Class information for:
Level 1: BRATUS PROBLEM//TROESCHS PROBLEM//CONTINUOUS GENETIC ALGORITHM

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
25061 292 25.5 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
2408 2             HOMOTOPY PERTURBATION METHOD//VARIATIONAL ITERATION METHOD//ADOMIAN DECOMPOSITION METHOD 4192
25061 1                   BRATUS PROBLEM//TROESCHS PROBLEM//CONTINUOUS GENETIC ALGORITHM 292

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 BRATUS PROBLEM authKW 981815 4% 72% 13
2 TROESCHS PROBLEM authKW 580951 3% 56% 10
3 CONTINUOUS GENETIC ALGORITHM authKW 418283 3% 50% 8
4 DIFFERENTIAL EQUATION COMPOSITION authKW 313718 1% 100% 3
5 NON FICK DIFFUSION authKW 313718 1% 100% 3
6 2 DIMENSIONAL BRATU EQUATIONS authKW 209145 1% 100% 2
7 BLOCK BROYDEN METHOD authKW 209145 1% 100% 2
8 BRATU TYPE EQUATIONS authKW 209145 1% 100% 2
9 CARTESIAN PATH GENERATION authKW 209145 1% 100% 2
10 MESSHLESS LOCAL PETROV GALERKIN MLPG METHOD authKW 209145 1% 100% 2

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 Computer Science, Artificial Intelligence 1410 18% 0% 54
2 Mathematics, Applied 1295 27% 0% 79
3 Mathematics, Interdisciplinary Applications 724 12% 0% 34
4 Computer Science, Interdisciplinary Applications 469 11% 0% 33
5 Engineering, General 457 10% 0% 29
6 Physics, Mathematical 379 11% 0% 31
7 Mechanics 215 10% 0% 30
8 Computer Science, Theory & Methods 90 5% 0% 16
9 Automation & Control Systems 78 4% 0% 11
10 Engineering, Mechanical 69 6% 0% 17

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 SECT E 9 209145 1% 100% 2
2 ADV CONCEPTS DEV 104573 0% 100% 1
3 HAMDARD INFROMAT TECHNOL 104573 0% 100% 1
4 IT4INNOVAT OSTRAVA 104573 0% 100% 1
5 IT4INNOVATIONS OSTRAVA 104573 0% 100% 1
6 UP INTEGRATED 104573 0% 100% 1
7 SECT H 10 69712 1% 33% 2
8 ARGENTINA INGN 52285 0% 50% 1
9 BUSINESSES 52285 0% 50% 1
10 IL ENGN TECHNOL 52285 0% 50% 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 NEURAL COMPUTING & APPLICATIONS 4455 3% 0% 10
2 APPLIED MATHEMATICS AND COMPUTATION 2870 8% 0% 22
3 NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS 1928 2% 0% 5
4 APPLIED SOFT COMPUTING 1824 3% 0% 8
5 KUWAIT JOURNAL OF SCIENCE & ENGINEERING 1702 1% 1% 3
6 CONNECTION SCIENCE 1283 1% 1% 2
7 NEURAL NETWORKS 1186 2% 0% 6
8 NEUROCOMPUTING 1077 3% 0% 10
9 COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION 1006 2% 0% 6
10 IEEE TRANSACTIONS ON NEURAL NETWORKS 897 2% 0% 5

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 BRATUS PROBLEM 981815 4% 72% 13 Search BRATUS+PROBLEM Search BRATUS+PROBLEM
2 TROESCHS PROBLEM 580951 3% 56% 10 Search TROESCHS+PROBLEM Search TROESCHS+PROBLEM
3 CONTINUOUS GENETIC ALGORITHM 418283 3% 50% 8 Search CONTINUOUS+GENETIC+ALGORITHM Search CONTINUOUS+GENETIC+ALGORITHM
4 DIFFERENTIAL EQUATION COMPOSITION 313718 1% 100% 3 Search DIFFERENTIAL+EQUATION+COMPOSITION Search DIFFERENTIAL+EQUATION+COMPOSITION
5 NON FICK DIFFUSION 313718 1% 100% 3 Search NON+FICK+DIFFUSION Search NON+FICK+DIFFUSION
6 2 DIMENSIONAL BRATU EQUATIONS 209145 1% 100% 2 Search 2+DIMENSIONAL+BRATU+EQUATIONS Search 2+DIMENSIONAL+BRATU+EQUATIONS
7 BLOCK BROYDEN METHOD 209145 1% 100% 2 Search BLOCK+BROYDEN+METHOD Search BLOCK+BROYDEN+METHOD
8 BRATU TYPE EQUATIONS 209145 1% 100% 2 Search BRATU+TYPE+EQUATIONS Search BRATU+TYPE+EQUATIONS
9 CARTESIAN PATH GENERATION 209145 1% 100% 2 Search CARTESIAN+PATH+GENERATION Search CARTESIAN+PATH+GENERATION
10 MESSHLESS LOCAL PETROV GALERKIN MLPG METHOD 209145 1% 100% 2 Search MESSHLESS+LOCAL+PETROV+GALERKIN+MLPG+METHOD Search MESSHLESS+LOCAL+PETROV+GALERKIN+MLPG+METHOD

