Class information for:
Level 1: BURGERS EQUATION//GENERALIZED TRAPEZOIDAL FORMULAS//MODIFIED BURGERS EQUATION

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
22349 385 20.1 44%


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
22349 1                   BURGERS EQUATION//GENERALIZED TRAPEZOIDAL FORMULAS//MODIFIED BURGERS EQUATION 385

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 BURGERS EQUATION authKW 1233251 26% 15% 102
2 GENERALIZED TRAPEZOIDAL FORMULAS authKW 485783 2% 88% 7
3 MODIFIED BURGERS EQUATION authKW 417238 3% 48% 11
4 EXTENDED ONE STEP METHODS authKW 407888 2% 86% 6
5 HOPF COLE TRANSFORMATION authKW 383857 3% 44% 11
6 COUPLED VISCOUS BURGERS EQUATION authKW 317247 1% 100% 4
7 EULER IMPLICIT METHOD authKW 237936 1% 100% 3
8 EXTENDED TRAPEZOIDAL FORMULA authKW 237936 1% 100% 3
9 NON DISSIPATIVE METHODS authKW 178450 1% 75% 3
10 THE METHOD OF DISCRETIZATION IN TIME authKW 178450 1% 75% 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 7208 54% 0% 208
2 Mathematics, Interdisciplinary Applications 4117 24% 0% 91
3 Engineering, General 1392 15% 0% 57
4 Mechanics 926 18% 0% 68
5 Computer Science, Interdisciplinary Applications 762 12% 0% 48
6 Physics, Fluids & Plasmas 274 7% 0% 27
7 Physics, Mathematical 236 8% 0% 29
8 Engineering, Aerospace 117 3% 0% 11
9 Physics, Multidisciplinary 46 7% 0% 26
10 Computer Science, Software Engineering 40 3% 0% 11

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 FLIGHT DYNAM OPERAT 105748 1% 67% 2
2 KAY MECH DISASTER ENVIRONM WESTERN CHINA 79312 0% 100% 1
3 PH D PROGRAM CIVIL HYDRAUL ENGN 79312 0% 100% 1
4 PH D PROGRAM MECH AERONAUT ENGN 39655 0% 50% 1
5 TRACKING COMMAND NETWORK 39655 0% 50% 1
6 PARALLELISM ALGORITHMS ARCHITECTURE 19826 0% 25% 1
7 ESCOLA SUPER GESTAO 15861 0% 20% 1
8 IST ANALISI NUMER 13217 0% 17% 1
9 CUA 7208 0% 9% 1
10 NOOR BRANCH 7208 0% 9% 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 INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS 27345 10% 1% 37
2 APPLIED MATHEMATICS AND COMPUTATION 19162 17% 0% 65
3 COMPUTERS & MATHEMATICS WITH APPLICATIONS 5156 6% 0% 25
4 INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS 4477 4% 0% 17
5 OPEN PHYSICS 2329 1% 1% 2
6 JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 2242 4% 0% 17
7 KUWAIT JOURNAL OF SCIENCE 2043 1% 1% 2
8 JOURNAL OF NUMERICAL MATHEMATICS 2017 1% 1% 2
9 SCIENCE IN CHINA SERIES G-PHYSICS MECHANICS & ASTRONOMY 1487 1% 0% 4
10 REVUE ROUMAINE DE MATHEMATIQUES PURES ET APPLIQUEES 1465 1% 1% 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 BURGERS EQUATION 1233251 26% 15% 102 Search BURGERS+EQUATION Search BURGERS+EQUATION
2 GENERALIZED TRAPEZOIDAL FORMULAS 485783 2% 88% 7 Search GENERALIZED+TRAPEZOIDAL+FORMULAS Search GENERALIZED+TRAPEZOIDAL+FORMULAS
3 MODIFIED BURGERS EQUATION 417238 3% 48% 11 Search MODIFIED+BURGERS+EQUATION Search MODIFIED+BURGERS+EQUATION
4 EXTENDED ONE STEP METHODS 407888 2% 86% 6 Search EXTENDED+ONE+STEP+METHODS Search EXTENDED+ONE+STEP+METHODS
5 HOPF COLE TRANSFORMATION 383857 3% 44% 11 Search HOPF+COLE+TRANSFORMATION Search HOPF+COLE+TRANSFORMATION
6 COUPLED VISCOUS BURGERS EQUATION 317247 1% 100% 4 Search COUPLED+VISCOUS+BURGERS+EQUATION Search COUPLED+VISCOUS+BURGERS+EQUATION
7 EULER IMPLICIT METHOD 237936 1% 100% 3 Search EULER+IMPLICIT+METHOD Search EULER+IMPLICIT+METHOD
8 EXTENDED TRAPEZOIDAL FORMULA 237936 1% 100% 3 Search EXTENDED+TRAPEZOIDAL+FORMULA Search EXTENDED+TRAPEZOIDAL+FORMULA
9 NON DISSIPATIVE METHODS 178450 1% 75% 3 Search NON+DISSIPATIVE+METHODS Search NON+DISSIPATIVE+METHODS
10 THE METHOD OF DISCRETIZATION IN TIME 178450 1% 75% 3 Search THE+METHOD+OF+DISCRETIZATION+IN+TIME Search THE+METHOD+OF+DISCRETIZATION+IN+TIME

