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Chet Raj Bhatta Greetings from Central Department of Mathematics, TU! I feel privileged to welcome you to the website of the Central Department of Mathematics. It is my great pleasure to have an opportunity to serve the department, faculties, staffs, and students as the head of the department (2024-2028), and I simultaneously crave the assistance and devotion of all the faculties, staffs, and students for the overall achievement and success of the department. The Central Department of Mat...
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PhD Program
1. Dr. S.N. Suvani (1972)
Supervisor: B.S. Chaudhary
Topic: Some problems on hydro-magnetic boundary layer in the presence of transverse magnetic field

2. Dr. Hari Bhakta Shrestha 
Supervisor: Prof.  Rameshwor Prakash Manandhar 

3. Dr. Bhanu Chandra Bajracharya 
Supervisor: Prof.  Rameshwor Prakash Manandhar

4. Dr. Bina Ranjan Ghimire (19/02/1990)
Title: Mathematical Modelling of the surface layer with some potential applications with special reference to Nepal.

5. Dr. Gajendra Bd. Thapa (10/03/1991)
Supervisor: Prof.  Ram Man Shrestha; Co-supervisor: Prof. Stephan Ruscheweyh (Wurzburg University, Germany)
Title: John constant for polynomials.

6. Dr. Santi Bajracharya (24/02/1995)
Supervisor: Prof.  Ram Man Shrestha
Topic: Analytical and group theoretic study of some special functions.

7. Dr. Chinta Mani Pokharel (16/02/2005)
Supervisor: Prof.  Gajendra Bd. Thapa; Co-supervisor: Prof. Stephan Ruscheweyh (Wurzburg University, Germany)
Topic: Convexity preservation for analytic harmonic and plane curves.

8. Dr. Kamal Mani Baral (25/07/2006) 
Supervisor: Prof. Dr. Shankar Raj Pant, Co-cupervisor: Prof. Dr. S.K. Mishra
Topic: A study on function space and related topics.

9. Dr. Shree Ram Khadka (Optimization, 27/01/2012
Supervisor: Prof.  Tanka Nath Dhamala
Topic: Mixed-Model Just-in-Time Sequencing Problem  (January 27, 2012)

10. Prof. Dr. Gyan Bahadur Thapa (Optimization 27/12/2012) 
Supervisor: Prof.  Tanka Nath Dhamala; Co-supervisor: Prof.  Shankar Raj Pant
Topic: Characterizations of Just-in Time Sequencing Problems with Apportionment and Supply Chain (December 27, 2012)

11. Dr. Urmila Pyakurel (Optimization, 04/03/2016)
Supervisor: Prof.  Tanka Nath Dhamala
Topic: Evacuation Planning Problem with Contraflow Approach (March 4, 2016)

12. Dr. Jivandhar Jnawali (Numerical Analysis, 18/03/2018) 
Supervisor: Prof.  Chet Raj Bhatta; Co-supervisor: Prof. Pankaj Jain (South Asian University, India)
Topic: Newton Type Iterative Methods for Solving Nonlinear Equations 
13. Dr. Buddhi Prasad Sapkota (Partial Differential Equations, 27/11/2019) 
Supervisor:  Prof.  Kedar Nath Uprety; Co-supervisor: Prof.  Harihar Khanal (Embry-Riddle Aeronautical University, USA)
Topic: Numerical Modeling of Indoor Air Pollution Distribution in A Biomass Kitchen in Nepal

14. Dr. Gajaram  Damai (Analysis, 04/10/2020) 
Supervisor:   Prof.  Prakash Muni Bajracharya
Topic: Nearest Points and Proximity
15. Dr. Bishnu Hari Subedi (Complex Dynamics, 11/01/2021) 
Supevisor: Dr. Ajaya Singh; Co-supervisor: Prof.  Prakash Muni Bajracharya
Topic: Structure and Properties of Fatou, Julia, Escaping and Fast Escaping Sets of Holomorphic Semigroups
16. Dr. Iswar Mani Adhikary (Optimization, 19/03/2021)
Supervisor: Prof.  Tanka Nath Dhamala
Topic: Evacuation Optimization with Minimum Clearance Time
17. Dr. Ram Chandra Dhungana (Optimization, 23/03/2021)
Supervisor: Prof.  Tanka Nath Dhamala
Topic: Efficient Dynamic Flow Algorithms for Evacuation Planning

18. Dr. Phanindra Prasad Bhandari (Optimization, 05/04/2021)
Supervisor: Dr. Shree Ram Khadka, Co-supervisor: Prof.  Stefan Ruzika
Topic:Maximum Dynamic Contraflow Evacuation Planning Problem
19. Dr. Hari Nandan Nath (Optimization, 29/07/2021)
Supervisor: Prof. Tanka Nath Dhamala; Co-supervisor: Prof. Stephan Dempe ((TU bergakademie Freiberg, Germany)
Topic: Models and Algorithms for Evacuation Planning

20. Mr. Bhuwan Prasad Ojha (Functional Analysis, 24/04/2022)
Supervisor: Prof. Prakash Muni Bajracharya
Topic: Orthogonality in Normed Linear Spaces

21. Mr. Ramesh Chandra Timsina  (Partial Differential Equations, 6/11/2022)  
Supervisor:  Prof.   Kedar Nath Uprety; Co-supervisor Prof.  Harihar Khanal (
Embry-Riddle Aeronautical University, USA)
Topic: Transport and Growth of Microbes in Unsaturated Porous Medium (Soil)

22. Mr. Shiva Prakash Gupta (Optimization, 21/04/2023)
Supervisor: Prof.  Tanka Nath Dhamala; Co-supervisor: Dr. Urmila Pyakurel
Models and Algorithms for Flow Over Time Problems

