Class information for:
Level 3: HOMOTOPY PERTURBATION METHOD//VARIATIONAL ITERATION METHOD//ADOMIAN DECOMPOSITION METHOD

Basic class information

ID Publications Average number
of references
Avg. shr. active
ref. in WoS
368 30380 22.4 46%



Bar chart of Publication_year

Last years might be incomplete

Classes in level above (level 4)



ID, lev.
above
Publications Label for level above
11 991155 MATHEMATICS//MATHEMATICS, APPLIED//MATH

Classes in level below (level 2)



ID, lev.
below
Publications Label for level below
899 10634 HOMOTOPY PERTURBATION METHOD//VARIATIONAL ITERATION METHOD//ADOMIAN DECOMPOSITION METHOD
1392 7642 FRACTIONAL CALCULUS//FRACTIONAL DERIVATIVE//FRACTIONAL ORDER SYSTEM
1562 6745 GENERAL LINEAR METHODS//RUNGE KUTTA METHODS//ORDER CONDITIONS
2224 4326 OPERATIONAL MATRIX//TAU METHOD//TAYLOR POLYNOMIALS AND SERIES
3489 1033 MATEMAT LICADA TECNOL INFORMAC//INTEGRAL ALGEBRAIC EQUATIONS//DIFFERENTIAL ALGEBRAIC EQUATION

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 507 73% 1% 386
2 VARIATIONAL ITERATION METHOD Author keyword 472 77% 1% 326
3 ADOMIAN DECOMPOSITION METHOD Author keyword 427 72% 1% 332
4 FRACTIONAL CALCULUS Author keyword 366 47% 2% 582
5 SHISHKIN MESH Author keyword 312 90% 0% 138
6 OPERATIONAL MATRIX Author keyword 269 86% 0% 138
7 ADOMIAN POLYNOMIALS Author keyword 253 90% 0% 112
8 RUNGE KUTTA METHODS Author keyword 229 56% 1% 281
9 CAPUTO DERIVATIVE Author keyword 225 72% 1% 175
10 GENERAL LINEAR METHODS Author keyword 212 91% 0% 86

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 507 73% 1% 386 Search HOMOTOPY+PERTURBATION+METHOD Search HOMOTOPY+PERTURBATION+METHOD
2 VARIATIONAL ITERATION METHOD 472 77% 1% 326 Search VARIATIONAL+ITERATION+METHOD Search VARIATIONAL+ITERATION+METHOD
3 ADOMIAN DECOMPOSITION METHOD 427 72% 1% 332 Search ADOMIAN+DECOMPOSITION+METHOD Search ADOMIAN+DECOMPOSITION+METHOD
4 FRACTIONAL CALCULUS 366 47% 2% 582 Search FRACTIONAL+CALCULUS Search FRACTIONAL+CALCULUS
5 SHISHKIN MESH 312 90% 0% 138 Search SHISHKIN+MESH Search SHISHKIN+MESH
6 OPERATIONAL MATRIX 269 86% 0% 138 Search OPERATIONAL+MATRIX Search OPERATIONAL+MATRIX
7 ADOMIAN POLYNOMIALS 253 90% 0% 112 Search ADOMIAN+POLYNOMIALS Search ADOMIAN+POLYNOMIALS
8 RUNGE KUTTA METHODS 229 56% 1% 281 Search RUNGE+KUTTA+METHODS Search RUNGE+KUTTA+METHODS
9 CAPUTO DERIVATIVE 225 72% 1% 175 Search CAPUTO+DERIVATIVE Search CAPUTO+DERIVATIVE
10 GENERAL LINEAR METHODS 212 91% 0% 86 Search GENERAL+LINEAR+METHODS Search GENERAL+LINEAR+METHODS

