Class information for:
Level 2: HOMOTOPY PERTURBATION METHOD//VARIATIONAL ITERATION METHOD//ADOMIAN DECOMPOSITION METHOD

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
2408 4192 23.4 58%


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
885 1                   HOMOTOPY PERTURBATION METHOD//VARIATIONAL ITERATION METHOD//ADOMIAN DECOMPOSITION METHOD 2989
23134 1                   TIME SINGULARITIES//CONSTANT ASTIGMATISM EQUATION//TIME SINGULARITY OF THE FIRST KIND 357
25061 1                   BRATUS PROBLEM//TROESCHS PROBLEM//CONTINUOUS GENETIC ALGORITHM 292
26289 1                   LANE EMDEN EQUATION//LANE EMDEN TYPE EQUATIONS//ISOTHERMAL GAS SPHERES 258
27492 1                   POLYTROPIC MODELS//ROCHE EQUIPOTENTIALS//GENERAL RELATIVISTIC MODELS 228
37023 1                   ADIABATIC POINTS//GIANTS INTERIORS//PLANETS STRUCTURE AND EVOLUTION 68

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 HOMOTOPY PERTURBATION METHOD authKW 1738126 9% 66% 363
2 VARIATIONAL ITERATION METHOD authKW 1446709 7% 67% 295
3 ADOMIAN DECOMPOSITION METHOD authKW 1218202 7% 61% 275
4 ADOMIAN POLYNOMIALS authKW 582765 2% 78% 102
5 LANE EMDEN EQUATION authKW 362043 2% 73% 68
6 HOMOTOPY PERTURBATION METHOD HPM authKW 317151 2% 67% 65
7 HES POLYNOMIALS authKW 219322 1% 94% 32
8 NONLINEAR OSCILLATORS authKW 211655 3% 26% 110
9 DECOMPOSITION METHOD authKW 207100 2% 33% 87
10 ADOMIAN DECOMPOSITION METHOD ADM authKW 200424 1% 81% 34

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 49994 43% 0% 1820
2 Mathematics, Interdisciplinary Applications 12740 13% 0% 538
3 Mechanics 11113 18% 0% 775
4 Engineering, General 7953 11% 0% 456
5 Physics, Mathematical 7006 12% 0% 501
6 Physics, Multidisciplinary 3135 14% 0% 585
7 Engineering, Mechanical 1372 7% 0% 280
8 Computer Science, Cybernetics 871 1% 0% 60
9 Computer Science, Interdisciplinary Applications 848 4% 0% 187
10 Mathematics 641 7% 0% 289

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 ELECT RUMENTAT ATMOSPHER SCI 116501 1% 67% 24
2 MEDIMAT 80672 1% 43% 26
3 PRINCE ABDULLAH BIN GHAZI SCI IT 70468 1% 44% 22
4 MECH VIBRAT 62127 0% 53% 16
5 ADV FUNDAMENTAL TECH 47322 0% 50% 13
6 SCI LETTS 43694 0% 100% 6
7 SEPARAT PROC MODELING NANOCOMPUTAT 42424 0% 45% 13
8 MODERN TEXT 39039 1% 13% 41
9 FIS INGN SISTEMAS TEORIA SENAL 31708 1% 13% 34
10 MATH 30622 32% 0% 1352

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 INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION 169303 4% 14% 162
2 APPLIED MATHEMATICS AND COMPUTATION 64643 9% 2% 395
3 COMPUTERS & MATHEMATICS WITH APPLICATIONS 38622 5% 2% 226
4 MATHEMATICAL & COMPUTATIONAL APPLICATIONS 25657 1% 17% 21
5 INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS 17471 2% 2% 98
6 INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW 12520 1% 3% 50
7 KYBERNETES 11722 1% 3% 58
8 CHAOS SOLITONS & FRACTALS 10457 3% 1% 107
9 ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES 8562 2% 1% 85
10 MATHEMATICAL PROBLEMS IN ENGINEERING 8236 2% 1% 103

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 HOMOTOPY PERTURBATION METHOD 1738126 9% 66% 363 Search HOMOTOPY+PERTURBATION+METHOD Search HOMOTOPY+PERTURBATION+METHOD
2 VARIATIONAL ITERATION METHOD 1446709 7% 67% 295 Search VARIATIONAL+ITERATION+METHOD Search VARIATIONAL+ITERATION+METHOD
3 ADOMIAN DECOMPOSITION METHOD 1218202 7% 61% 275 Search ADOMIAN+DECOMPOSITION+METHOD Search ADOMIAN+DECOMPOSITION+METHOD
4 ADOMIAN POLYNOMIALS 582765 2% 78% 102 Search ADOMIAN+POLYNOMIALS Search ADOMIAN+POLYNOMIALS
5 LANE EMDEN EQUATION 362043 2% 73% 68 Search LANE+EMDEN+EQUATION Search LANE+EMDEN+EQUATION
6 HOMOTOPY PERTURBATION METHOD HPM 317151 2% 67% 65 Search HOMOTOPY+PERTURBATION+METHOD+HPM Search HOMOTOPY+PERTURBATION+METHOD+HPM
7 HES POLYNOMIALS 219322 1% 94% 32 Search HES+POLYNOMIALS Search HES+POLYNOMIALS
8 NONLINEAR OSCILLATORS 211655 3% 26% 110 Search NONLINEAR+OSCILLATORS Search NONLINEAR+OSCILLATORS
9 DECOMPOSITION METHOD 207100 2% 33% 87 Search DECOMPOSITION+METHOD Search DECOMPOSITION+METHOD
10 ADOMIAN DECOMPOSITION METHOD ADM 200424 1% 81% 34 Search ADOMIAN+DECOMPOSITION+METHOD+ADM Search ADOMIAN+DECOMPOSITION+METHOD+ADM

