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

Basic class information
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
14 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 912822
89 3       MATHEMATICS, APPLIED//LINEAR ALGEBRA AND ITS APPLICATIONS//SIAM JOURNAL ON NUMERICAL ANALYSIS 80538
680 2             HOMOTOPY PERTURBATION METHOD//VARIATIONAL ITERATION METHOD//ADOMIAN DECOMPOSITION METHOD 13587
1542 1                   FRACTIONAL DIFFUSION EQUATION//ANOMALOUS DIFFUSION//FRACTIONAL DERIVATIVE 2620
1948 1                   HOMOTOPY PERTURBATION METHOD//VARIATIONAL ITERATION METHOD//HOMOTOPY PERTURBATION METHOD HPM 2453
3703 1                   OPERATIONAL MATRIX//TAU METHOD//VOLTERRA INTEGRAL EQUATION 1962
7950 1                   ADOMIAN DECOMPOSITION METHOD//ADOMIAN POLYNOMIALS//LANE EMDEN EQUATION 1335
10403 1                   FRACTIONAL EULER LAGRANGE EQUATIONS//FRACTIONAL OPTIMAL CONTROL//FRACTIONAL CALCULUS OF VARIATIONS 1096
12675 1                   MODIFIED RIEMANN LIOUVILLE DERIVATIVE//LOCAL FRACTIONAL DERIVATIVE//FRACTIONAL COMPLEX TRANSFORM 919
13619 1                   RLW EQUATION//BURGERS EQUATION//TELEGRAPH EQUATION 854
14606 1                   REPRODUCING KERNEL SPACE//NONLOCAL BOUNDARY CONDITIONS//REPRODUCING KERNEL METHOD 789
19352 1                   END CONDITIONS//FIFTH ORDER BOUNDARY VALUE PROBLEM//NON POLYNOMIAL SPLINE 533
21448 1                   NONSTANDARD FINITE DIFFERENCE SCHEMES//NONSTANDARD FINITE DIFFERENCE METHOD//BURGERS HUXLEY EQUATION 442
24844 1                   BRATUS PROBLEM//TROESCHS PROBLEM//CONTINUOUS GENETIC ALGORITHM 323
26966 1                   DOUBLE EXPONENTIAL TRANSFORMATION//SINC GALERKIN METHOD//SINC COLLOCATION 261

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 HOMOTOPY PERTURBATION METHOD authKW 728601 3% 74% 423
2 VARIATIONAL ITERATION METHOD authKW 663639 3% 80% 359
3 ADOMIAN DECOMPOSITION METHOD authKW 582447 3% 73% 343
4 CAPUTO DERIVATIVE authKW 398466 2% 67% 258
5 OPERATIONAL MATRIX authKW 352097 1% 83% 182
6 FRACTIONAL DIFFUSION EQUATION authKW 336668 1% 81% 180
7 FRACTIONAL DERIVATIVE authKW 300801 3% 34% 387
8 CAPUTO FRACTIONAL DERIVATIVE authKW 292620 2% 54% 232
9 FRACTIONAL CALCULUS authKW 286512 3% 29% 420
10 ADOMIAN POLYNOMIALS authKW 263312 1% 93% 122

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics, Applied 247421 53% 2% 7246
2 Mathematics, Interdisciplinary Applications 41022 13% 1% 1742
3 Physics, Mathematical 24607 12% 1% 1685
4 Mechanics 14852 12% 0% 1674
5 Engineering, General 13478 8% 1% 1095
6 Mathematics 11821 14% 0% 1912
7 Physics, Multidisciplinary 7229 12% 0% 1632
8 Computer Science, Interdisciplinary Applications 3001 5% 0% 632
9 Physics, Fluids & Plasmas 1745 3% 0% 450
10 Engineering, Mechanical 1317 4% 0% 557

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 MATH 138817 38% 1% 5187
2 GROUNDWATER STUDIES 102295 1% 47% 94
3 PRINCE ABDULLAH BIN GHAZI SCI IT 74149 0% 80% 40
4 ELECT RUMENTAT ATMOSPHER SCI 37067 0% 67% 24
5 CONACYT NACL INVEST DESARROLLO TECNOL 34899 0% 94% 16
6 MATH COMP SCI 33242 6% 2% 749
7 MATH SCI 31230 8% 1% 1109
8 MEDIMAT 27668 0% 44% 27
9 PL MATH 27461 5% 2% 710
10 GANSU PL MATH COMPLEX SYST 25532 0% 53% 21