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 TAMSIR, M , SRIVASTAVA, VK , JIWARI, R , (2016) AN ALGORITHM BASED ON EXPONENTIAL MODIFIED CUBIC B-SPLINE DIFFERENTIAL QUADRATURE METHOD FOR NONLINEAR BURGERS' EQUATION.APPLIED MATHEMATICS AND COMPUTATION. VOL. 290. ISSUE . P. 111 -124 27 75% 0
2 MITTAL, RC , JAIN, RK , (2012) NUMERICAL SOLUTIONS OF NONLINEAR BURGERS' EQUATION WITH MODIFIED CUBIC B-SPLINES COLLOCATION METHOD.APPLIED MATHEMATICS AND COMPUTATION. VOL. 218. ISSUE 15. P. 7839 -7855 19 95% 23
3 DHAWAN, S , KAPOOR, S , KUMAR, S , RAWAT, S , (2012) CONTEMPORARY REVIEW OF TECHNIQUES FOR THE SOLUTION OF NONLINEAR BURGERS EQUATION.JOURNAL OF COMPUTATIONAL SCIENCE. VOL. 3. ISSUE 5. P. 405-419 51 38% 6
4 JIWARI, R , (2015) A HYBRID NUMERICAL SCHEME FOR THE NUMERICAL SOLUTION OF THE BURGERS' EQUATION.COMPUTER PHYSICS COMMUNICATIONS. VOL. 188. ISSUE . P. 59 -67 22 73% 2
5 ARORA, G , SINGH, BK , (2013) NUMERICAL SOLUTION OF BURGERS' EQUATION WITH MODIFIED CUBIC B-SPLINE DIFFERENTIAL QUADRATURE METHOD.APPLIED MATHEMATICS AND COMPUTATION. VOL. 224. ISSUE . P. 166 -177 21 70% 9
6 ALTIPARMAK, K , OZIS, T , (2011) NUMERICAL SOLUTION OF BURGERS' EQUATION WITH FACTORIZED DIAGONAL PADE APPROXIMATION.INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW. VOL. 21. ISSUE 3-4. P. 310-319 18 82% 7
7 GUO, Y , SHI, YF , LI, YM , (2016) A FIFTH-ORDER FINITE VOLUME WEIGHTED COMPACT SCHEME FOR SOLVING ONE-DIMENSIONAL BURGERS' EQUATION.APPLIED MATHEMATICS AND COMPUTATION. VOL. 281. ISSUE . P. 172 -185 22 59% 0
8 KARAKOC, SBG , BASHAN, A , GEYIKLI, T , (2014) TWO DIFFERENT METHODS FOR NUMERICAL SOLUTION OF THE MODIFIED BURGERS' EQUATION.SCIENTIFIC WORLD JOURNAL. VOL. . ISSUE . P. - 17 77% 2
9 IRK, D , (2009) SEXTIC B-SPLINE COLLOCATION METHOD FOR THE MODIFIED BURGERS' EQUATION.KYBERNETES. VOL. 38. ISSUE 9. P. 1599-1620 14 100% 7
10 GAO, F , CHI, CM , (2014) NUMERICAL SOLUTION OF NONLINEAR BURGERS' EQUATION USING HIGH ACCURACY MULTI-QUADRIC QUASI-INTERPOLATION.APPLIED MATHEMATICS AND COMPUTATION. VOL. 229. ISSUE . P. 414 -421 18 69% 1

Classes with closest relation at Level 1


Rank Class id link
1 26010 LINEAR HYPERBOLIC EQUATION//TELEGRAPH EQUATION//SINE GORDON EQUATION
2 22156 NONSTANDARD FINITE DIFFERENCE SCHEMES//NONSTANDARD FINITE DIFFERENCE METHOD//BURGERS HUXLEY EQUATION
3 18023 HIGH ORDER COMPACT SCHEME//UNSTEADY CONVECTION DIFFUSION EQUATION//HIGH PERFORMANCE SCI COMP COMP SIMULAT
4 10618 MULTI SYMPLECTIC//RLW EQUATION//MULTI SYMPLECTIC SCHEME
5 30085 NON NEWTONIAN COMPRESSIBLE FLUID//VORTEX SHALLOW WATER//GENERALIZED BURGERS EQUATION
6 25094 INTRINSIC PARALLELISM//INTEGRAL MEAN METHOD//DOMAIN DECOMPOSITION PROCEDURES
7 34483 ALMOST SURE PRACTICAL ASYMPTOTIC STABILITY//DRAIN TRENCHES//MODELING IN SOIL MECHANICS
8 17000 NON POLYNOMIAL SPLINE//SINGULAR TWO POINT BOUNDARY VALUE PROBLEMS//END CONDITIONS
9 25061 BRATUS PROBLEM//TROESCHS PROBLEM//CONTINUOUS GENETIC ALGORITHM
10 34256 ASYMPTOTIC NATURE//EXTENDED REAL STABILITY BOUNDARIES//LAMBERTS METHOD

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