Class information for:
Level 1: LINEAR HYPERBOLIC EQUATION//TELEGRAPH EQUATION//SINE GORDON EQUATION

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
26010 265 23.1 51%



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
895 2             SHISHKIN MESH//SINGULAR PERTURBATION//MATHEMATICS, APPLIED 11341
26010 1                   LINEAR HYPERBOLIC EQUATION//TELEGRAPH EQUATION//SINE GORDON EQUATION 265

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 LINEAR HYPERBOLIC EQUATION authKW 774577 4% 61% 11
2 TELEGRAPH EQUATION authKW 721389 9% 26% 24
3 SINE GORDON EQUATION authKW 689245 15% 15% 41
4 SECOND ORDER LINEAR HYPERBOLIC EQUATION authKW 460910 2% 100% 4
5 TELEGRAPHIC EQUATION authKW 460906 2% 67% 6
6 GAUSS LOBATTO CHEBYSHEV GRID POINTS authKW 345683 1% 100% 3
7 SECOND ORDER HYPERBOLIC TELEGRAPH EQUATION authKW 345683 1% 100% 3
8 SINE GORDON SG EQUATION authKW 345683 1% 100% 3
9 SLOPE MODULATION authKW 345683 1% 100% 3
10 TWO DIMENSIONAL LINEAR HYPERBOLIC EQUATION authKW 345683 1% 100% 3

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 6889 63% 0% 168
2 Physics, Mathematical 1111 18% 0% 49
3 Mathematics, Interdisciplinary Applications 459 10% 0% 26
4 Computer Science, Interdisciplinary Applications 314 10% 0% 26
5 Engineering, General 231 8% 0% 20
6 Mechanics 224 11% 0% 29
7 Physics, Multidisciplinary 141 12% 0% 32
8 Acoustics 40 3% 0% 7
9 Thermodynamics 32 3% 0% 9
10 Mathematics 19 5% 0% 14

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 ADITI MAHAVIDYALAYA 115228 0% 100% 1
2 UMR 76064 PL JUSSIEU 115228 0% 100% 1
3 MATEMAT LICADA ESTADIST INVEST OPERATI 57613 0% 50% 1
4 O PL MATH 57613 0% 50% 1
5 FENOMEC 53337 2% 9% 5
6 LEHRSTUHL MECH MAT THEORIE 37032 1% 11% 3
7 CIENCIAS FIS FIS TEOR 16459 0% 14% 1
8 PHYS INFORMAT TECHNOL ITEFI 14402 0% 13% 1
9 CLOUD COMP SYST INTEGRAT 12801 0% 11% 1
10 ETHN PREPARATORY EDUC 11521 0% 10% 1

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 NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS 53337 9% 2% 25
2 INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS 11599 8% 1% 20
3 APPLIED MATHEMATICS AND COMPUTATION 11070 15% 0% 41
4 APPLIED SCIENTIFIC RESEARCH 4759 2% 1% 5
5 COMPUTER PHYSICS COMMUNICATIONS 3031 5% 0% 14
6 NUMERICAL ALGORITHMS 2316 2% 0% 6
7 JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 2214 5% 0% 14
8 WAVE MOTION 1458 2% 0% 5
9 JOURNAL OF COMPUTATIONAL MATHEMATICS 1373 2% 0% 4
10 RESULTS IN PHYSICS 1140 1% 0% 2

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 LINEAR HYPERBOLIC EQUATION 774577 4% 61% 11 Search LINEAR+HYPERBOLIC+EQUATION Search LINEAR+HYPERBOLIC+EQUATION
2 TELEGRAPH EQUATION 721389 9% 26% 24 Search TELEGRAPH+EQUATION Search TELEGRAPH+EQUATION
3 SINE GORDON EQUATION 689245 15% 15% 41 Search SINE+GORDON+EQUATION Search SINE+GORDON+EQUATION
4 SECOND ORDER LINEAR HYPERBOLIC EQUATION 460910 2% 100% 4 Search SECOND+ORDER+LINEAR+HYPERBOLIC+EQUATION Search SECOND+ORDER+LINEAR+HYPERBOLIC+EQUATION
5 TELEGRAPHIC EQUATION 460906 2% 67% 6 Search TELEGRAPHIC+EQUATION Search TELEGRAPHIC+EQUATION
6 GAUSS LOBATTO CHEBYSHEV GRID POINTS 345683 1% 100% 3 Search GAUSS+LOBATTO+CHEBYSHEV+GRID+POINTS Search GAUSS+LOBATTO+CHEBYSHEV+GRID+POINTS
7 SECOND ORDER HYPERBOLIC TELEGRAPH EQUATION 345683 1% 100% 3 Search SECOND+ORDER+HYPERBOLIC+TELEGRAPH+EQUATION Search SECOND+ORDER+HYPERBOLIC+TELEGRAPH+EQUATION
8 SINE GORDON SG EQUATION 345683 1% 100% 3 Search SINE+GORDON+SG+EQUATION Search SINE+GORDON+SG+EQUATION
9 SLOPE MODULATION 345683 1% 100% 3 Search SLOPE+MODULATION Search SLOPE+MODULATION
10 TWO DIMENSIONAL LINEAR HYPERBOLIC EQUATION 345683 1% 100% 3 Search TWO+DIMENSIONAL+LINEAR+HYPERBOLIC+EQUATION Search TWO+DIMENSIONAL+LINEAR+HYPERBOLIC+EQUATION

