Solving Integro-Differential Boundary Value Problems Using Sinc-Derivative Collocation
<p dir="ltr">In this paper, the sinc-derivative collocation approach is used to solve second order integro-differential boundary value problems. While the derivative of the unknown variables is interpolated using sinc numerical methods, the desired solution and the integral terms are...
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2020
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| _version_ | 1864513564180480000 |
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| author | Kenzu Abdella (16494140) |
| author2 | Glen Ross (16494142) |
| author2_role | author |
| author_facet | Kenzu Abdella (16494140) Glen Ross (16494142) |
| author_role | author |
| dc.creator.none.fl_str_mv | Kenzu Abdella (16494140) Glen Ross (16494142) |
| dc.date.none.fl_str_mv | 2020-09-22T00:00:00Z |
| dc.identifier.none.fl_str_mv | 10.3390/math8091637 |
| dc.relation.none.fl_str_mv | https://figshare.com/articles/journal_contribution/Solving_Integro-Differential_Boundary_Value_Problems_Using_Sinc-Derivative_Collocation/23626590 |
| dc.rights.none.fl_str_mv | CC BY 4.0 info:eu-repo/semantics/openAccess |
| dc.subject.none.fl_str_mv | Mathematical sciences Numerical and computational mathematics Pure mathematics integro-differential equation boundary value problems sinc-derivative numerical methods sinc-collocation |
| dc.title.none.fl_str_mv | Solving Integro-Differential Boundary Value Problems Using Sinc-Derivative Collocation |
| dc.type.none.fl_str_mv | Text Journal contribution info:eu-repo/semantics/publishedVersion text contribution to journal |
| description | <p dir="ltr">In this paper, the sinc-derivative collocation approach is used to solve second order integro-differential boundary value problems. While the derivative of the unknown variables is interpolated using sinc numerical methods, the desired solution and the integral terms are evaluated through numerical integration and all higher order derivatives are approximated through successive numerical differentiation. Suitable transformations are used to reduce non-homogeneous boundary conditions to homogeneous. Comparison of the proposed method with different approaches that were previously considered in the literature is carried out in order to test its accuracy and efficiency. The results show that the sinc-derivative collocation method performs well.</p><h2>Other Information</h2><p dir="ltr">Published in: Mathematics<br>License: <a href="https://creativecommons.org/licenses/by/4.0/" target="_blank">https://creativecommons.org/licenses/by/4.0/</a><br>See article on publisher's website: <a href="http://dx.doi.org/10.3390/math8091637" target="_blank">http://dx.doi.org/10.3390/math8091637</a></p> |
| eu_rights_str_mv | openAccess |
| id | Manara2_db7c2803d7989b398fd41a76dba57a18 |
| identifier_str_mv | 10.3390/math8091637 |
| network_acronym_str | Manara2 |
| network_name_str | Manara2 |
| oai_identifier_str | oai:figshare.com:article/23626590 |
| publishDate | 2020 |
| repository.mail.fl_str_mv | |
| repository.name.fl_str_mv | |
| repository_id_str | |
| rights_invalid_str_mv | CC BY 4.0 |
| spelling | Solving Integro-Differential Boundary Value Problems Using Sinc-Derivative CollocationKenzu Abdella (16494140)Glen Ross (16494142)Mathematical sciencesNumerical and computational mathematicsPure mathematicsintegro-differential equationboundary value problemssinc-derivativenumerical methodssinc-collocation<p dir="ltr">In this paper, the sinc-derivative collocation approach is used to solve second order integro-differential boundary value problems. While the derivative of the unknown variables is interpolated using sinc numerical methods, the desired solution and the integral terms are evaluated through numerical integration and all higher order derivatives are approximated through successive numerical differentiation. Suitable transformations are used to reduce non-homogeneous boundary conditions to homogeneous. Comparison of the proposed method with different approaches that were previously considered in the literature is carried out in order to test its accuracy and efficiency. The results show that the sinc-derivative collocation method performs well.</p><h2>Other Information</h2><p dir="ltr">Published in: Mathematics<br>License: <a href="https://creativecommons.org/licenses/by/4.0/" target="_blank">https://creativecommons.org/licenses/by/4.0/</a><br>See article on publisher's website: <a href="http://dx.doi.org/10.3390/math8091637" target="_blank">http://dx.doi.org/10.3390/math8091637</a></p>2020-09-22T00:00:00ZTextJournal contributioninfo:eu-repo/semantics/publishedVersiontextcontribution to journal10.3390/math8091637https://figshare.com/articles/journal_contribution/Solving_Integro-Differential_Boundary_Value_Problems_Using_Sinc-Derivative_Collocation/23626590CC BY 4.0info:eu-repo/semantics/openAccessoai:figshare.com:article/236265902020-09-22T00:00:00Z |
| spellingShingle | Solving Integro-Differential Boundary Value Problems Using Sinc-Derivative Collocation Kenzu Abdella (16494140) Mathematical sciences Numerical and computational mathematics Pure mathematics integro-differential equation boundary value problems sinc-derivative numerical methods sinc-collocation |
| status_str | publishedVersion |
| title | Solving Integro-Differential Boundary Value Problems Using Sinc-Derivative Collocation |
| title_full | Solving Integro-Differential Boundary Value Problems Using Sinc-Derivative Collocation |
| title_fullStr | Solving Integro-Differential Boundary Value Problems Using Sinc-Derivative Collocation |
| title_full_unstemmed | Solving Integro-Differential Boundary Value Problems Using Sinc-Derivative Collocation |
| title_short | Solving Integro-Differential Boundary Value Problems Using Sinc-Derivative Collocation |
| title_sort | Solving Integro-Differential Boundary Value Problems Using Sinc-Derivative Collocation |
| topic | Mathematical sciences Numerical and computational mathematics Pure mathematics integro-differential equation boundary value problems sinc-derivative numerical methods sinc-collocation |