طريقه عددية لحساب التكاملات الثنائية ذات المكاملات المعتلة و المعتلة المشتقة باستخدام قاعدة النقطة الوسطى عندما تكون إعداد الفترات الجزئية على البعدين غير متساوية
The main aim of this search is to derive method to find the values of the double integrals numerically its integrands have singularity at partial derivatives or the integrands are singular in one point or more of region of the integrals by using midpoint rule on the two dimensions (interior and exte...
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| Veröffentlicht in: | Journal of Kufa for Mathematics and Computer 2015, Vol.2 (3), p.9-22 |
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| creator | حسن علي محمد الزبيدي، زينب فليح حسن سرمد رحمن حسين |
| description | The main aim of this search is to derive
method to find the values of the double
integrals numerically its integrands have
singularity at partial derivatives or the
integrands are singular in one point or
more of region of the integrals by using
midpoint rule on the two dimensions
(interior and exterior ) and how to find
the general form of the errors (correction
terms) with improve the result by using
Romberg acceleration[1],[5]by depending
on the correction terms that we found it
when the number of subintervals (n) that
divided integral interval on the interior
dimension not equal to the number of
subintervals (m) on the exterior dimension
, that is mean 1 2 (h h ) when means
the distances between the ordinates on the
axis and is the distances between the
ordinates on the axis and we denote to
this method by and we can depend on it to calculate the double integrals
because it gave high accuracy in results by
few subintervals (we will take particular
case when
n m 2
, that is mean
1 2
1
( )
2
h h
to able us to use Romberg acceleration on
the integrals that we study it ) . |
| format | Article |
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method to find the values of the double
integrals numerically its integrands have
singularity at partial derivatives or the
integrands are singular in one point or
more of region of the integrals by using
midpoint rule on the two dimensions
(interior and exterior ) and how to find
the general form of the errors (correction
terms) with improve the result by using
Romberg acceleration[1],[5]by depending
on the correction terms that we found it
when the number of subintervals (n) that
divided integral interval on the interior
dimension not equal to the number of
subintervals (m) on the exterior dimension
, that is mean 1 2 (h h ) when means
the distances between the ordinates on the
axis and is the distances between the
ordinates on the axis and we denote to
this method by and we can depend on it to calculate the double integrals
because it gave high accuracy in results by
few subintervals (we will take particular
case when
n m 2
, that is mean
1 2
1
( )
2
h h
to able us to use Romberg acceleration on
the integrals that we study it ) .</description><identifier>ISSN: 2076-1171</identifier><identifier>EISSN: 2518-0010</identifier><language>ara ; eng</language><publisher>Najaf, Iraq: University of Kufa, Faculty of Mathematics and Computers Science</publisher><ispartof>Journal of Kufa for Mathematics and Computer, 2015, Vol.2 (3), p.9-22</ispartof><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,777,781</link.rule.ids></links><search><creatorcontrib>حسن علي محمد</creatorcontrib><creatorcontrib>الزبيدي، زينب فليح حسن</creatorcontrib><creatorcontrib>سرمد رحمن حسين</creatorcontrib><title>طريقه عددية لحساب التكاملات الثنائية ذات المكاملات المعتلة و المعتلة المشتقة باستخدام قاعدة النقطة الوسطى عندما تكون إعداد الفترات الجزئية على البعدين غير متساوية</title><title>Journal of Kufa for Mathematics and Computer</title><description>The main aim of this search is to derive
method to find the values of the double
integrals numerically its integrands have
singularity at partial derivatives or the
integrands are singular in one point or
more of region of the integrals by using
midpoint rule on the two dimensions
(interior and exterior ) and how to find
the general form of the errors (correction
terms) with improve the result by using
Romberg acceleration[1],[5]by depending
on the correction terms that we found it
when the number of subintervals (n) that
divided integral interval on the interior
dimension not equal to the number of
subintervals (m) on the exterior dimension
, that is mean 1 2 (h h ) when means
