diffusion equation in two dimensions with a novel hybrid method. The method involves an amalgamation of the well-known differential transform method and the differential quadrature method. This work is not about the superiority of one method over th...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2022-04-01
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| Series: | Nonlinear Engineering |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/nleng-2022-0017 |
| _version_ | 1811235750928187392 |
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| author | Devshali Pratiksha Arora Geeta |
| author_facet | Devshali Pratiksha Arora Geeta |
| author_sort | Devshali Pratiksha |
| collection | DOAJ |
| description | This work is an experiment to solve the fractional diffusion equation in two dimensions with a novel hybrid method. The method involves an amalgamation of the well-known differential transform method and the differential quadrature method. This work is not about the superiority of one method over the other, instead this is an idea that can be worked upon for possible greatness. Numerical examples are discussed with tables and figures. |
| first_indexed | 2024-04-12T11:57:12Z |
| format | Article |
| id | doaj.art-b498f2240de243429d48aef615a7c0b1 |
| institution | Directory Open Access Journal |
| issn | 2192-8029 |
| language | English |
| last_indexed | 2024-04-12T11:57:12Z |
| publishDate | 2022-04-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Nonlinear Engineering |
| spelling | doaj.art-b498f2240de243429d48aef615a7c0b12022-12-22T03:33:57ZengDe GruyterNonlinear Engineering2192-80292022-04-0111113514210.1515/nleng-2022-0017Solution of two-dimensional fractional diffusion equation by a novel hybrid D(TQ) methodDevshali Pratiksha0Arora Geeta1Department of Mathematics, Lovely Faculty of Technology and Sciences, Lovely Professional University, 144411, Phagwara, IndiaDepartment of Mathematics, Lovely Faculty of Technology and Sciences, Lovely Professional University, 144411, Phagwara, IndiaThis work is an experiment to solve the fractional diffusion equation in two dimensions with a novel hybrid method. The method involves an amalgamation of the well-known differential transform method and the differential quadrature method. This work is not about the superiority of one method over the other, instead this is an idea that can be worked upon for possible greatness. Numerical examples are discussed with tables and figures.https://doi.org/10.1515/nleng-2022-0017differential transform methoddifferential quadrature methodfractional diffusion equation |
| spellingShingle | Devshali Pratiksha Arora Geeta Solution of two-dimensional fractional diffusion equation by a novel hybrid D(TQ) method Nonlinear Engineering differential transform method differential quadrature method fractional diffusion equation |
| title | Solution of two-dimensional fractional diffusion equation by a novel hybrid D(TQ) method |
| title_full | Solution of two-dimensional fractional diffusion equation by a novel hybrid D(TQ) method |
| title_fullStr | Solution of two-dimensional fractional diffusion equation by a novel hybrid D(TQ) method |
| title_full_unstemmed | Solution of two-dimensional fractional diffusion equation by a novel hybrid D(TQ) method |
| title_short | Solution of two-dimensional fractional diffusion equation by a novel hybrid D(TQ) method |
| title_sort | solution of two dimensional fractional diffusion equation by a novel hybrid d tq method |
| topic | differential transform method differential quadrature method fractional diffusion equation |
| url | https://doi.org/10.1515/nleng-2022-0017 |
| work_keys_str_mv | AT devshalipratiksha solutionoftwodimensionalfractionaldiffusionequationbyanovelhybriddtqmethod AT arorageeta solutionoftwodimensionalfractionaldiffusionequationbyanovelhybriddtqmethod |