Class information for:
Level 1: HOMOTOPY PERTURBATION METHOD//VARIATIONAL ITERATION METHOD//ADOMIAN DECOMPOSITION METHOD

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
885 2989 24.1 65%


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

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 2424556 12% 66% 362
2 VARIATIONAL ITERATION METHOD authKW 1854282 9% 64% 282
3 ADOMIAN DECOMPOSITION METHOD authKW 1647140 9% 60% 270
4 ADOMIAN POLYNOMIALS authKW 785651 3% 77% 100
5 HOMOTOPY PERTURBATION METHOD HPM authKW 444848 2% 67% 65
6 HES POLYNOMIALS authKW 307620 1% 94% 32
7 NONLINEAR OSCILLATORS authKW 291554 4% 26% 109
8 ADOMIAN DECOMPOSITION METHOD ADM authKW 281117 1% 81% 34
9 SEMI INVERSE METHOD authKW 280651 2% 60% 46
10 DECOMPOSITION METHOD authKW 245640 3% 30% 80

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 43882 48% 0% 1435
2 Mathematics, Interdisciplinary Applications 13719 16% 0% 468
3 Mechanics 11325 22% 0% 654
4 Engineering, General 9128 14% 0% 408
5 Physics, Mathematical 5989 13% 0% 389
6 Physics, Multidisciplinary 2870 16% 0% 465
7 Engineering, Mechanical 1599 8% 0% 247
8 Computer Science, Cybernetics 1224 2% 0% 59
9 Thermodynamics 767 5% 0% 140
10 Acoustics 748 3% 0% 99

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 163409 1% 67% 24
2 MEDIMAT 113162 1% 43% 26
3 PRINCE ABDULLAH BIN GHAZI SCI IT 98848 1% 44% 22
4 MECH VIBRAT 76591 1% 50% 15
5 SCI LETTS 61284 0% 100% 6
6 SEPARAT PROC MODELING NANOCOMPUTAT 59509 0% 45% 13
7 MODERN TEXT 54785 1% 13% 41
8 ADV FUNDAMENTAL TECH 47522 0% 42% 11
9 FIS INGN SISTEMAS TEORIA SENAL 44497 1% 13% 34
10 TORBATEHEYDARIEH BRANCH 40856 0% 100% 4

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 234648 5% 14% 161
2 APPLIED MATHEMATICS AND COMPUTATION 68109 11% 2% 342
3 COMPUTERS & MATHEMATICS WITH APPLICATIONS 48251 7% 2% 213
4 MATHEMATICAL & COMPUTATIONAL APPLICATIONS 29466 1% 15% 19
5 INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS 18036 3% 2% 84
6 INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW 16901 2% 3% 49
7 KYBERNETES 16487 2% 3% 58
8 CHAOS SOLITONS & FRACTALS 14475 4% 1% 106
9 ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES 11510 3% 1% 83
10 MATHEMATICAL PROBLEMS IN ENGINEERING 9261 3% 1% 92

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 2424556 12% 66% 362 Search HOMOTOPY+PERTURBATION+METHOD Search HOMOTOPY+PERTURBATION+METHOD
2 VARIATIONAL ITERATION METHOD 1854282 9% 64% 282 Search VARIATIONAL+ITERATION+METHOD Search VARIATIONAL+ITERATION+METHOD
3 ADOMIAN DECOMPOSITION METHOD 1647140 9% 60% 270 Search ADOMIAN+DECOMPOSITION+METHOD Search ADOMIAN+DECOMPOSITION+METHOD
4 ADOMIAN POLYNOMIALS 785651 3% 77% 100 Search ADOMIAN+POLYNOMIALS Search ADOMIAN+POLYNOMIALS
5 HOMOTOPY PERTURBATION METHOD HPM 444848 2% 67% 65 Search HOMOTOPY+PERTURBATION+METHOD+HPM Search HOMOTOPY+PERTURBATION+METHOD+HPM
6 HES POLYNOMIALS 307620 1% 94% 32 Search HES+POLYNOMIALS Search HES+POLYNOMIALS
7 NONLINEAR OSCILLATORS 291554 4% 26% 109 Search NONLINEAR+OSCILLATORS Search NONLINEAR+OSCILLATORS
8 ADOMIAN DECOMPOSITION METHOD ADM 281117 1% 81% 34 Search ADOMIAN+DECOMPOSITION+METHOD+ADM Search ADOMIAN+DECOMPOSITION+METHOD+ADM
9 SEMI INVERSE METHOD 280651 2% 60% 46 Search SEMI+INVERSE+METHOD Search SEMI+INVERSE+METHOD
10 DECOMPOSITION METHOD 245640 3% 30% 80 Search DECOMPOSITION+METHOD Search DECOMPOSITION+METHOD

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 168 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 -234 131 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 50 60% 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 HE, JH , (2012) ASYMPTOTIC METHODS FOR SOLITARY SOLUTIONS AND COMPACTONS.ABSTRACT AND APPLIED ANALYSIS. VOL. . ISSUE . P. - 63 60% 77
6 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
7 HE, JH , WU, XH , (2007) VARIATIONAL ITERATION METHOD: NEW DEVELOPMENT AND APPLICATIONS.COMPUTERS & MATHEMATICS WITH APPLICATIONS. VOL. 54. ISSUE 7-8. P. 881-894 43 84% 274
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 51 96% 0
9 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 48 92% 2
10 ABIDI, F , OMRANI, K , (2011) NUMERICAL SOLUTIONS FOR THE NONLINEAR FORNBERG-WHITHAM EQUATION BY HE'S METHODS.INTERNATIONAL JOURNAL OF MODERN PHYSICS B. VOL. 25. ISSUE 32. P. 4721 -4732 48 94% 1

Classes with closest relation at Level 1


Rank Class id link
1 26289 LANE EMDEN EQUATION//LANE EMDEN TYPE EQUATIONS//ISOTHERMAL GAS SPHERES
2 2265 CAPUTO DERIVATIVE//OPERATIONAL MATRIX//CAPUTO FRACTIONAL DERIVATIVE
3 17000 NON POLYNOMIAL SPLINE//SINGULAR TWO POINT BOUNDARY VALUE PROBLEMS//END CONDITIONS
4 25061 BRATUS PROBLEM//TROESCHS PROBLEM//CONTINUOUS GENETIC ALGORITHM
5 26010 LINEAR HYPERBOLIC EQUATION//TELEGRAPH EQUATION//SINE GORDON EQUATION
6 21166 FAST EXCITATION//GRP NONLINEAR OSCILLAT CHAOS//ASYMPTOTIC APPROXIMATION OF FIRST INTEGRAL
7 5428 VOLTERRA INTEGRAL EQUATION//WEAKLY SINGULAR KERNEL//FREDHOLM INTEGRAL EQUATION
8 79 SOLITARY WAVE SOLUTION//EXP FUNCTION METHOD//NONLINEAR EVOLUTION EQUATIONS
9 30304 MEDIMAT//ALPHA DENSE CURVES//PARTIAL SUMS OF THE RIEMANN ZETA FUNCTION
10 22156 NONSTANDARD FINITE DIFFERENCE SCHEMES//NONSTANDARD FINITE DIFFERENCE METHOD//BURGERS HUXLEY EQUATION

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