Solution of Fisher Kolmogorov Petrovsky Equation Driven via Haar Scale-3 Wavelet Collocation Method
The design of the proposed study is to examine the presentation of a novel numerical techniques based on Scale-3 Haar wavelets for a kind of reaction-diffusion system i.e., Fisher KPP (Kolmogorov Petrovsky Piskunove) Equation. Haar scale-3 wavelets are employed to space and time derivatives approxim...
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| Format: | Article |
| Language: | English |
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Ram Arti Publishers
2022-10-01
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| Series: | International Journal of Mathematical, Engineering and Management Sciences |
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| Online Access: | https://ijmems.in/article_detail.php?vid=7&issue_id=34&article_id=457 |
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| author | Ratesh Kumar Sonia Arora |
| author_facet | Ratesh Kumar Sonia Arora |
| author_sort | Ratesh Kumar |
| collection | DOAJ |
| description | The design of the proposed study is to examine the presentation of a novel numerical techniques based on Scale-3 Haar wavelets for a kind of reaction-diffusion system i.e., Fisher KPP (Kolmogorov Petrovsky Piskunove) Equation. Haar scale-3 wavelets are employed to space and time derivatives approximation involved in the system. The collocation approach is applied with space and time variables discretization to construct an implicit and explicit numerical scheme for the reaction-diffusion system. We have used various numerical problems containing non-linearity and different source term to inquest the exactness, efficiency and authenticity of the proposed numerical strategy. In addition, the obtained results are graphically displayed and systematized. Even with a small number of collocation Points, we attain accuracy using the presented technique. |
| first_indexed | 2024-04-12T16:56:40Z |
| format | Article |
| id | doaj.art-596c65e9144c4623953b29521470fd6c |
| institution | Directory Open Access Journal |
| issn | 2455-7749 |
| language | English |
| last_indexed | 2024-04-12T16:56:40Z |
| publishDate | 2022-10-01 |
| publisher | Ram Arti Publishers |
| record_format | Article |
| series | International Journal of Mathematical, Engineering and Management Sciences |
| spelling | doaj.art-596c65e9144c4623953b29521470fd6c2022-12-22T03:24:13ZengRam Arti PublishersInternational Journal of Mathematical, Engineering and Management Sciences2455-77492022-10-0175717729https://doi.org/10.33889/IJMEMS.2022.7.5.047Solution of Fisher Kolmogorov Petrovsky Equation Driven via Haar Scale-3 Wavelet Collocation MethodRatesh Kumar0Sonia Arora1Department of Mathematics, Lovely Professional University, Punjab-144411, India.Department of Mathematics, Lovely Professional University, Punjab-144411, India.The design of the proposed study is to examine the presentation of a novel numerical techniques based on Scale-3 Haar wavelets for a kind of reaction-diffusion system i.e., Fisher KPP (Kolmogorov Petrovsky Piskunove) Equation. Haar scale-3 wavelets are employed to space and time derivatives approximation involved in the system. The collocation approach is applied with space and time variables discretization to construct an implicit and explicit numerical scheme for the reaction-diffusion system. We have used various numerical problems containing non-linearity and different source term to inquest the exactness, efficiency and authenticity of the proposed numerical strategy. In addition, the obtained results are graphically displayed and systematized. Even with a small number of collocation Points, we attain accuracy using the presented technique.https://ijmems.in/article_detail.php?vid=7&issue_id=34&article_id=457fisher kpphaar scale-3collocation pointsreaction-diffusion system |
| spellingShingle | Ratesh Kumar Sonia Arora Solution of Fisher Kolmogorov Petrovsky Equation Driven via Haar Scale-3 Wavelet Collocation Method International Journal of Mathematical, Engineering and Management Sciences fisher kpp haar scale-3 collocation points reaction-diffusion system |
| title | Solution of Fisher Kolmogorov Petrovsky Equation Driven via Haar Scale-3 Wavelet Collocation Method |
| title_full | Solution of Fisher Kolmogorov Petrovsky Equation Driven via Haar Scale-3 Wavelet Collocation Method |
| title_fullStr | Solution of Fisher Kolmogorov Petrovsky Equation Driven via Haar Scale-3 Wavelet Collocation Method |
| title_full_unstemmed | Solution of Fisher Kolmogorov Petrovsky Equation Driven via Haar Scale-3 Wavelet Collocation Method |
| title_short | Solution of Fisher Kolmogorov Petrovsky Equation Driven via Haar Scale-3 Wavelet Collocation Method |
| title_sort | solution of fisher kolmogorov petrovsky equation driven via haar scale 3 wavelet collocation method |
| topic | fisher kpp haar scale-3 collocation points reaction-diffusion system |
| url | https://ijmems.in/article_detail.php?vid=7&issue_id=34&article_id=457 |
| work_keys_str_mv | AT rateshkumar solutionoffisherkolmogorovpetrovskyequationdrivenviahaarscale3waveletcollocationmethod AT soniaarora solutionoffisherkolmogorovpetrovskyequationdrivenviahaarscale3waveletcollocationmethod |