New generalized operational matrix of integration to solve nonlinear singular boundary value problems using Hermite wavelets
In this article, we developed new operational matrix of integration using Hermite wavelets and represented in generalized form also contributed a new algorithm (Hermite wavelets operational matrix method) for obtaining solutions of second-order nonlinear singular boundary value problems. The propert...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Taylor & Francis Group
2019-01-01
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| Series: | Arab Journal of Basic and Applied Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1080/25765299.2019.1646090 |
| _version_ | 1818245160587231232 |
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| author | Siddu Channabasappa Shiralashetti Srinivasa Kumbinarasaiah |
| author_facet | Siddu Channabasappa Shiralashetti Srinivasa Kumbinarasaiah |
| author_sort | Siddu Channabasappa Shiralashetti |
| collection | DOAJ |
| description | In this article, we developed new operational matrix of integration using Hermite wavelets and represented in generalized form also contributed a new algorithm (Hermite wavelets operational matrix method) for obtaining solutions of second-order nonlinear singular boundary value problems. The properties of Hermite wavelets are used to convert the problems into system of algebraic equations which can be efficiently solved by suitable solvers. Illustrative numerical examples are considered to demonstrate the applicability of this technique and those results are comparing favourably with the exact solutions. Also we have discussed some properties of Hermite wavelets and theorems on Hermite space. |
| first_indexed | 2024-12-12T14:28:30Z |
| format | Article |
| id | doaj.art-e6e68242ae064bd981026cd82bfb0a8d |
| institution | Directory Open Access Journal |
| issn | 2576-5299 |
| language | English |
| last_indexed | 2024-12-12T14:28:30Z |
| publishDate | 2019-01-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | Arab Journal of Basic and Applied Sciences |
| spelling | doaj.art-e6e68242ae064bd981026cd82bfb0a8d2022-12-22T00:21:37ZengTaylor & Francis GroupArab Journal of Basic and Applied Sciences2576-52992019-01-0126138539610.1080/25765299.2019.16460901646090New generalized operational matrix of integration to solve nonlinear singular boundary value problems using Hermite waveletsSiddu Channabasappa Shiralashetti0Srinivasa Kumbinarasaiah1Karnatak UniversityKarnatak UniversityIn this article, we developed new operational matrix of integration using Hermite wavelets and represented in generalized form also contributed a new algorithm (Hermite wavelets operational matrix method) for obtaining solutions of second-order nonlinear singular boundary value problems. The properties of Hermite wavelets are used to convert the problems into system of algebraic equations which can be efficiently solved by suitable solvers. Illustrative numerical examples are considered to demonstrate the applicability of this technique and those results are comparing favourably with the exact solutions. Also we have discussed some properties of Hermite wavelets and theorems on Hermite space.http://dx.doi.org/10.1080/25765299.2019.1646090hermite waveletsnonlinear singular boundary value problemscollocation methodoperational matrix of integrationbanach space |
| spellingShingle | Siddu Channabasappa Shiralashetti Srinivasa Kumbinarasaiah New generalized operational matrix of integration to solve nonlinear singular boundary value problems using Hermite wavelets Arab Journal of Basic and Applied Sciences hermite wavelets nonlinear singular boundary value problems collocation method operational matrix of integration banach space |
| title | New generalized operational matrix of integration to solve nonlinear singular boundary value problems using Hermite wavelets |
| title_full | New generalized operational matrix of integration to solve nonlinear singular boundary value problems using Hermite wavelets |
| title_fullStr | New generalized operational matrix of integration to solve nonlinear singular boundary value problems using Hermite wavelets |
| title_full_unstemmed | New generalized operational matrix of integration to solve nonlinear singular boundary value problems using Hermite wavelets |
| title_short | New generalized operational matrix of integration to solve nonlinear singular boundary value problems using Hermite wavelets |
| title_sort | new generalized operational matrix of integration to solve nonlinear singular boundary value problems using hermite wavelets |
| topic | hermite wavelets nonlinear singular boundary value problems collocation method operational matrix of integration banach space |
| url | http://dx.doi.org/10.1080/25765299.2019.1646090 |
| work_keys_str_mv | AT sidduchannabasappashiralashetti newgeneralizedoperationalmatrixofintegrationtosolvenonlinearsingularboundaryvalueproblemsusinghermitewavelets AT srinivasakumbinarasaiah newgeneralizedoperationalmatrixofintegrationtosolvenonlinearsingularboundaryvalueproblemsusinghermitewavelets |