Class information for:
Level 1: LANE EMDEN EQUATION//LANE EMDEN TYPE EQUATIONS//ISOTHERMAL GAS SPHERES

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
26289 258 23.0 49%


Bar chart of Publication_year

Last years might be incomplete

Hierarchy of classes
The table includes all classes above and classes immediately below the current class.


Cluster id Level Cluster label #P
15 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 719832
145 3       MATHEMATICS, APPLIED//SIAM JOURNAL ON NUMERICAL ANALYSIS//FRACTIONAL DIFFERENTIAL EQUATIONS 63904
2408 2             HOMOTOPY PERTURBATION METHOD//VARIATIONAL ITERATION METHOD//ADOMIAN DECOMPOSITION METHOD 4192
26289 1                   LANE EMDEN EQUATION//LANE EMDEN TYPE EQUATIONS//ISOTHERMAL GAS SPHERES 258

Terms with highest relevance score


rank Term termType Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 LANE EMDEN EQUATION authKW 2932076 19% 52% 48
2 LANE EMDEN TYPE EQUATIONS authKW 1101598 4% 85% 11
3 ISOTHERMAL GAS SPHERES authKW 841626 3% 89% 8
4 THOMAS FERMI EQUATION authKW 748287 5% 45% 14
5 EMDEN FOWLER EQUATION authKW 397697 7% 20% 17
6 NOETHER POINT SYMMETRIES authKW 378731 2% 80% 4
7 NOETHER OPERATORS authKW 315608 2% 67% 4
8 SINGULAR IVPS authKW 270520 2% 57% 4
9 INT SYMMETRY ANAL MATH MODELLING address 261072 7% 13% 17
10 BONNOR EBERT GAS SPHERES authKW 236708 1% 100% 2

Web of Science journal categories


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 Mathematics, Applied 2534 40% 0% 102
2 Physics, Mathematical 748 16% 0% 40
3 Mathematics, Interdisciplinary Applications 435 10% 0% 25
4 Astronomy & Astrophysics 347 16% 0% 42
5 Physics, Multidisciplinary 337 18% 0% 46
6 Computer Science, Interdisciplinary Applications 164 7% 0% 19
7 Mathematics 134 11% 0% 29
8 Mechanics 124 9% 0% 22
9 Engineering, General 51 4% 0% 10
10 Physics, Fluids & Plasmas 14 2% 0% 6

Address terms


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 INT SYMMETRY ANAL MATH MODELLING 261072 7% 13% 17
2 CHAIR IND CATALYSTS 118354 0% 100% 1
3 COMP SCI COGNIT MODELING 118354 0% 100% 1
4 CR CASACCIA SP 118 118354 0% 100% 1
5 DIFFERENTIAL EQUAT CONTINUM MECH PLICAT 118354 0% 100% 1
6 TECHNICKA 8 118354 0% 100% 1
7 CONTINUUM MECH PLICAT COMPUTAT PL MAT 59176 0% 50% 1
8 ASTRON FIS TEOR 39450 0% 33% 1
9 PROGRAMA POS MATEMAT 29587 0% 25% 1
10 ELEMENTARY MATH EDUC PROGRAM 23669 0% 20% 1

Journals


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 NEW ASTRONOMY 11578 5% 1% 12
2 INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS 4374 4% 0% 11
3 LETTERE AL NUOVO CIMENTO 4204 3% 0% 8
4 MATHEMATICAL & COMPUTATIONAL APPLICATIONS 3783 1% 2% 2
5 APPLIED MATHEMATICS AND COMPUTATION 2686 8% 0% 20
6 MATHEMATICAL METHODS IN THE APPLIED SCIENCES 2651 3% 0% 9
7 COMPUTER PHYSICS COMMUNICATIONS 1918 4% 0% 11
8 ROMANIAN JOURNAL OF PHYSICS 1548 2% 0% 4
9 JOURNAL OF APPLIED MATHEMATICS 1519 2% 0% 6
10 REVISTA MEXICANA DE ASTRONOMIA Y ASTROFISICA 1500 2% 0% 4

Author Key Words


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class		 LCSH search Wikipedia search
1 LANE EMDEN EQUATION 2932076 19% 52% 48 Search LANE+EMDEN+EQUATION Search LANE+EMDEN+EQUATION
2 LANE EMDEN TYPE EQUATIONS 1101598 4% 85% 11 Search LANE+EMDEN+TYPE+EQUATIONS Search LANE+EMDEN+TYPE+EQUATIONS
3 ISOTHERMAL GAS SPHERES 841626 3% 89% 8 Search ISOTHERMAL+GAS+SPHERES Search ISOTHERMAL+GAS+SPHERES
4 THOMAS FERMI EQUATION 748287 5% 45% 14 Search THOMAS+FERMI+EQUATION Search THOMAS+FERMI+EQUATION
5 EMDEN FOWLER EQUATION 397697 7% 20% 17 Search EMDEN+FOWLER+EQUATION Search EMDEN+FOWLER+EQUATION
6 NOETHER POINT SYMMETRIES 378731 2% 80% 4 Search NOETHER+POINT+SYMMETRIES Search NOETHER+POINT+SYMMETRIES
7 NOETHER OPERATORS 315608 2% 67% 4 Search NOETHER+OPERATORS Search NOETHER+OPERATORS
8 SINGULAR IVPS 270520 2% 57% 4 Search SINGULAR+IVPS Search SINGULAR+IVPS
9 BONNOR EBERT GAS SPHERES 236708 1% 100% 2 Search BONNOR+EBERT+GAS+SPHERES Search BONNOR+EBERT+GAS+SPHERES
10 ISOTHERMAL GAS SPHERE EQUATION 236708 1% 100% 2 Search ISOTHERMAL+GAS+SPHERE+EQUATION Search ISOTHERMAL+GAS+SPHERE+EQUATION

Core articles
The table includes core articles in the class. The following variables is taken into account for the relevance score of an article in a cluster c:
(1) Number of references referring to publications in the class.
(2) Share of total number of active references referring to publications in the class.
(3) Age of the article. New articles get higher score than old articles.
(4) Citation rate, normalized to year.