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 839 69% 2% 722
2 RUNGE KUTTA METHODS 658 63% 2% 660
3 VARIATIONAL ITERATION METHOD 584 64% 2% 574
4 ANOMALOUS DIFFUSION 458 37% 3% 998
5 ADOMIAN DECOMPOSITION METHOD 450 77% 1% 307
6 INITIAL VALUE PROBLEMS 382 56% 2% 469
7 MULTISTEP METHODS 359 81% 1% 215
8 NUMERICAL SOLUTION 349 24% 4% 1252
9 MINIMAL PHASE LAG 334 96% 0% 102
10 ASYMPTOTIC METHODS 245 82% 0% 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 APPLIED NUMERICAL MATHEMATICS 206 25% 2% 703
2 APPLIED MATHEMATICS AND COMPUTATION 202 11% 6% 1752
3 JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 179 13% 4% 1249
4 INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS 178 20% 3% 779
5 COMPUTERS & MATHEMATICS WITH APPLICATIONS 111 11% 3% 976
6 SIAM JOURNAL ON NUMERICAL ANALYSIS 93 15% 2% 578
7 IMA JOURNAL OF NUMERICAL ANALYSIS 84 23% 1% 317
8 BIT NUMERICAL MATHEMATICS 67 24% 1% 243
9 FRACTIONAL CALCULUS AND APPLIED ANALYSIS 67 44% 0% 113
10 NUMERISCHE MATHEMATIK 58 14% 1% 393

Reviews



Title Publ. year Cit. Active references % act. ref.
to same field
The random walk's guide to anomalous diffusion: a fractional dynamics approach 2000 2850 156 60%
Some asymptotic methods for strongly nonlinear equations 2006 1021 84 62%
Nineteen dubious ways to compute the exponential of a matrix, twenty-five years later 2003 510 32 84%
The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics 2004 739 278 56%
An elementary introduction to recently developed asymptotic methods and nanomechanics in textile engineering 2008 282 248 72%
A toolbox for determining subdiffusive mechanisms 2015 5 134 49%
Models of anomalous diffusion in crowded environments 2012 85 74 62%
Asymptotic Methods for Solitary Solutions and Compactons 2012 69 105 65%
A REVIEW OF THE DECOMPOSITION METHOD IN APPLIED-MATHEMATICS 1988 572 6 67%
The Magnus expansion and some of its applications 2009 163 129 56%

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% 0.2% 55
2 HUGO STEINHAUS 103 71% 0.3% 83
3 PRINCE ABDULLAH BIN GHAZI SCI IT 64 80% 0.1% 40
4 ECON MANAGEMENT INFORMAT 45 90% 0.1% 19
5 CSOIS 43 62% 0.1% 44
6 KONPUTAZIO ZIENTZIAK ETA AA SAILA 42 94% 0.0% 15
7 ELECT RUMENTAT ATMOSPHER SCI 39 80% 0.1% 24
8 CPS INGN 32 88% 0.0% 15
9 FUNDAMENTAL DISCIPLINES 27 92% 0.0% 11
10 MATEMAT LICADA TECNOL INFORMAC 27 59% 0.1% 30

Related classes at same level (level 3)



Rank Relatedness score Related classes
1 0.0000004706 COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING//ISOGEOMETRIC ANALYSIS//INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
2 0.0000003797 POSITIVE SOLUTION//FIXED POINT THEOREMS//NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
3 0.0000003396 ORTHOGONAL POLYNOMIALS//JOURNAL OF APPROXIMATION THEORY//INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS
4 0.0000002893 INVERSE PROBLEMS//ELECTRICAL IMPEDANCE TOMOGRAPHY//MESHLESS METHOD
5 0.0000002546 BACKLUND TRANSFORMATION//CAMASSA HOLM EQUATION//NONLINEAR SCHRODINGER EQUATIONS
6 0.0000002119 STOCHASTIC RESONANCE//NONEXTENSIVE STATISTICAL MECHANICS//COHERENCE RESONANCE
7 0.0000001945 MEI SYMMETRY//MATH MECH MATH PHYS//CONSERVED QUANTITY
8 0.0000001906 COMPUTER AIDED GEOMETRIC DESIGN//COMPUTER-AIDED DESIGN//SEMILOCAL CONVERGENCE
9 0.0000001866 APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS//GABOR FRAME//SHIFT INVARIANT SPACE
10 0.0000001774 INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS//CHAOS//SYNCHRONIZATION