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 HE, JH , (2008) AN ELEMENTARY INTRODUCTION TO RECENTLY DEVELOPED ASYMPTOTIC METHODS AND NANOMECHANICS IN TEXTILE ENGINEERING.INTERNATIONAL JOURNAL OF MODERN PHYSICS B. VOL. 22. ISSUE 21. P. 3487-3578 169 68% 289
2 BAYAT, M , PAKAR, I , DOMAIRRY, G , (2012) RECENT DEVELOPMENTS OF SOME ASYMPTOTIC METHODS AND THEIR APPLICATIONS FOR NONLINEAR VIBRATION EQUATIONS IN ENGINEERING PROBLEMS: A REVIEW.LATIN AMERICAN JOURNAL OF SOLIDS AND STRUCTURES. VOL. 9. ISSUE 2. P. 145 -234 132 90% 19
3 HE, JH , (2006) SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS.INTERNATIONAL JOURNAL OF MODERN PHYSICS B. VOL. 20. ISSUE 10. P. 1141-1199 53 63% 1072
4 DUAN, JS , RACH, R , WAZWAZ, AM , CHAOLU, T , WANG, Z , (2013) A NEW MODIFIED ADOMIAN DECOMPOSITION METHOD AND ITS MULTISTAGE FORM FOR SOLVING NONLINEAR BOUNDARY VALUE PROBLEMS WITH ROBIN BOUNDARY CONDITIONS.APPLIED MATHEMATICAL MODELLING. VOL. 37. ISSUE 20-21. P. 8687 -8708 53 95% 14
5 DUAN, JS , RACH, R , WAZWAZ, AM , (2017) HIGHER ORDER NUMERIC SOLUTIONS OF THE LANE-EMDEN-TYPE EQUATIONS DERIVED FROM THE MULTI-STAGE MODIFIED ADOMIAN DECOMPOSITION METHOD.INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS. VOL. 94. ISSUE 1. P. 197 -215 50 98% 0
6 HE, JH , (2012) ASYMPTOTIC METHODS FOR SOLITARY SOLUTIONS AND COMPACTONS.ABSTRACT AND APPLIED ANALYSIS. VOL. . ISSUE . P. - 63 60% 77
7 DUAN, JS , RACH, R , WAZWAZ, AM , (2013) A NEW MODIFIED ADOMIAN DECOMPOSITION METHOD FOR HIGHER-ORDER NONLINEAR DYNAMICAL SYSTEMS.CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES. VOL. 94. ISSUE 1. P. 77-118 50 96% 2
8 OUML;ZIS, T , AKCI, C , (2011) PERIODIC SOLUTIONS FOR CERTAIN NON-SMOOTH OSCILLATORS BY ITERATED HOMOTOPY PERTURBATION METHOD COMBINED WITH MODIFIED LINDSTEDT-POINCAR, TECHNIQUE.MECCANICA. VOL. 46. ISSUE 2. P. 341 -347 52 98% 0
9 WAZWAZ, AM , RACH, R , BOUGOFFA, L , DUAN, JS , (2014) SOLVING THE LANE-EMDEN-FOWLER TYPE EQUATIONS OF HIGHER ORDERS BY THE ADOMIAN DECOMPOSITION METHOD.CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES. VOL. 100. ISSUE 6. P. 507 -529 47 100% 0
10 GANJI, SS , GANJI, DD , SFAHANI, MG , KARIMPOUR, S , (2010) APPLICATION OF AFF AND HPM TO THE SYSTEMS OF STRONGLY NONLINEAR OSCILLATION.CURRENT APPLIED PHYSICS. VOL. 10. ISSUE 5. P. 1317 -1325 50 96% 18

Classes with closest relation at Level 2


Rank Class id link
1 2845 VOLTERRA INTEGRAL EQUATION//WEAKLY SINGULAR KERNEL//BLOCK PULSE FUNCTIONS
2 1205 STRETCHING SHEET//PERISTALTIC FLOW//HOMOTOPY ANALYSIS METHOD
3 935 FRACTIONAL DIFFERENTIAL EQUATIONS//FRACTIONAL CALCULUS//FRACTIONAL DERIVATIVE
4 895 SHISHKIN MESH//SINGULAR PERTURBATION//MATHEMATICS, APPLIED
5 127 PHYSICS, MATHEMATICAL//BACKLUND TRANSFORMATION//SOLITON SOLUTION
6 1519 STOCHASTIC AVERAGING//BORDER COLLISION BIFURCATION//NONLINEAR ENERGY SINK
7 1538 RUNGE KUTTA METHODS//GENERAL LINEAR METHODS//PHASE LAG
8 3615 STEFAN PROBLEM//HEAT BALANCE INTEGRAL METHOD//ELASTIC TUBES
9 2135 ORDER OF CONVERGENCE//SEMILOCAL CONVERGENCE//NONLINEAR EQUATIONS
10 3448 DERIVATIVE FREE OPTIMIZATION//GLOBAL OPTIMIZATION//FILLED FUNCTION METHOD

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