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 APPLIED MATHEMATICS AND COMPUTATION 219769 10% 7% 1300
2 FRACTIONAL CALCULUS AND APPLIED ANALYSIS 102316 1% 33% 133
3 INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS 96668 3% 10% 414
4 COMPUTERS & MATHEMATICS WITH APPLICATIONS 78629 4% 6% 579
5 INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION 71624 1% 16% 190
6 NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS 55976 1% 13% 185
7 JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 55252 4% 5% 501
8 ABSTRACT AND APPLIED ANALYSIS 32527 2% 6% 250
9 THERMAL SCIENCE 29892 1% 8% 158
10 COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION 29091 2% 6% 222

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 HOMOTOPY PERTURBATION METHOD 728601 3% 74% 423 Search HOMOTOPY+PERTURBATION+METHOD Search HOMOTOPY+PERTURBATION+METHOD
2 VARIATIONAL ITERATION METHOD 663639 3% 80% 359 Search VARIATIONAL+ITERATION+METHOD Search VARIATIONAL+ITERATION+METHOD
3 ADOMIAN DECOMPOSITION METHOD 582447 3% 73% 343 Search ADOMIAN+DECOMPOSITION+METHOD Search ADOMIAN+DECOMPOSITION+METHOD
4 CAPUTO DERIVATIVE 398466 2% 67% 258 Search CAPUTO+DERIVATIVE Search CAPUTO+DERIVATIVE
5 OPERATIONAL MATRIX 352097 1% 83% 182 Search OPERATIONAL+MATRIX Search OPERATIONAL+MATRIX
6 FRACTIONAL DIFFUSION EQUATION 336668 1% 81% 180 Search FRACTIONAL+DIFFUSION+EQUATION Search FRACTIONAL+DIFFUSION+EQUATION
7 FRACTIONAL DERIVATIVE 300801 3% 34% 387 Search FRACTIONAL+DERIVATIVE Search FRACTIONAL+DERIVATIVE
8 CAPUTO FRACTIONAL DERIVATIVE 292620 2% 54% 232 Search CAPUTO+FRACTIONAL+DERIVATIVE Search CAPUTO+FRACTIONAL+DERIVATIVE
9 FRACTIONAL CALCULUS 286512 3% 29% 420 Search FRACTIONAL+CALCULUS Search FRACTIONAL+CALCULUS
10 ADOMIAN POLYNOMIALS 263312 1% 93% 122 Search ADOMIAN+POLYNOMIALS Search ADOMIAN+POLYNOMIALS

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.

Classes with closest relation at Level 2


rank cluster_id2 link
1 1605 RUNGE KUTTA METHODS//DIFFERENTIAL ALGEBRAIC EQUATIONS//GENERAL LINEAR METHODS
2 3009 SHISHKIN MESH//SINGULAR PERTURBATION//UNIFORM CONVERGENCE
3 961 STRETCHING SHEET//HOMOTOPY ANALYSIS METHOD//PERISTALTIC FLOW
4 771 POSITIVE SOLUTION//FIXED POINT THEOREM//FRACTIONAL DIFFERENTIAL EQUATIONS
5 2760 CONSTRAINED LAYER DAMPING//VISCOELASTIC DAMPING//FRACTIONAL DERIVATIVE
6 2167 SPHERICAL DESIGNS//PROLATE SPHEROIDAL WAVE FUNCTIONS//SPECTRAL METHODS
7 1237 FLUORESCENCE CORRELATION SPECTROSCOPY//HUGO STEINHAUS//MACROMOLECULAR CROWDING
8 2090 ILL POSED PROBLEM//INVERSE PROBLEM//DISCREPANCY PRINCIPLE
9 124 SOLITON SOLUTION//PHYSICS, MATHEMATICAL//BACKLUND TRANSFORMATION
10 3639 EIGEN COORDINATES METHOD//PSEUDO PHASE PLANE//UISPA LAETA INEGI

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