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

Basic class information

ID Publications Average number
of references
Avg. shr. active
ref. in WoS
899 10634 20.3 47%



Bar chart of Publication_year

Last years might be incomplete

Classes in level above (level 3)



ID, lev.
above
Publications Label for level above
368 30380 HOMOTOPY PERTURBATION METHOD//VARIATIONAL ITERATION METHOD//ADOMIAN DECOMPOSITION METHOD

Classes in level below (level 1)



ID, lev. below Publications Label for level below
647 3131 HOMOTOPY PERTURBATION METHOD//VARIATIONAL ITERATION METHOD//ADOMIAN DECOMPOSITION METHOD
6627 1391 SHISHKIN MESH//LAYER ADAPTED MESH//SINGULAR PERTURBATION
8299 1197 HIGH ORDER COMPACT SCHEME//UNSTEADY CONVECTION DIFFUSION EQUATION//FOURTH ORDER COMPACT SCHEME
10077 1030 DUAL PETROV GALERKIN METHOD//SEMI INFINITE INTERVAL//RATIONAL CHEBYSHEV
11014 949 DOUBLE EXPONENTIAL TRANSFORMATION//REPRODUCING KERNEL SPACE//REPRODUCING KERNEL METHOD
19641 431 ORTHOGONAL SPLINE COLLOCATION//MATRIX DECOMPOSITION ALGORITHMS//ALMOST BLOCK DIAGONAL SYSTEMS
21213 368 FINITE DIFFERENCE SYSTEM//NONLINEAR ESTIMATES OF THE PERRON TYPE//INTERPOLATING OPERATORS
21635 354 NONSTANDARD FINITE DIFFERENCE SCHEMES//EXACT FINITE DIFFERENCE SCHEMES//DYNAMICALLY CONSISTENT
22617 319 BURGERS EQUATION//MODIFIED BURGERS EQUATION//THE METHOD OF DISCRETIZATION IN TIME
22879 309 INTRINSIC PARALLELISM//RESTRICTIVE PADE APPROXIMATION//FORWARD BACKWARD HEAT EQUATION
23899 277 LANE EMDEN EQUATIONS//LANE EMDEN EQUATION//LANE EMDEN TYPE EQUATIONS
24157 269 TIME SINGULARITIES//SINGULAR ORDINARY DIFFERENTIAL EQUATION OF THE SECOND ORDER//STRICTLY INCREASING SOLUTIONS
25280 237 IRREGULAR BOUNDARIES//DIFFERENTIAL EQUATION COMPOSITION//MULTI PARAMETRIC FUNCTION APPROXIMATION
28785 162 GEOMETRIC HEIGHT//2 D SEARCH RADAR//AIRCRAFT ALTITUDE
30027 144 MEDIMAT//REDUCING TRANSFORMATION//LANIBIO
34642 66 ULTRASONIC MODEM//COMP SCI SECUR SCI//DR GPS

Terms with highest relevance score



Rank Term Type of term Relevance score
(tfidf)
Class's shr.
of term's tot.
occurrences
Shr. of publ.
in class containing
term
Num. of
publ. in
class
1 HOMOTOPY PERTURBATION METHOD Author keyword 468 71% 4% 376
2 VARIATIONAL ITERATION METHOD Author keyword 415 73% 3% 313
3 ADOMIAN DECOMPOSITION METHOD Author keyword 349 68% 3% 310
4 SHISHKIN MESH Author keyword 302 89% 1% 137
5 ADOMIAN POLYNOMIALS Author keyword 233 88% 1% 110
6 MEDIMAT Address 103 85% 1% 55
7 SINGULAR PERTURBATION Author keyword 90 25% 3% 317
8 LAYER ADAPTED MESH Author keyword 81 96% 0% 25
9 HOMOTOPY PERTURBATION METHOD HPM Author keyword 77 69% 1% 66
10 HES POLYNOMIALS Author keyword 70 89% 0% 32

Web of Science journal categories

Author Key Words



Rank Web of Science journal category Relevance score
(tfidf)
Class's shr.
of term's tot.
occurrences
Shr. of publ.
in class containing
term
Num. of
publ. in
class
LCSH search Wikipedia search
1 HOMOTOPY PERTURBATION METHOD 468 71% 4% 376 Search HOMOTOPY+PERTURBATION+METHOD Search HOMOTOPY+PERTURBATION+METHOD
2 VARIATIONAL ITERATION METHOD 415 73% 3% 313 Search VARIATIONAL+ITERATION+METHOD Search VARIATIONAL+ITERATION+METHOD
3 ADOMIAN DECOMPOSITION METHOD 349 68% 3% 310 Search ADOMIAN+DECOMPOSITION+METHOD Search ADOMIAN+DECOMPOSITION+METHOD
4 SHISHKIN MESH 302 89% 1% 137 Search SHISHKIN+MESH Search SHISHKIN+MESH
5 ADOMIAN POLYNOMIALS 233 88% 1% 110 Search ADOMIAN+POLYNOMIALS Search ADOMIAN+POLYNOMIALS
6 SINGULAR PERTURBATION 90 25% 3% 317 Search SINGULAR+PERTURBATION Search SINGULAR+PERTURBATION
7 LAYER ADAPTED MESH 81 96% 0% 25 Search LAYER+ADAPTED+MESH Search LAYER+ADAPTED+MESH
8 HOMOTOPY PERTURBATION METHOD HPM 77 69% 1% 66 Search HOMOTOPY+PERTURBATION+METHOD+HPM Search HOMOTOPY+PERTURBATION+METHOD+HPM
9 HES POLYNOMIALS 70 89% 0% 32 Search HES+POLYNOMIALS Search HES+POLYNOMIALS
10 ADOMIANS POLYNOMIALS 62 92% 0% 24 Search ADOMIANS+POLYNOMIALS Search ADOMIANS+POLYNOMIALS