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 LUO, XQ , DU, QK , (2013) AN UNCONDITIONALLY STABLE FOURTH-ORDER METHOD FOR TELEGRAPH EQUATION BASED ON HERMITE INTERPOLATION.APPLIED MATHEMATICS AND COMPUTATION. VOL. 219. ISSUE 15. P. 8237-8246 23 96% 4
2 JIWARI, R , (2015) LAGRANGE INTERPOLATION AND MODIFIED CUBIC B-SPLINE DIFFERENTIAL QUADRATURE METHODS FOR SOLVING HYPERBOLIC PARTIAL DIFFERENTIAL EQUATIONS WITH DIRICHLET AND NEUMANN BOUNDARY CONDITIONS.COMPUTER PHYSICS COMMUNICATIONS. VOL. 193. ISSUE . P. 55 -65 27 69% 1
3 MOHANTY, RK , (2014) NEW HIGH ACCURACY SUPER STABLE ALTERNATING DIRECTION IMPLICIT METHODS FOR TWO AND THREE DIMENSIONAL HYPERBOLIC DAMPED WAVE EQUATIONS.RESULTS IN PHYSICS. VOL. 4. ISSUE . P. 156 -163 22 85% 0
4 KEW, LM , HJ, N , ALI, M , (2015) NEW EXPLICIT GROUP ITERATIVE METHODS IN THE SOLUTION OF THREE DIMENSIONAL HYPERBOLIC TELEGRAPH EQUATIONS.JOURNAL OF COMPUTATIONAL PHYSICS. VOL. 294. ISSUE . P. 382 -404 17 94% 1
5 ZHANG, D , PENG, FS , MIAO, XP , (2016) A NEW UNCONDITIONALLY STABLE METHOD FOR TELEGRAPH EQUATION BASED ON ASSOCIATED HERMITE ORTHOGONAL FUNCTIONS.ADVANCES IN MATHEMATICAL PHYSICS. VOL. . ISSUE . P. - 24 67% 0
6 LIU, LB , LIU, HW , (2013) COMPACT DIFFERENCE SCHEMES FOR SOLVING TELEGRAPHIC EQUATIONS WITH NEUMANN BOUNDARY CONDITIONS.APPLIED MATHEMATICS AND COMPUTATION. VOL. 219. ISSUE 19. P. 10112-10121 20 83% 1
7 ZADVAN, H , RASHIDINIA, J , (2017) NON-POLYNOMIAL SPLINE METHOD FOR THE SOLUTION OF TWO-DIMENSIONAL LINEAR WAVE EQUATIONS WITH A NONLINEAR SOURCE TERM.NUMERICAL ALGORITHMS. VOL. 74. ISSUE 2. P. 289 -306 18 82% 0
8 SHAO, WT , WU, XH , (2014) THE NUMERICAL SOLUTION OF THE NONLINEAR KLEIN-GORDON AND SINE-GORDON EQUATIONS USING THE CHEBYSHEV TAU MESHLESS METHOD.COMPUTER PHYSICS COMMUNICATIONS. VOL. 185. ISSUE 5. P. 1399-1409 19 79% 4
9 SHARIFI, S , RASHIDINIA, J , (2016) NUMERICAL SOLUTION OF HYPERBOLIC TELEGRAPH EQUATION BY CUBIC B-SPLINE COLLOCATION METHOD.APPLIED MATHEMATICS AND COMPUTATION. VOL. 281. ISSUE . P. 28 -38 14 88% 1
10 PEKMEN, B , TEZER-SEZGIN, M , (2012) DIFFERENTIAL QUADRATURE SOLUTION OF NONLINEAR KLEIN-GORDON AND SINE-GORDON EQUATIONS.COMPUTER PHYSICS COMMUNICATIONS. VOL. 183. ISSUE 8. P. 1702-1713 19 70% 9

Classes with closest relation at Level 1



Rank Class id link
1 18023 HIGH ORDER COMPACT SCHEME//UNSTEADY CONVECTION DIFFUSION EQUATION//HIGH PERFORMANCE SCI COMP COMP SIMULAT
2 10618 MULTI SYMPLECTIC//RLW EQUATION//MULTI SYMPLECTIC SCHEME
3 14383 REPRODUCING KERNEL SPACE//NONLOCAL BOUNDARY CONDITIONS//REPRODUCING KERNEL METHOD
4 17000 NON POLYNOMIAL SPLINE//SINGULAR TWO POINT BOUNDARY VALUE PROBLEMS//END CONDITIONS
5 22349 BURGERS EQUATION//GENERALIZED TRAPEZOIDAL FORMULAS//MODIFIED BURGERS EQUATION
6 25094 INTRINSIC PARALLELISM//INTEGRAL MEAN METHOD//DOMAIN DECOMPOSITION PROCEDURES
7 22156 NONSTANDARD FINITE DIFFERENCE SCHEMES//NONSTANDARD FINITE DIFFERENCE METHOD//BURGERS HUXLEY EQUATION
8 30114 STOCHASTIC OPERATIONAL MATRIX//UNIV MATEMAT MULTIDISCIPLINAR//RANDOM DIFFERENTIAL EQUATIONS
9 30091 ANALYTIC NUMERICAL SOLUTION//COUPLED DIFFUSION PROBLEM//A PRIORI ERROR BOUND
10 6693 LONG JOSEPHSON JUNCTION//FLUXONS//PL SCI INTELLIGENT SYST E CAIANELLO

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