Numerical Solution of The Seventh Order Boundary Value Problems using B-spline Method
We develop a numerical method for solving the boundary value problem of The Linear Seventh Ordinary Boundary Value Problem by using seventh degree B-Spline function. Formulation is based on particular terms of order of seventh order boundary value problem. We obtain Septic B-Spline formulation and t...
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| creator | Khazaei, Maryam Karamipour, Yeganeh |
| description | We develop a numerical method for solving the boundary value problem of The
Linear Seventh Ordinary Boundary Value Problem by using seventh degree B-Spline
function. Formulation is based on particular terms of order of seventh order
boundary value problem. We obtain Septic B-Spline formulation and the
Collocation B-spline Method is formulated as an approximation solution. We
apply the presented method to solve an example of seventh-order boundary value
problem which the results show that there is an agreement between approximate
solutions and exact solutions. Resulting low absolute errors show that the
presented numerical method is effective for solving high order boundary value
problems. Finally, a general conclusion has been included. |
| doi_str_mv | 10.48550/arxiv.2109.06030 |
| format | Article |
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Linear Seventh Ordinary Boundary Value Problem by using seventh degree B-Spline
function. Formulation is based on particular terms of order of seventh order
boundary value problem. We obtain Septic B-Spline formulation and the
Collocation B-spline Method is formulated as an approximation solution. We
apply the presented method to solve an example of seventh-order boundary value
problem which the results show that there is an agreement between approximate
solutions and exact solutions. Resulting low absolute errors show that the
presented numerical method is effective for solving high order boundary value
problems. Finally, a general conclusion has been included.</description><identifier>DOI: 10.48550/arxiv.2109.06030</identifier><language>eng</language><subject>Computer Science - Numerical Analysis ; Mathematics - Numerical Analysis</subject><creationdate>2021-09</creationdate><rights>http://creativecommons.org/licenses/by/4.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,780,885</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/2109.06030$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.2109.06030$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Khazaei, Maryam</creatorcontrib><creatorcontrib>Karamipour, Yeganeh</creatorcontrib><title>Numerical Solution of The Seventh Order Boundary Value Problems using B-spline Method</title><description>We develop a numerical method for solving the boundary value problem of The
Linear Seventh Ordinary Boundary Value Problem by using seventh degree B-Spline
function. Formulation is based on particular terms of order of seventh order
boundary value problem. We obtain Septic B-Spline formulation and the
Collocation B-spline Method is formulated as an approximation solution. We
apply the presented method to solve an example of seventh-order boundary value
problem which the results show that there is an agreement between approximate
solutions and exact solutions. Resulting low absolute errors show that the
presented numerical method is effective for solving high order boundary value
problems. Finally, a general conclusion has been included.</description><subject>Computer Science - Numerical Analysis</subject><subject>Mathematics - Numerical Analysis</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNotz8tOwzAQhWFvWKDCA7BiXiBhEl9qL2nFTSoUqYFt5MQTYsmNKyep4O2Bwursfp2PsasCc6GlxBubPv0xLws0OSrkeM7eXuY9Jd_aALsY5snHAWIHVU-woyMNUw_b5CjBKs6Ds-kL3m2YCV5TbALtR5hHP3zAKhsPwQ8EzzT10V2ws86GkS7_d8Gq-7tq_Zhttg9P69tNZtUSM01lK21pJaJATqoxwrhOcNmSUbbhTbdEZVohCm6MFto5Ry2W0nVON0ZpvmDXf9mTqz4kv_95WP_66pOPfwO5dksM</recordid><startdate>20210913</startdate><enddate>20210913</enddate><creator>Khazaei, Maryam</creator><creator>Karamipour, Yeganeh</creator><scope>AKY</scope><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20210913</creationdate><title>Numerical Solution of The Seventh Order Boundary Value Problems using B-spline Method</title><author>Khazaei, Maryam ; Karamipour, Yeganeh</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a670-8e2c5a2a500403e6b949df435ce96ab3bf7069c441399848dddec025dfd8b9683</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2021</creationdate><topic>Computer Science - Numerical Analysis</topic><topic>Mathematics - Numerical Analysis</topic><toplevel>online_resources</toplevel><creatorcontrib>Khazaei, Maryam</creatorcontrib><creatorcontrib>Karamipour, Yeganeh</creatorcontrib><collection>arXiv Computer Science</collection><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Khazaei, Maryam</au><au>Karamipour, Yeganeh</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Numerical Solution of The Seventh Order Boundary Value Problems using B-spline Method</atitle><date>2021-09-13</date><risdate>2021</risdate><abstract>We develop a numerical method for solving the boundary value problem of The
Linear Seventh Ordinary Boundary Value Problem by using seventh degree B-Spline
function. Formulation is based on particular terms of order of seventh order
boundary value problem. We obtain Septic B-Spline formulation and the
Collocation B-spline Method is formulated as an approximation solution. We
apply the presented method to solve an example of seventh-order boundary value
problem which the results show that there is an agreement between approximate
solutions and exact solutions. Resulting low absolute errors show that the
presented numerical method is effective for solving high order boundary value
problems. Finally, a general conclusion has been included.</abstract><doi>10.48550/arxiv.2109.06030</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Computer Science - Numerical Analysis Mathematics - Numerical Analysis |
| title | Numerical Solution of The Seventh Order Boundary Value Problems using B-spline Method |
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