23. Mr. Pawan Shrestha (Partial Differential Equations, 11/06/2023)
Supervisor   Dr. Durga Jang KC; Co-supervisor: Dr. Ramjee Sharma 
(University of North Georgia, USA)
Topic: Regularity of 2D Surface Quasi Geostrophic Equations

24. Ms. Kabita Luitel (Differential Equations, 14/06/2023)
Supervisor:  Prof.   Kedar Nath Uprety; Co-supervisors: Prof.  Dil Bahadur Gurung (Kathmandu University), Prof. Harihar Khanal (
Embry-Riddle Aeronautical University, USA)
Topic:   Mathematical Model for Heat Transfer in Human Body

25. Mr. Jhavi Lal Ghimire (Analysis, 26/06/2023)
Supervisor: Prof. Narayan Prasad Pahari 
Topic: A Study of Topological Structures of Linear Spaces of Generalized Sequences

Currently, 25 PhD scholars are conducting their research in the fields of optimization, differential equations, mathematical and functional analysis and dynamical systems. The list is as follows:
Mrs. Anjana Pokahrel 
Supervisor: Prof.  Kedar Nath Uprety; Co-supervisor: Dr. Naveen Vaidya (San Diego State University, USA)
Topic: Dynamics of Transmission and Control of Measles

Mr. Ramesh Gautam 
Supervisor: Prof.  Kedar Nath Uprety; Co-supervisor: Dr. Naveen Vaidya (San Diego State University, USA)

Mr. Khagendra Adhikari
Supervisor: Prof.  Kedar Nath Uprety; Co-supervisor: Dr. Naveen Vaidya (San Diego State University, USA)

Mr. Gyan Prasad Paudel

Supervisor: Prof.  Narayan Prasad Pahari 
Topic: A study of fuzzy logic and fuzzy sequence with their applications to the real world

Mr. Pitambar Tiwari
Supervisor: Prof.  Chet Raj Bhatta; Co-supervisor: Prof.  Pankaj Jain (South Asian University, India)

Topic: Quantum Calculus: New Development and Applications 

Mr. Jagat Krishna Pokhrel  

Supervisor: Prof. Narayan Prasad Pahari

Mr. Durga Prasad Khanal (Optimization)

Supervisor: Dr. Urmila Pyakurel; Co-supervisor: Prof.  Tanka Nath Dhamala, Co-supervisor: Prof. Stephan Dempe (TU bergakademie Freiberg, Germany) 
Multi-Commodity Dynamic Flow Problems with Intermediate Storage and Varying Transit Times

Mr. Badri Prasad Pangeni (Optimization)

Supervisor: Prof.  Tanka Nath Dhamala 
Topic: Continuous Dynamic Flow Problems with Intermediate Storage

Mr. Mohan Chandra Adhikari (Optimization)
Dr. Urmila Pyakurel;  Co-supervisor: Prof.  Tanka Nath Dhamala  
Topic: Discrete Time Dynamic Flow Problems with Intermediate Storage 

Mr. Bekha Ratna Dangol (Differential Equations)
Supervisor: Dr. Jeevan Kafle; Co-supervisor: Dr. Parameshwari Kattel
Interaction of Different Geophysical Mass Flows with Fluid Reservoirs: Dynamics of Submarine Mass and Fluid Waves

Mr. Chetnath Tiwari (Differential Equations)
Supervisor: Dr. Parameshwari Kattel; Co-supervisor: Dr. Jeevan Kafle
Topic: Modeling Multiphase Debris Flows and Floods Down a Meandering Channel: Dynamics and Obstacle-Interactions with Different Sinuosities and Curvatures

Mr.  Tek Bahadur Budhathoki 
Supervisor: Dr. Pushkar Raj Pokhrel; Co-supervisor:
Coupling of Two Dimensional and Depth-averaged models for Mixture Mass Flows

Chudamani Pokharel (Analysis)
Supervisor: Prof. Chet raj Bhatta; Co-supervisor: Dr. Debendra Banjade (Coastal Carolina University, USA)
Topic: Wolff Ideal Theorem On Besop types Spaces and Their Multiplier in Algebra 

Mr. Bishwa Adhikari (optimization)
Prof.  Tanka Nath Dhamala; Co-supervisor: Dr. Urmila Pyakurel 
Topic:Multicriteria Optimization Models and Methods with its Applications 

Mr. Dipakbabu Amgain (Optimization)
Prof.  Tanka Nath Dhamala; Co-supervisor: Dr. Urmila Pyakurel 
Topic: Location Routing-Scheduling Problems in Logistics Network

Mr. Sachin Wagle (Optimization)
Dr. Urmila Pyakurel; Co-supervisor:  Prof.  Tanka Nath Dhamala
Topic: Facility Location Models and methods for Transportation Optimization 

Mr. Pushpa Nidhi Gautam (Differential Equations)
Supervisor: Dr. Jeevan Jafle; Co-supervisors: Dr. Ganga Ram Phaijoo, Dr.  Parameshwari Kattel.
Modeling Two-Phase Blood Flow Dynamics Through Artery along with Stenosis

Mr. Jaydev Nath (Analysis)
Supervisor: Prof. Chet Raj  Bhatta; Co-supervisor: Dr. Ishwari Jang Kunwar (Fort Valley State University, Georgia, USA)
Topic: Compactness of Multilinear Dyadic Operators in the Weighted setting

Mr. Bal Bahadur Tamang (Complex Analysis)
Supervisor: Dr. Ajay Singh
Topic: Unsolvability of  quadrate Diophantine equation