the distances between the ordinates on the
axis and is the distances between the
ordinates on the axis and we denote to
this method by and we can depend on it to calculate the double integrals
because it gave high accuracy in results by
few subintervals (we will take particular
case when
n m 2
, that is mean
1 2
1
( )
2
h h
to able us to use Romberg acceleration on
the integrals that we study it ) .</description><issn>2076-1171</issn><issn>2518-0010</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2015</creationdate><recordtype>article</recordtype><recordid>eNqFUMtKw1AUjKJg0X6CcH8gcBNto2tR_AD3JYsUFAVpVi6tNqb9D73x-oixQqhfMudvnDyq0I2rc2bOzDCcdafj97wDV2tPb3DXQd_1vMDbcrpxfKG19g_9fR34nTUXJQqZyVgeFBbIkcsMz0ru8YY5DDIFQ2DljnPCzcA21IskBE-1HB-_PEWrUpkw2ZJgbrrKtPCLcFzBjLY5LN7ZhTGKrKmLtdKERLkEKaWlTNmcZXLGGFVVlVQShcfaZpA32luGFn_1X_G5LL_gddqwWeXhO2j_5rFQzLTVIxhJ7Y6zOQwv46jbzm1n9-T47OjUja7CUTQMB9ejc243g34v4I_3_rv_ANWG7NQ</recordid><startdate>2015</startdate><enddate>2015</enddate><creator>حسن علي محمد</creator><creator>الزبيدي، زينب فليح حسن</creator><creator>سرمد رحمن حسين</creator><general>University of Kufa, Faculty of Mathematics and Computers Science</general><scope>ADJCN</scope><scope>AHFXO</scope></search><sort><creationdate>2015</creationdate><title>طريقه عددية لحساب التكاملات الثنائية ذات المكاملات المعتلة و المعتلة المشتقة باستخدام قاعدة النقطة الوسطى عندما تكون إعداد الفترات الجزئية على البعدين غير متساوية</title><author>حسن علي محمد ; الزبيدي، زينب فليح حسن ; سرمد رحمن حسين</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-emarefa_primary_6570293</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>ara ; eng</language><creationdate>2015</creationdate><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>حسن علي محمد</creatorcontrib><creatorcontrib>الزبيدي، زينب فليح حسن</creatorcontrib><creatorcontrib>سرمد رحمن حسين</creatorcontrib><collection>الدوريات العلمية والإحصائية - e-Marefa Academic and Statistical Periodicals</collection><collection>معرفة - المحتوى العربي الأكاديمي المتكامل - e-Marefa Academic Complete</collection><jtitle>Journal of Kufa for Mathematics and Computer</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>حسن علي محمد</au><au>الزبيدي، زينب فليح حسن</au><au>سرمد رحمن حسين</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>طريقه عددية لحساب التكاملات الثنائية ذات المكاملات المعتلة و المعتلة المشتقة باستخدام قاعدة النقطة الوسطى عندما تكون إعداد الفترات الجزئية على البعدين غير متساوية</atitle><jtitle>Journal of Kufa for Mathematics and Computer</jtitle><date>2015</date><risdate>2015</risdate><volume>2</volume><issue>3</issue><spage>9</spage><epage>22</epage><pages>9-22</pages><issn>2076-1171</issn><eissn>2518-0010</eissn><abstract>The main aim of this search is to derive
method to find the values of the double
integrals numerically its integrands have
singularity at partial derivatives or the
integrands are singular in one point or
more of region of the integrals by using
midpoint rule on the two dimensions
(interior and exterior ) and how to find
the general form of the errors (correction
terms) with improve the result by using
Romberg acceleration[1],[5]by depending
on the correction terms that we found it
when the number of subintervals (n) that
divided integral interval on the interior
dimension not equal to the number of
subintervals (m) on the exterior dimension
, that is mean 1 2 (h h ) when means
the distances between the ordinates on the
axis and is the distances between the
ordinates on the axis and we denote to
this method by and we can depend on it to calculate the double integrals
because it gave high accuracy in results by
few subintervals (we will take particular
case when
n m 2
, that is mean
1 2
1
( )
2
h h
to able us to use Romberg acceleration on
the integrals that we study it ) .</abstract><cop>Najaf, Iraq</cop><pub>University of Kufa, Faculty of Mathematics and Computers Science</pub><tpages>14 ص.</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 2076-1171 |
| ispartof | Journal of Kufa for Mathematics and Computer, 2015, Vol.2 (3), p.9-22 |
| issn | 2076-1171 2518-0010 |
| language | ara ; eng |
| recordid | cdi_emarefa_primary_657029 |
| source | DOAJ Directory of Open Access Journals |
| title | طريقه عددية لحساب التكاملات الثنائية ذات المكاملات المعتلة و المعتلة المشتقة باستخدام قاعدة النقطة الوسطى عندما تكون إعداد الفترات الجزئية على البعدين غير متساوية |
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