Mathematics Core Groups Computational Fluid Dynamics Mathematical Modelling Discrete Mathematics Functional Analysis and Fast Fourier Transform

 Prof. G.N.Purohit Prof. G.N.Purohit  Dr. Mridula Purohit Dr. Mridula Purohit  Dr. Trilok Mathur Dr. Trilok Mathur  Mr. Om Prakash Mr. Om Prakash  Mr. Shard Pande Mr. Shard Pande

Prof. G.N. Purohit Supervised 13 Ph.D. in  Fluid Dynamics and Heat Transfer,  Functional Analysis and Fast-Fourier Transform  Discrete Mathematics  Operations Research. Currently Supervising: One in Functional Analysis and one in Graph Theory Vision: Since Computing facilities are available it is proposed to build: a strong group in Computational Fluid Dynamics a group on applications of Graph Theory

Work Done  Existence and Unique solution of Partial Differential Equation.  Unsteady heat transfer for flow over a flat plate with suction.  Free convection along a vertical wall.  Unsteady thermal boundary layers on a porous plate in a rotating system.  MHD Heat transfer due to flow between two rotating porous discs.  Weak and strong solutions of the Navier-Stokes initial value problem.  The Study of Semi – Groups for Vector Valued Functions.  A Basic Proof of Prime Number Theorem with a Remainder Term.  Queueing Theory Models in Machining System with Interruptions Future Plan: Graph Colouring for optimum frequency distribution of frequencies in Communication Networks. BACK

Dr. Mridula Purohit Doctoral Work on: Generalised Hypergeometric function, Fractional Calculus and their applications in diversified fields. Presently Working: FRACTIONAL CALCULAS AND ITS APPLICATION, funded by Banasthali Vidyapith. Future Plans: To work on Fast Fourier Transform. BACK

Dr. Trilok Mathur Doctoral Work on: A study of certain properties of generalized special functions and general classes of polynomials with applications. Work Done: Studied the proprieties of Fractional Diffusion Equations, define and studied 2-dimensional Fractional Calculus operator and Bi-complex special functions. Future Plans: To carry out research work in  Applications of Fractional Diffusion Equations.  Properties of bi-complex special functions BACK

Mr. Shared C. Pandey  Presently Working: A Study of integral Operator, Fractional Integral and Transcedental Functions.  Future Plans:  Critical review on spaces  To Establish relation between images and originals.  To find certain properties of spaces F p,μ BACK

Mr. Om Prakash  Presently Working : Decomposability of certain Ore Extension.  Future Plans: To carry out research work in  weak -regularity of rings and its ideals.  Krull dimension of Modules over Involution Rings. BACK

Computational Fluid Dynamics  Prof. G.N. Purohit  Mrs. Amla Olkha  Mr. Pravin Garg

Mrs. Amla Olkha  Presently Working : Some problems on non-newtonian flow and Heat Transfer in presence of permeable boundary  Future Plans: To work on the area of Integral Transform

Mr. Pravin Garg  Presently Working : Boundary Layer Theory  Future Plans: Laminar Boundary Layer in Permeable Wall.

Mathematical Modelling  Dr. Rekha Rani  Dr. Rakhee  Dr. Seema Verma  Mr. C.K. Jha

Performance Analysis Communication Systems Computer NetworksTurbo Codes Manufacturing Systems Mathematical Modelling

Dr. Seema Verma Doctoral Work on: Performance Evaluation of TURBO CODES Work Done: Performance Evaluation of TURBO CODES with reference to medium of transmission as parameter. The realistic channels have been mathematically modeled and simulated in MATLAB. Future Plans: To carry out research work in  VLSI Implementation of TURBO DECODERS  Optimal Error Control Codes for 4G Mobile Communication Research Project: Performance Evaluation of Turbo Codes ( ) sponsored by All India Council for Technical Education, New Delhi BACK

Dr. Rakhee Doctoral Work on : Delay Analysis of Integrated Traffic Models in Communication Systems Work Done: Performance Analysis of Integrated Traffic Models in Communication Systems using Queuing Theory. Future Plans: To carry out research work in  Performance analysis of MC-CDMA networks to reduce Blocking Probability.  Speech Recognition using Hidden Markov Models BACK

Dr. Rekha Rani Doctoral Work on: Queueing Theory Models in Machining System with Interruptions. Work Done: Performance Analysis of Manufacturing Systems. Future Plans: To simulate some queueing models to obtain optimal number of servers under different operating conditions. BACK

Mr. C.K. Jha Presently Working: Performance Analysis Of Overlay Networking Device using mathematical simulation method with the help of Queuing Model. Future Plan: Performance testing in measuring the efficiency of devices in the network. The metrics are defined by RFC 1242.

Research Scholars  Ms. Seema Saxena “Graph Colouring for optimum frequency distribution of frequencies in Communication Networks”. (Under Prof. G. N. Purohit)  Ms. Samradhi Gargie, “Optimal Error Control Codes for 4G Mobile Communication”. (Under Prof. Rekha Govil)  Ms. Shalley Gupta, “Some Queueing Models For Prediction And Evaluation Of Performance of Communication Networks”. (Dr. Rakhee)