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 RAJA, MAZ , SAMAR, R , ALAIDAROUS, ES , SHIVANIAN, E , (2016) BIO-INSPIRED COMPUTING PLATFORM FOR RELIABLE SOLUTION OF BRATU-TYPE EQUATIONS ARISING IN THE MODELING OF ELECTRICALLY CONDUCTING SOLIDS.APPLIED MATHEMATICAL MODELLING. VOL. 40. ISSUE 11-12. P. 5964 -5977 34 83% 0
2 RAJA, MAZ , AHMAD, SU , SAMAR, R , (2014) SOLUTION OF THE 2-DIMENSIONAL BRATU PROBLEM USING NEURAL NETWORK, SWARM INTELLIGENCE AND SEQUENTIAL QUADRATIC PROGRAMMING.NEURAL COMPUTING & APPLICATIONS. VOL. 25. ISSUE 7-8. P. 1723 -1739 20 74% 1
3 NASAB, AK , ATABAKAN, ZP , KILICMAN, A , (2013) AN EFFICIENT APPROACH FOR SOLVING NONLINEAR TROESCH'S AND BRATU'S PROBLEMS BY WAVELET ANALYSIS METHOD.MATHEMATICAL PROBLEMS IN ENGINEERING. VOL. . ISSUE . P. - 19 79% 1
4 MASOOD, Z , MAJEED, K , SAMAR, R , RAJA, MAZ , (2017) DESIGN OF MEXICAN HAT WAVELET NEURAL NETWORKS FOR SOLVING BRATU TYPE NONLINEAR SYSTEMS.NEUROCOMPUTING. VOL. 221. ISSUE . P. 1 -14 22 61% 0
5 RAJA, MAZ , SAMAR, R , RASHIDI, MM , (2014) APPLICATION OF THREE UNSUPERVISED NEURAL NETWORK MODELS TO SINGULAR NONLINEAR BVP OF TRANSFORMED 2D BRATU EQUATION.NEURAL COMPUTING & APPLICATIONS. VOL. 25. ISSUE 7-8. P. 1585 -1601 20 69% 1
6 RAJA, MAZ , KHAN, JA , SHAH, SM , SAMAR, R , BEHLOUL, D , (2015) COMPARISON OF THREE UNSUPERVISED NEURAL NETWORK MODELS FOR FIRST PAINLEV, TRANSCENDENT.NEURAL COMPUTING & APPLICATIONS. VOL. 26. ISSUE 5. P. 1055 -1071 18 72% 1
7 RAJA, MAZ , (2014) SOLUTION OF THE ONE-DIMENSIONAL BRATU EQUATION ARISING IN THE FUEL IGNITION MODEL USING ANN OPTIMISED WITH PSO AND SQP.CONNECTION SCIENCE. VOL. 26. ISSUE 3. P. 195 -214 20 65% 3
8 KAFRI, HQ , KHURI, SA , (2016) BRATU'S PROBLEM: A NOVEL APPROACH USING FIXED-POINT ITERATIONS AND GREEN'S FUNCTIONS.COMPUTER PHYSICS COMMUNICATIONS. VOL. 198. ISSUE . P. 97 -104 15 75% 1
9 RAJA, MAZ , AHMAD, SU , (2014) NUMERICAL TREATMENT FOR SOLVING ONE-DIMENSIONAL BRATU PROBLEM USING NEURAL NETWORKS.NEURAL COMPUTING & APPLICATIONS. VOL. 24. ISSUE 3-4. P. 549 -561 17 71% 4
10 RAJA, MAZ , SAMAR, R , HAROON, T , SHAH, SM , (2015) UNSUPERVISED NEURAL NETWORK MODEL OPTIMIZED WITH EVOLUTIONARY COMPUTATIONS FOR SOLVING VARIANTS OF NONLINEAR MHD JEFFERY-HAMEL PROBLEM.APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION. VOL. 36. ISSUE 12. P. 1611 -1638 22 49% 4

Classes with closest relation at Level 1



Rank Class id link
1 26289 LANE EMDEN EQUATION//LANE EMDEN TYPE EQUATIONS//ISOTHERMAL GAS SPHERES
2 30781 LEVEL CROSSING SAMPLING//CONTINUOUS TIME DIGITAL SIGNAL PROCESSING//ASYNCHRONOUS ADC
3 17000 NON POLYNOMIAL SPLINE//SINGULAR TWO POINT BOUNDARY VALUE PROBLEMS//END CONDITIONS
4 885 HOMOTOPY PERTURBATION METHOD//VARIATIONAL ITERATION METHOD//ADOMIAN DECOMPOSITION METHOD
5 35862 GAUSSIAN DOUBLE WELL//GENETIC ALGORITHM AND ELECTRONIC STRUCTURE//PERTURBATIONAL MOLECULAR ORBITAL THEORY
6 17049 IMPLICITLY DEFINED CURVE//BIALTERNATE PRODUCT//UNILATERAL DYNAMIC CONTACT
7 11247 SIGMOIDAL FUNCTION//RIDGE FUNCTIONS//COMMUN COMP SYST SCI DIST
8 36583 ESIME AZC OTZALCO//CYLINDRICAL ROBOTIC ARM//TRANSELEVATOR
9 22349 BURGERS EQUATION//GENERALIZED TRAPEZOIDAL FORMULAS//MODIFIED BURGERS EQUATION
10 14383 REPRODUCING KERNEL SPACE//NONLOCAL BOUNDARY CONDITIONS//REPRODUCING KERNEL METHOD

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