Key Words Plus



Rank Web of Science journal category Relevance score
(tfidf)
Class's shr.
of term's tot.
occurrences
Shr. of publ.
in class containing
term
Num. of
publ. in
class
1 HOMOTOPY PERTURBATION METHOD 601 61% 6% 640
2 VARIATIONAL ITERATION METHOD 445 58% 5% 518
3 ADOMIAN DECOMPOSITION METHOD 298 67% 3% 268
4 ASYMPTOTIC METHODS 233 81% 1% 139
5 DECOMPOSITION METHOD 160 38% 3% 338
6 DUFFING HARMONIC OSCILLATOR 121 97% 0% 34
7 ADOMIAN METHOD 107 71% 1% 86
8 BOUNDARY VALUE PROBLEMS 97 12% 7% 768
9 LINDSTEDT POINCARE METHODS 94 76% 1% 65
10 NONLINEAR PROBLEMS 80 43% 1% 141

Journals



Rank Web of Science journal category Relevance score
(tfidf)
Class's shr.
of term's tot.
occurrences
Shr. of publ.
in class containing
term
Num. of
publ. in
class
1 INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS 50 11% 4% 426
2 INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION 30 16% 2% 172
3 NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS 26 14% 2% 173
4 MATHEMATICAL & COMPUTATIONAL APPLICATIONS 5 18% 0% 23

Reviews



Title Publ. year Cit. Active references % act. ref.
to same field
Some asymptotic methods for strongly nonlinear equations 2006 1021 84 62%
An elementary introduction to recently developed asymptotic methods and nanomechanics in textile engineering 2008 282 248 71%
Asymptotic Methods for Solitary Solutions and Compactons 2012 69 105 62%
A REVIEW OF THE DECOMPOSITION METHOD IN APPLIED-MATHEMATICS 1988 572 6 67%
Fluid mechanics in the driven cavity 2000 315 32 69%
Recent developments of some asymptotic methods and their applications for nonlinear vibration equations in engineering problems: A review 2012 17 139 91%
New applications of variational iteration method 2005 151 15 53%
A REVIEW OF THE DECOMPOSITION METHOD AND SOME RECENT RESULTS FOR NONLINEAR EQUATIONS 1990 96 7 86%
Some progress in spectral methods 2013 4 117 83%
INCOMPRESSIBLE FLUID-DYNAMICS - SOME FUNDAMENTAL FORMULATION ISSUES 1991 224 32 41%

Address terms



Rank Address term Relevance score
(tfidf)
Class's shr.
of term's tot.
occurrences
Shr. of publ.
in class containing
term
Num. of
publ. in
class
1 MEDIMAT 103 85% 0.5% 55
2 PRINCE ABDULLAH BIN GHAZI SCI IT 42 70% 0.3% 35
3 FUNDAMENTAL DISCIPLINES 27 92% 0.1% 11
4 ELECT RUMENTAT ATMOSPHER SCI 25 70% 0.2% 21
5 MECH VIBRAT 18 65% 0.2% 17
6 ADV FUNDAMENTAL TECH 14 64% 0.1% 14
7 ELE OMECH VIBRAT 11 100% 0.1% 6
8 SCI LETTS 11 100% 0.1% 6
9 HIGH PERFORMANCE SCI COMP COMP SIMULAT 10 39% 0.2% 20
10 LANIBIO 9 83% 0.0% 5

Related classes at same level (level 2)



Rank Relatedness score Related classes
1 0.0000029299 OPERATIONAL MATRIX//TAU METHOD//TAYLOR POLYNOMIALS AND SERIES
2 0.0000015596 PERISTALTIC FLOW//STRETCHING SHEET//STRETCHING SURFACE
3 0.0000012743 GENERAL LINEAR METHODS//RUNGE KUTTA METHODS//ORDER CONDITIONS
4 0.0000011248 FRACTIONAL CALCULUS//FRACTIONAL DERIVATIVE//FRACTIONAL ORDER SYSTEM
5 0.0000010144 ISOGEOMETRIC ANALYSIS//COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING//A POSTERIORI ERROR ESTIMATION
6 0.0000009947 ALGEBRAIC MULTIGRID//DOMAIN DECOMPOSITION//NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS
7 0.0000008682 ILL POSED PROBLEM//DISCREPANCY PRINCIPLE//ILL POSED PROBLEMS
8 0.0000008448 JORDANS FORM//TRIDIAGONAL MATRICES//ANTI TRIDIAGONAL MATRICES
9 0.0000007570 MATEMAT LICADA TECNOL INFORMAC//INTEGRAL ALGEBRAIC EQUATIONS//DIFFERENTIAL ALGEBRAIC EQUATION
10 0.0000007431 MESHLESS METHOD//MESHLESS//METHOD OF FUNDAMENTAL SOLUTIONS