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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
Topic:

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

4. Dr. Bina Ranjan Ghimire (19/02/1990)
Supervisor:
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. Dr.. Bhuwan Prasad Ojha (Functional Analysis, 24/04/2022)
Supervisor: Prof. Prakash Muni Bajracharya
Topic: Orthogonality in Normed Linear Spaces

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

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

26. Dr. 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

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

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

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

30. Dr. Pitambar Tiwari
Supervisor: Prof. Chet Raj Bhatta; Co-supervisor: Prof. Pankaj Jain (South Asian University, India)
Topic: Quantum Calculus: New Development and Applications

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

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

33. Dr. Badri Prasad Pangeni (Optimization)
Supervisor: Prof. Tanka Nath Dhamala
Topic: Continuous Dynamic Flow Problems with Intermediate Storage

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

Currently, 36 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:

Mr. Jagat Krishna Pokhrel
Supervisor: Prof. Narayan Prasad Pahari

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

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:
Topic: Coupling of Two Dimensional and Depth-averaged models for Mixture Mass Flows

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

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

Mr. Sachin Wagle (Optimization)
Supervisor: 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.
Topic: 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. Shankar pariyar
Supervisor: Dr. Jeevan Kafle; Co-supervisor:Dr. Bishnu Lamichhane
Topic: A Fractional Calculus Model for Anamalous Diffusion in the Atmosphere

Mr. Dilip Kumar Shah
Supervisor: Dr. Ajay Kumar Chaudhary; Co-supervisor:Prof.Dr. Chet Raj Bhatta
Topic: A Study on the Existance of Common Fixed Points in b-metric Space and in b-menger Probabilistic Space

Mr. Uday Kumar karna
Supervisor: Prof.Dr. Chet Raj Bhatta; Co-supervisor:Dr. Ajay Kumar Chaudhary
Topic: Some Common Fixed Point Theoremes in metric and Probabilistic Metric Spaces

Mr. Ganga Ram D.C.
Supervisor: Prof.Dr. Jivandhar Jnawali; Co-supervisors:Prof.Dr. Kedar Nath Uprety; Prof.Dr. Naveen Vaidya
Topic: Mathematical Modeling and Machine Learning for Spital Dynamics of Infections Diseases

Mr. Prajwal Bir kansakar
Supervisor: Dr. Bishnu Hari Subedi; Co-supervisor:Prof.Dr. Ajay Singh
Topic: Dynamics of holomorphic Functions and Their Composition

Mr. Dal Bahadur Saud
Supervisor: Dr. Bishnu Hari Subedi; Co-supervisor:Prof.Dr. Ajay Singh
Topic: Dynamics of Almost Abelian Holomorphic Semi-Groups

Mr. Giri Raj paneru
Supervisor: Dr. Hari Nandan Nath; Co-supervisor:Prof.Dr. Tanka Nath Dhamala
Topic: Network Flow with Variable Capacities: Modeling Algorithms and Application

Mr. Eeshwar Prasad poudel
Supervisor: Dr. Shree Ram Khadaka; Co-supervisor:Dr. Jeevan Kafle
Topic:Two Layer Dispersion of Air Pollutants: Optional Measure & Control

Mr. Ananta Upreti
Supervisor: Prof.Dr. Jivandhar Jnawali; Co-supervisors:Prof.Dr. Kedar Nath Uprety; Prof.Dr. Naveen Vaidya
Topic: Modeling of Transmission Dynamics of Dengue Infection and Control Measures in Nepal

Mr. Anup Tuladhar
Supervisor: Prof.Dr. Jivandhar Jnawali; Co-supervisors:Prof.Dr. Kedar Nath Uprety; Prof.Dr. Naveen Vaidya
Topic: Modeling the Co-Infection Dynamics of Infectious Diseases

Mr. Resham Prasad Poudel
Supervisor: Prof.Dr. Narayan Prasad Pahari Co-supervisors: Prof.Dr. Arjun Kumar Rathi; Dr. Jhavi Lal Ghimire
Topic: A Study of generalized Sequences Summability and Hypergeometric Functions

Mr. Ganesh Bahadur Basnet
Supervisor: Prof.Dr. Narayan Prasad Pahari; Co-supervisor: Prof.Dr. Arjun Kumar Rathi
Topic: A Study of Vector Valued Sequence Spaces and Hypergeometric Series with Applications

Mr. Purushottam Parajuli
Supervisor: Prof.Dr. Narayan Prasad Pahari; Co-supervisor Prof.Dr Binod Chandra Tripathi/ Dr.Jhavi Lal Ghimire
Topic: A study of generalized sequence space and extension to double sequences of Bi-complex number

Mr. Molhu Prasad Jaiswal
Supervisor: Prof.Dr. Narayan Prasad Pahari; Co-supervisor Prof. Dr. Binod Chandra Tripathy Prof.Dr.Chet Raj Bhatta
Topic: A study of vector-valued sequences space and extension to Bi-complex number

Mr. Dhirendra Kumar Yadav
Supervisor: Assoc. Prof. Dr.Sushil Chandra Karn
Topic: Modeling and analysis of inextensible satellite systems under earth's oblateness and geomagnetic influences

Mr. Rajendra Paudyal
Supervisor: Assoc. Prof. Dr.Shree Ram Khadka; Co-supervisor Assoc. Prof.Dr.Phanindra Prasad Bhandari
Topic: Continuous time extension on lexicographic network flow problem

Mr. Narayan Prasad Adhikari
Supervisor: Assoc. Prof. Dr.Shree Ram Khadka; Co-supervisor Assoc. Prof.Dr.Phanindra Prasad Bhandari
Topic: Evacuation planning problem: Port- hamiltonian flow approach

Mr. Nilam Kharel
Supervisor: Dr. Khagendra Adhikari; Co-supervisor
Prof.Dr.Naveen K. Vaidya
Topic: Mathematical modeling of infectious deseases in evolving contact networks

Mr. Yagya Raj Panta
Supervisor: Dr. Khagendra Adhikari; Co-supervisor Prof.Dr.Naveen K. Vaidya
Topic: Mathematical modeling of vector- borne diseases with vector movement and adaptability in non- endemic regions

Mr. Raman Kumar Karn
Assoc. Prof. Dr.Sushil Chandra Karn
Topic: Stability analysis of combined effect of Air resistance and earth's magnetic force of the system

Mr. Arun Kumar Bhandari
Supervisor: Assoc. Prof. Dr. Ramesh Chandra Timsina ; Co-supervisor Prof .Dr. Kedar Nath Uprety/Prof .Dr. Harihar Khanal
Topic: Mathematical modeling of phytoremediation

Mr. Baladev Adhikari
Supervisor: Assoc. Prof. Dr. Ramesh Chandra Timsina ; Co-supervisor Prof .Dr. Kedar Nath Uprety/Prof .Dr. Harihar Khanal
Topic: Mathematical modeling of landslide hazards in the Nepal Himalayan

Mr. Nar Bahadur Chand
Supervisor: Dr.Jhavi Lal Ghimire; Co-supervisor Prof.Dr.Narayan Prasad Pahari/Prof. Dr. Binod Chandra Tripathy
Topic: A study on convergence related to absolutely summable sequences.