Class information for:
Level 1: NONSTANDARD FINITE DIFFERENCE SCHEMES//NONSTANDARD FINITE DIFFERENCE METHOD//BURGERS HUXLEY EQUATION

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
22156 391 21.4 48%



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
22156 1                   NONSTANDARD FINITE DIFFERENCE SCHEMES//NONSTANDARD FINITE DIFFERENCE METHOD//BURGERS HUXLEY EQUATION 391

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 NONSTANDARD FINITE DIFFERENCE SCHEMES authKW 2466366 12% 69% 46
2 NONSTANDARD FINITE DIFFERENCE METHOD authKW 1701448 8% 68% 32
3 BURGERS HUXLEY EQUATION authKW 1145375 6% 67% 22
4 EXACT FINITE DIFFERENCE SCHEMES authKW 709950 3% 91% 10
5 DYNAMICALLY CONSISTENT authKW 702853 2% 100% 9
6 BURGERS FISHER EQUATION authKW 555843 3% 65% 11
7 ELEMENTARY STABLE authKW 555339 2% 89% 8
8 NSFD authKW 546663 2% 100% 7
9 GENERALIZED BURGERS HUXLEY EQUATION authKW 527135 2% 75% 9
10 BOUNDEDNESS PRESERVATION authKW 401628 2% 86% 6

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 13423 73% 0% 284
2 Mathematics, Interdisciplinary Applications 1037 12% 0% 47
3 Computer Science, Interdisciplinary Applications 272 8% 0% 30
4 Computer Science, Software Engineering 260 6% 0% 25
5 Physics, Mathematical 151 6% 0% 24
6 Engineering, General 129 5% 0% 19
7 History & Philosophy of Science 92 2% 0% 7
8 Mathematics 86 8% 0% 31
9 History of Social Sciences 64 1% 0% 4
10 Mechanics 41 5% 0% 18

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 MATEMAT FIS 149140 8% 6% 33
2 G LEMAI TRE ASTRON GEOPHYS ASTR 78095 0% 100% 1
3 GRP MATEMAT MULTIDISCIPLINAR GMM 78095 0% 100% 1
4 INVEST MATEMAT LICADA CIMA 78095 0% 100% 1
5 MATEM FIS 78095 0% 100% 1
6 UMR760 78095 0% 100% 1
7 GRP TESEEO 62473 1% 40% 2
8 SYRTEPSL UNIVCNRSLNE 39046 0% 50% 1
9 WOMEN STUDENTS SCI SECT 39046 0% 50% 1
10 MATH PL MATH 34035 7% 2% 28

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 JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS 211518 17% 4% 65
2 NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS 36133 6% 2% 25
3 INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS 5666 4% 0% 17
4 MATHEMATICS AND COMPUTERS IN SIMULATION 4876 4% 0% 15
5 ARCHIVE FOR HISTORY OF EXACT SCIENCES 4627 2% 1% 6
6 APPLIED MATHEMATICS AND COMPUTATION 4540 8% 0% 32
7 APPLIED NUMERICAL MATHEMATICS 3198 3% 0% 11
8 JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 2476 5% 0% 18
9 RUSSIAN STUDIES IN LITERATURE 2439 0% 3% 1
10 COMPUTERS & MATHEMATICS WITH APPLICATIONS 2336 4% 0% 17

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 NONSTANDARD FINITE DIFFERENCE SCHEMES 2466366 12% 69% 46 Search NONSTANDARD+FINITE+DIFFERENCE+SCHEMES Search NONSTANDARD+FINITE+DIFFERENCE+SCHEMES
2 NONSTANDARD FINITE DIFFERENCE METHOD 1701448 8% 68% 32 Search NONSTANDARD+FINITE+DIFFERENCE+METHOD Search NONSTANDARD+FINITE+DIFFERENCE+METHOD
3 BURGERS HUXLEY EQUATION 1145375 6% 67% 22 Search BURGERS+HUXLEY+EQUATION Search BURGERS+HUXLEY+EQUATION
4 EXACT FINITE DIFFERENCE SCHEMES 709950 3% 91% 10 Search EXACT+FINITE+DIFFERENCE+SCHEMES Search EXACT+FINITE+DIFFERENCE+SCHEMES
5 DYNAMICALLY CONSISTENT 702853 2% 100% 9 Search DYNAMICALLY+CONSISTENT Search DYNAMICALLY+CONSISTENT
6 BURGERS FISHER EQUATION 555843 3% 65% 11 Search BURGERS+FISHER+EQUATION Search BURGERS+FISHER+EQUATION
7 ELEMENTARY STABLE 555339 2% 89% 8 Search ELEMENTARY+STABLE Search ELEMENTARY+STABLE
8 NSFD 546663 2% 100% 7 Search NSFD Search NSFD
9 GENERALIZED BURGERS HUXLEY EQUATION 527135 2% 75% 9 Search GENERALIZED+BURGERS+HUXLEY+EQUATION Search GENERALIZED+BURGERS+HUXLEY+EQUATION
10 BOUNDEDNESS PRESERVATION 401628 2% 86% 6 Search BOUNDEDNESS+PRESERVATION Search BOUNDEDNESS+PRESERVATION