Rank Reference # ref.
in cl.		 Shr. of ref. in
cl.		 Citations
1 NASAB, AK , KILICMAN, A , ATABAKAN, ZP , LEONG, WJ , (2015) A NUMERICAL APPROACH FOR SOLVING SINGULAR NONLINEAR LANE-EMDEN TYPE EQUATIONS ARISING IN ASTROPHYSICS.NEW ASTRONOMY. VOL. 34. ISSUE . P. 178 -186 29 76% 4
2 BALAJI, S , (2016) A NEW BERNOULLI WAVELET OPERATIONAL MATRIX OF DERIVATIVE METHOD FOR THE SOLUTION OF NONLINEAR SINGULAR LANE-EMDEN TYPE EQUATIONS ARISING IN ASTROPHYSICS.JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS. VOL. 11. ISSUE 5. P. - 23 79% 1
3 MOMONIAT, E , HARLEY, C , (2011) AN IMPLICIT SERIES SOLUTION FOR A BOUNDARY VALUE PROBLEM MODELLING A THERMAL EXPLOSION.MATHEMATICAL AND COMPUTER MODELLING. VOL. 53. ISSUE 1-2. P. 249-260 25 81% 17
4 MUATJETJEJA, B , KHALIQUE, CM , (2011) EXACT SOLUTIONS OF THE GENERALIZED LANE-EMDEN EQUATIONS OF THE FIRST AND SECOND KIND.PRAMANA-JOURNAL OF PHYSICS. VOL. 77. ISSUE 3. P. 545 -554 23 85% 14
5 PARAND, K , KHALEQI, S , (2016) THE RATIONAL CHEBYSHEV OF SECOND KIND COLLOCATION METHOD FOR SOLVING A CLASS OF ASTROPHYSICS PROBLEMS.EUROPEAN PHYSICAL JOURNAL PLUS. VOL. 131. ISSUE 2. P. - 33 45% 1
6 PANDEY, RK , KUMAR, N , (2012) SOLUTION OF LANE-EMDEN TYPE EQUATIONS USING BERNSTEIN OPERATIONAL MATRIX OF DIFFERENTIATION.NEW ASTRONOMY. VOL. 17. ISSUE 3. P. 303-308 19 83% 17
7 CARUNTU, B , BOTA, C , (2013) APPROXIMATE POLYNOMIAL SOLUTIONS OF THE NONLINEAR LANE-EMDEN TYPE EQUATIONS ARISING IN ASTROPHYSICS USING THE SQUARED REMAINDER MINIMIZATION METHOD.COMPUTER PHYSICS COMMUNICATIONS. VOL. 184. ISSUE 7. P. 1643-1648 22 71% 8
8 DOHA, EH , BHRAWY, AH , HAFEZ, RM , VAN GORDER, RA , (2014) A JACOBI RATIONAL PSEUDOSPECTRAL METHOD FOR LANE-EMDEN INITIAL VALUE PROBLEMS ARISING IN ASTROPHYSICS ON A SEMI-INFINITE INTERVAL.COMPUTATIONAL & APPLIED MATHEMATICS. VOL. 33. ISSUE 3. P. 607 -619 19 79% 3
9 LAKESTANI, M , DEHGHAN, M , (2013) FOUR TECHNIQUES BASED ON THE B-SPLINE EXPANSION AND THE COLLOCATION APPROACH FOR THE NUMERICAL SOLUTION OF THE LANE-EMDEN EQUATION.MATHEMATICAL METHODS IN THE APPLIED SCIENCES. VOL. 36. ISSUE 16. P. 2243-2253 23 64% 8
10 KHALIQUE, CM , MAHOMED, FM , NTSIME, BP , (2009) GROUP CLASSIFICATION OF THE GENERALIZED EMDEN-FOWLER-TYPE EQUATION.NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS. VOL. 10. ISSUE 6. P. 3387-3395 21 75% 6

Classes with closest relation at Level 1


Rank Class id link
1 37023 ADIABATIC POINTS//GIANTS INTERIORS//PLANETS STRUCTURE AND EVOLUTION
2 25061 BRATUS PROBLEM//TROESCHS PROBLEM//CONTINUOUS GENETIC ALGORITHM
3 885 HOMOTOPY PERTURBATION METHOD//VARIATIONAL ITERATION METHOD//ADOMIAN DECOMPOSITION METHOD
4 9716 SPECTRAL METHODS//SEMI INFINITE INTERVAL//NONHOMOGENEOUS DIRICHLET CONDITIONS
5 17000 NON POLYNOMIAL SPLINE//SINGULAR TWO POINT BOUNDARY VALUE PROBLEMS//END CONDITIONS
6 27492 POLYTROPIC MODELS//ROCHE EQUIPOTENTIALS//GENERAL RELATIVISTIC MODELS
7 10630 LIE SYSTEM//GEODYSYC//SUPERPOSITION RULE
8 23134 TIME SINGULARITIES//CONSTANT ASTIGMATISM EQUATION//TIME SINGULARITY OF THE FIRST KIND
9 20516 SLATER SUM//GENERAL RELATIVISTIC THOMAS FERMI TREATMENT//ICRANET
10 30193 KCC THEORY//JACOBI STABILITY//VOLTERRA HAMILTON SYSTEMS

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