Research Guidance

 

Prof. L. P. Singh
S.No.
 
Name of the student
Thesis Title/Proposed Area of research
Status
1.
 Mr. Ajay Kumar
Algebraic Graph Theory
Ongoing
2.
Mr. Abhay Rajpoot
Algebraic Graph Theory
Ongoing
3.
Ms. Nisha Singh,
(Part-time)
Yet to  be decided
 
4.
 Mr. Ajay Kumar Patel (as Co-Supervisor)
Algebraic Graph Theory
Ongoing

 

Dr. Lavanya S.

Sl.No.
Name of Student
Thesis Title
Status (Awarded/Submitted/Ongoing)
1.
Mithilesh Singh
Some studies on propagation of non-linear waves in gaseous media.
Awarded
2.
Akmal Husain
Some Investigations Concerning Propagation of Non-linear Waves in Gas Dynamics.
Awarded
3.
Subedar Ram
Study Concerning the Propagation of Nonlinear Waves in Gaseous Media.
Awarded
4.
Dheerendra Bahadur Singh
Some Aspects of Nonlinear Wave propagation in Gaseous Media.
Awarded
5.
Shikha Gaur
Numerical Solution of Advection-Dispersion Equation using Wavelets.
Awarded
6.
Raghwendra Singh
Study of Certain Aspects of Nonlinear Waves in Gaseous Media.
Awarded
7.
Triloki Nath
Some Investigations on Non-linear Wave Propagation in Gaseous Media
Submitted
8.
Raj Kumar Gupta
Some aspects of nonlinear wave propagation involving hyperbolic partial differential equations.
Submitted
9.
Jitendra Pal Chaudhary
 
Ongoing
10.
Pooja Gupta
 
Ongoing
11.
Rahul Kumar Chaturvedi
 
Ongoing
12.
Shobhit Kumar Srivastava
 
Ongoing

 

Prof. Sanjay Kumar Pandey

S.N.
Name of Student
Thesis Title
Status (Awarded/ Submitted/Ongoing)
 1
Dr Dharmendra Tripathi 
Mathematical Modelling of peristaltic transport of non-Newtonian fluids: Application to physiological flows
 Awarded
2
Dr Mithilesh Kumar Chaube
Investigation of some flow characteristics of peristaltic transport through mathematical models: Application to physiological flows
Awarded
3
Dr Manish Kumar Singh
Study of spatially homogeneous and anisotropic cosmological models in modified theories of gravitation
Awarded
(under co-supervision)
4
Mr. Shailendra Kumar Tiwari
Mathematical modelling of peristaltic transport: Investigation of oesophageal swallowing in normal and pathological states
Submitted
5
Mr. Jagdish Prasad Maurya
Exploration of vortex dynamics of atmospheric vortices: Application to dust devils, tornadoes and hurricanes
Ongoing
6.
Mr. Subhash Chandra
Mathematical modelling of some bio-systems
On leave
7
Mr. Amirlal Singh
Exploration of the flow dynamics of some bio-systems
On leave
8
Mr. Raja Pathak
(Dept. of Jyotish, BHU)
Construction of astrological models based on Surya-siddhant
Ongoing
(under co-supervision)
9.
Mr. Ajay Kumar Patel
Graph theoretic modeliing
Ongoing
(under co-supervision of Dr Lavnay S.)

 

Prof. T. Som

Sl.No.  
Name of the
student
Thesis Title
Status
Awarded/submitted/
ongoing
1
Nabendu Sen
Modelling of Transportation Related Problems in North Eastern Region of India and Their Solutions: A Case Study of Southern Part
2008
2
Sumit Saha
Investigations of Image Processing and Pattern Recognition Techniques and their Modifications
2008
3
Pratibha Borah
Mathematical Modelling of  Electrorheological Fluids with Suspension of Particles and a Carrier Oil
2008
4
ShahinAra Begum 
Study of Soft Computing Methodologies and its Application to Data Clustering
2008
5
Rinku Chakravarty
A Study on Gravitational Potential due to SomeNon-spherical bodies and Applications
2009
6
Amalendu Choudhury
Some Study on the Theory of Fixed Points in Metric,  Banach and 2-Banach Spaces and Their Applications
2010
7
Lokesh Kumar
Study on Fixed Point Theory and its Applications
2013
8
Dileep Kumar Patel 
Some Studies on Handwritten Character Recognition Problems (Co-supervisor: Dr. M K Singh, CIMS-BHU)
2014
9
Piush Kumar Singh
Approximate Solutions of Some Physical Problems in Fractional Order Systems and Abel’s Integral Equations (Co-supervisor: Dr. S. Das)
2014
10
Hitesh Rajput
Alpha-Numerals Recognition: Vehicle Number Plate   Recognition (Co-supervisor: Dr. S Kar of BARC, Mumbai)
2015
11
Ghanshyam Prasad 
   Study of Some Problems on Dynamical Systems and  Fractional Calculus
submitted
12
Deepak Rout
Fixed Point Theory on Various Spaces
(Registered at CIMS : BHU)
submitted
13
Vandana Tiwari
Study on Fixed Point Theory on Various Metric and Fuzzy Metric Spaces
ongoing
14
Shivam Shreevastava
Hybridization of Rough Sets with Intuitionistic Fuzzy Sets and their  Applications to Attribute Reduction
ongoing
15
Avinash Dixit
On Convergence of Inertial Iterative Algorithms
ongoing
16
Pankaj Gautam
Study on Split Inclusion Problems
ongoing
17
Shivani Singh
Study on Fuzzy & Intuitionistic Fuzzy Sets and their Applications  (Registered at CIMS : BHU)
ongoing