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 PATIDAR, KC , (2016) NONSTANDARD FINITE DIFFERENCE METHODS: RECENT TRENDS AND FURTHER DEVELOPMENTS.JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS. VOL. 22. ISSUE 6. P. 817 -849 83 56% 1
2 WOOD, DT , KOJOUHAROV, HV , DIMITROV, DT , (2017) UNIVERSAL APPROACHES TO APPROXIMATE BIOLOGICAL SYSTEMS WITH NONSTANDARD FINITE DIFFERENCE METHODS.MATHEMATICS AND COMPUTERS IN SIMULATION. VOL. 133. ISSUE . P. 337 -350 27 79% 0
3 ZIBAEI, S , ZEINADINI, M , NAMJOO, M , (2016) NUMERICAL SOLUTIONS OF BURGERS-HUXLEY EQUATION BY EXACT FINITE DIFFERENCE AND NSFD SCHEMES.JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS. VOL. 22. ISSUE 8. P. 1098 -1113 20 91% 0
4 MOHAMMADI, R , (2013) B-SPLINE COLLOCATION ALGORITHM FOR NUMERICAL SOLUTION OF THE GENERALIZED BURGER'S-HUXLEY EQUATION.NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS. VOL. 29. ISSUE 4. P. 1173 -1191 23 82% 4
5 MACIAS-DIAZ, JE , SZAFRANSKA, A , (2014) EXISTENCE AND UNIQUENESS OF MONOTONE AND BOUNDED SOLUTIONS FOR A FINITE-DIFFERENCE DISCRETIZATION A LA MICKENS OF THE GENERALIZED BURGERS-HUXLEY EQUATION.JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS. VOL. 20. ISSUE 7. P. 989 -1004 22 76% 1
6 WANG, LS , ROEGER, LIW , (2015) NONSTANDARD FINITE DIFFERENCE SCHEMES FOR A CLASS OF GENERALIZED CONVECTION-DIFFUSION-REACTION EQUATIONS.NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS. VOL. 31. ISSUE 4. P. 1288 -1309 20 80% 1
7 SARI, M , GURARSLAN, G , ZEYTINOGLU, A , (2011) HIGH-ORDER FINITE DIFFERENCE SCHEMES FOR NUMERICAL SOLUTIONS OF THE GENERALIZED BURGERS-HUXLEY EQUATION.NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS. VOL. 27. ISSUE 5. P. 1313 -1326 19 86% 8
8 DANG, QA , HOANG, MT , (2016) DYNAMICALLY CONSISTENT DISCRETE METAPOPULATION MODEL.JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS. VOL. 22. ISSUE 9. P. 1325 -1349 18 82% 0
9 PATIDAR, KC , (2005) ON THE USE OF NONSTANDARD FINITE DIFFERENCE METHODS.JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS. VOL. 11. ISSUE 8. P. 735-758 35 49% 46
10 MACIAS-DIAZ, JE , (2015) AN INTEGRO-DIFFERENTIAL GENERALIZATION AND DYNAMICALLY CONSISTENT DISCRETIZATIONS OF SOME HYPERBOLIC MODELS WITH NONLINEAR DAMPING.INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS. VOL. 92. ISSUE 10. P. 2109 -2120 17 77% 0

Classes with closest relation at Level 1



Rank Class id link
1 22349 BURGERS EQUATION//GENERALIZED TRAPEZOIDAL FORMULAS//MODIFIED BURGERS EQUATION
2 29279 FLUX LIMITED DIFFUSION EQUATIONS//RELATIVISTIC HEAT EQUATION//TELEGRAPH REACTION DIFFUSION EQUATION
3 26010 LINEAR HYPERBOLIC EQUATION//TELEGRAPH EQUATION//SINE GORDON EQUATION
4 20817 INFORMATION METABOLISM//SPURIOUS SOLUTIONS//ASYMPTOTIC BEHAVIOR OF NUMERICAL SOLUTIONS
5 26640 ACCELERATION WAVES//SHOCK AND ACCELERATION WAVES//KUZNETSOVS EQUATION
6 33133 GAUSSIAN APPROXIMATING FUNCTIONS//APPROXIMATE APPROXIMATIONS//APPROXIMATE FACTORIZATION ERRORS
7 33616 PLANCK GAS//SCI TEACHERS//QUANTUM HEAT TRANSPORT
8 27647 NONEQUILIBRIUM HYDRODYNAMICS//QUEENSBOROUGH COMMUNITY PHYS//NN ANDREEV ACOUST
9 17607 CNRS URA 765//DEPARTURE FROM PARTIAL EQUILIBRIUM//FINITE MEMORY EFFECT
10 2065 EPIDEMIC MODEL//BASIC REPRODUCTION NUMBER//BACKWARD BIFURCATION

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