RANGAIG TRANSFORMS BASED HAM FOR SOLVING SOME TWO- DIMENSIONAL PDES
This research presents a formulation of a hybrid scheme for the approximate solution of “Two-Dimensional Partial Differential Equations” (PDEs) used in engineering applications and several scientific. This approach combines the “Rangaig Transform with the Homotopy Analysis Method (HAM)” to form an...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Institute of Mechanics of Continua and Mathematical Sciences
2025-01-01
|
| Series: | Journal of Mechanics of Continua and Mathematical Sciences |
| Subjects: | |
| Online Access: | https://jmcms.s3.amazonaws.com/wp-content/uploads/2025/01/18082352/jmcms-2501036-RANGAIG-TRANSFORMS-BASED-HAM-IS-SS.pdf |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849391166669193216 |
|---|---|
| author | Inderdeep Singh Sandeep Sharma |
| author_facet | Inderdeep Singh Sandeep Sharma |
| author_sort | Inderdeep Singh |
| collection | DOAJ |
| description | This research presents a formulation of a hybrid scheme for the approximate
solution of “Two-Dimensional Partial Differential Equations” (PDEs) used in
engineering applications and several scientific. This approach combines the “Rangaig Transform with the Homotopy Analysis Method (HAM)” to form an efficient and robust explanation technique. Thus, the idea of our hybrid scheme combines the advantages of both approaches to make it easier to solve the given PDE while maintaining the highest accuracy. Several numerical examples have been solved to demonstrate the suggested method, and the outcomes make it evident how straightforward and accurate the method is for handling such a challenging issue. |
| format | Article |
| id | doaj-art-b004705d0b354c438e08f648bae2269c |
| institution | Kabale University |
| issn | 0973-8975 2454-7190 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Institute of Mechanics of Continua and Mathematical Sciences |
| record_format | Article |
| series | Journal of Mechanics of Continua and Mathematical Sciences |
| spelling | doaj-art-b004705d0b354c438e08f648bae2269c2025-08-20T03:41:09ZengInstitute of Mechanics of Continua and Mathematical SciencesJournal of Mechanics of Continua and Mathematical Sciences0973-89752454-71902025-01-0120111513610.26782/jmcms.2025.01.00008RANGAIG TRANSFORMS BASED HAM FOR SOLVING SOME TWO- DIMENSIONAL PDESInderdeep Singh0Sandeep Sharma1Department of Physical Science (Mathematics), Sant Baba Bhag Singh University, Jalandhar-144030, Punjab, India.Department of Physical Science (Mathematics), Sant Baba Bhag Singh University, Jalandhar-144030, Punjab, India.This research presents a formulation of a hybrid scheme for the approximate solution of “Two-Dimensional Partial Differential Equations” (PDEs) used in engineering applications and several scientific. This approach combines the “Rangaig Transform with the Homotopy Analysis Method (HAM)” to form an efficient and robust explanation technique. Thus, the idea of our hybrid scheme combines the advantages of both approaches to make it easier to solve the given PDE while maintaining the highest accuracy. Several numerical examples have been solved to demonstrate the suggested method, and the outcomes make it evident how straightforward and accurate the method is for handling such a challenging issue.https://jmcms.s3.amazonaws.com/wp-content/uploads/2025/01/18082352/jmcms-2501036-RANGAIG-TRANSFORMS-BASED-HAM-IS-SS.pdfrangaig transformhomotopy analysis method2d telegraph equation”2d schrodinger equation2d wave equationtest illustrations |
| spellingShingle | Inderdeep Singh Sandeep Sharma RANGAIG TRANSFORMS BASED HAM FOR SOLVING SOME TWO- DIMENSIONAL PDES Journal of Mechanics of Continua and Mathematical Sciences rangaig transform homotopy analysis method 2d telegraph equation” 2d schrodinger equation 2d wave equation test illustrations |
| title | RANGAIG TRANSFORMS BASED HAM FOR SOLVING SOME TWO- DIMENSIONAL PDES |
| title_full | RANGAIG TRANSFORMS BASED HAM FOR SOLVING SOME TWO- DIMENSIONAL PDES |
| title_fullStr | RANGAIG TRANSFORMS BASED HAM FOR SOLVING SOME TWO- DIMENSIONAL PDES |
| title_full_unstemmed | RANGAIG TRANSFORMS BASED HAM FOR SOLVING SOME TWO- DIMENSIONAL PDES |
| title_short | RANGAIG TRANSFORMS BASED HAM FOR SOLVING SOME TWO- DIMENSIONAL PDES |
| title_sort | rangaig transforms based ham for solving some two dimensional pdes |
| topic | rangaig transform homotopy analysis method 2d telegraph equation” 2d schrodinger equation 2d wave equation test illustrations |
| url | https://jmcms.s3.amazonaws.com/wp-content/uploads/2025/01/18082352/jmcms-2501036-RANGAIG-TRANSFORMS-BASED-HAM-IS-SS.pdf |
| work_keys_str_mv | AT inderdeepsingh rangaigtransformsbasedhamforsolvingsometwodimensionalpdes AT sandeepsharma rangaigtransformsbasedhamforsolvingsometwodimensionalpdes |