 

Dr. Rajesh K. Pandey

S.No.
Name of the student
Thesis Title/Proposed Area of research
Status
1.
Harendra Singh
Weak Asymptotic Approach To Conservation Laws and Fractional Partial Differential Equations
Awarded
2016
2.
Kamlesh Kumar
Numerical Approximations of Fractional Derivatives with Applications
Ongoing
3.
Shiva Sharma
Spectral Methods For Integral and Integro-Differential Equations
Ongoing
(On Leave)
4.
Ashan Gupta
Integral Equations
Ongoing
(On Leave)
5.
Anil Kumar Shukla
Application of Fractional Derivatives in Image Processing
Ongoing
6
Swati Yadav
Numerical Schemes for Some Fractional Partial Differential Equations
Ongoing
7.
Prashant Kumar Pandey
Integral Equations
Ongoing

 

Dr. V. K. Singh

S.N.
Name of Student
Thesis Title
Status (Awarded/Submitted/Ongoing)
 1
 Mr. Somveer Singh
 Numerical Methods Based on Wavelets and Operational Matrices for Partial Differential Equations and Integral Equations
 Submitted 2017
2.
Mr. Vijay Kumar Patel
Applications of Wavelets and Operational Matrices for Partial Differential Equations and Singular Integral Equations
Submitted 2017
3.
Mr. Rahul Kumar Maurya
Numerical wavelets methods for partial differential and integral equations
Ongoing
4.
Ms. Vinita Devi
Numerical wavelets methods for partial differential and integral equations
Ongoing

 

Dr. Santwana Mukhopadhyay

Sl.No
Name of the students
Title of Thesis
Status (Awarded/Submitted/Ongoing)
 
1
Dr. Roushan Kumar
Study of Some Problems on Generalized Thermoelasticity and Two-temperature Thermoelasticity
Awarded (2010)
2
 
Dr. Rajesh Prasad
Some Studies on Generalized Thermoelasticity and Crack Problems
Awarded (2012)
3
Dr. Shweta Kothari
Some Aspects of Generalized Thermoelasticity and Thermoelastic Diffusion
Awarded (2013)
4
Dr. Rakhi Tiwari
Modelling on Advanced Thermoelasticity and Magneto-thermoelasticity
Awarded (2017)
5
Ms. Bharti Kumari
Mathematical Analysis of some Non-Fourier Heat conduction models for thermo-mechanical and Bio-heat transfer problems
Submitted Thesis
On Nov 2017
6
Mr. Shashikant
Investigations on thermo-mechanical coupling effects for homogeneous and non-homogeneous medium
Submitted Thesis
On Jan 2018
7
 
Mr. Anil Kumar
Modelling on Coupled thermo-mechanics for homogeneous and non-homogeneous medium
2013-Continuing
8.
Mr. Om Namha Shivay
 
“Mathematical Modelling”.
2017- Continuing
9.
Ms. Manushi Gupta
“Study on Coupled Thermoelasticity and Visco-Thermoelasticity”.
 
Continuing since 2017
10
Mr. Harendra Kumar
Broad area: Mathematical Modelling & Finite Element method
Continuing since 2017
11
Mr. Robin Singh
Broad Area: Modelling on Thermoelasticity based on thermomass
 
Continuing since 2018

Doctoral Level (PhD): Four (Awarded) + 2 (Submitted Thesis) + Five (continuing).

  1. Mentoring Post-Doctoral Level : 01

  2. Dr. Anirban Lakshman- NPDF post doctoral fellow under SERB , since May 2017.

  3. Dr. D. Ghosh:

S.N.
Name of Student
Thesis Title
Status (Awarded/Submitted/Ongoing)
1
 Abhishek Singh
Convex Games
 Ongoing
2
Ramsurat Chauhan
Interval Optimization
Ongoing
3
Gaurav Kumar
Variational Analysis and Optimization
Ongoing
4
Jauney
Variational Analysis on Function Space
Ongoing