Department of Engineering Mathematics
Department of Engineering Mathematics
Lakshmi Narain College of Technology, Bhopal
The department of Mathematics, one of the vibrant department of the institution, established in the year 1994. Department functions as a service agency providing support to UG & PG departments and lays a sound foundation for learning engineering & technical subjects. The aim of department is to inculcate analytical skills in mathematical sciences so as to enable the students to apply and formulate in solution making approaches of their technical subjects. Definitely the learning of mathematics will enhance and widen the mathematical aptitude, analytical skills, logical reasoning and systematic thinking of the students.
Head of Department
| College Name | Name |
|---|---|
| LNCT | Dr. RAJESH KUMAR SAKALE |
DETAILS OF RESEARCH WORK
The department is growing with adequate qualified faculty members. Department gave high priority to quality research and education. All faculty members are PhD’s and having Publications in National and International Journals, with regular updating with research and innovations. The faculty members are participating in National & International level Workshop/Seminars/Conferences in the country and abroad. The research pursued in the Department of Mathematics includes a fairly wide spectrum of interests in Mathematical sciences in Pure and Applied Mathematics like:
- Special Function
- Bio-mathematics
- Optimization Techniques
- Fixed point theory
- Fuzzy metric space
FACULTY ACHIEVEMENTS, EVENTS AND ACTIVITIES
Faculty Profile
| Full Name | Dr.Vandana Pandey |
| Phd. With Sub/Topic | Applied Mathematics |
| Specialization | Biomathematics |
| Brief Write-Up About Your Research Work | A study of magneto hydrodynamics in fluid flow |
| No. Of Research Paper Published National /International | 06/National |
| Patents | 3 |
| Full name | Dr. Akanksha Mishra |
| Ph.d. With Sub/topic | Applied Maths / Bifurcation and chaos in food web |
| Specialization | Biomathematics |
Brief write-up about your research work | My research area is Mathematical biology and I have done my research work bifurcation and chaos in food web ,Modelling simulation, uses of different types of mathematical tools like Matlab , latex, Mathematica and so on. |
No. of research paper published national /international | • National -10 • International – 05 • Scopus – 01 |
| Patents | 01 (Published) |
| Achievements other than above | 1. Degree in classical dance 2.CSIR-NET Qualified (2009) |
| Award/ Project | 1. Second topper in M. Phil
2. Won second prize in National conference of best paper presentation. |
| Full name | DR. MADHU SINGH |
| PhD With Sub/topic | Mathematics / Fixed Point Theorems using Iterative Techniques in abstract spaces |
| Specialization | Non Linear Functional Analysis |
| Brief write-up about your research work | Fixed point theorems are also used in new areas of mathematics applications like Random differential equations, Mathematical Economics, Eigen value problems, Game Theory etc. |
| No. of research paper published national /international | International – 4 |
| Achievements other than above | One paper in Scopus Index |
| Full Name : Dr. Roshani Singh | Name of Faculty |
| Phd. With Sub/Topic | A Study of Efros Theorem and Generalized Hypergeometric Function |
| Specialization | Special Function, Laplace Transform |
| Brief Write-Up About Research Work | Research focuses on the study of special functions and Laplace transforms and their analytical properties. It includes the development and application of Gamma, Beta, Bessel, Legendre, and related special functions. Laplace transform techniques are explored for obtaining analytical solutions of ordinary and partial differential equations. The research also addresses transform methods for integral equations, mathematical modelling, and boundary-value problems. Emphasis is placed on deriving new identities, generalized transforms, and computational approaches. These methods have potential applications in mathematical physics, engineering, and applied mathematics. |
| No. Of Research Paper Published National /International | 4 (National)/11 (International) |
| Patents | 5 |
| Total Work Experience | 18 |
| Full name | Dr. Rupali Verma |
| PhD With Sub/topic | Subject- Mathematics, Topic- A study of some fixed point theorems in various spaces |
| Specialization | Fixed point |
| Brief write-up about research work | The research work entitled “A study of some fixed point theorems in various spaces” is structured into seven overall results, relying on the diversity of the content matter. A number of known theorems and results have been generalized to find out some results by reducing or improving the conditions which might be helpful in the solution of the different problems of mathematics. |
| No. of research paper published national /international | Number of Papers- 09 |
| No. of books published | 1.“BIOSTATISTICS AND RESEARCH METHODOLOGY” FOR PY 8 SEM Published by – Rock Pigeon Publication, Gwalior, ISBN NO: 978-93-87507-19-7. |
| Patents | 01 |
| Full name | Dr. Surendra Kumar Shrivastava |
| PhD With Sub/topic | Subject- Mathematics, Topic- A study of Fourier Series involving Polynomial function. |
| Specialization | Theory of Generalized Function. |
| Brief write-up about your research work | The focus of the research work is to introduce the special set of Fourier series equation like as source of the dual Fourier series equations, Triple Fourier series equations of First kind, Triple Fourier series equations of second kind etc. Fourier series equations have been extensively used for solving mixed boundary value problem of electrostatics, elasticity, diffraction theory and fluid mechanics. Particularly these equations are very useful in finding the solution of crack problem of elasticity. |
| No. of research paper published national /international | Number of Papers- 09 |
| Patents | 1 |
| Award/ Project | • National Eminent Educator Award 2020 by I2OR. • Best Teacher Award by Dr. MPS Group of Institutions Agra at National Conference held on 24th Feb. 2019 at Agra. • Best teacher award in conference organized by Jayoti Vidyapeeth women’s university jaipur Rajasthan (2018). |
| Full name | Dr. Rupali Gupta |
| Phd. With Sub/topic | Numerical Simulation of some Variable-order Fractional Differential Equations using Chebyshev Collocation Method |
| Specialization | Applied Mathematics |
| Brief write-up about your research work | The prime focus of this thesis is to provide an understanding of the Chebyshev collocation method and related analysis for solving the time, space, or time-space fractional differential equations with constant and variable order. |
| No. of research paper published national /international | 5 |
| No. of books published | 1 |
| Foreign visits | 1 |
| Total work experience | 3 |
| Full Name of Faculty | Dr. Pratima Ojha |
| Phd. With Sub/topic | Cosmology |
| Specialization | Mathematics |
| Brief write-up about research work | Mathematical study in cosmology model with acceralation expansion |
| No. of research paper published national /international | 5 |
| patents | 1 |
| Total work experience | 18 |
Full Name Dr. Tarun Kumar Deshmukh
| Phd. With Sub/topic | “Some New Sets In Topological Spaces and Their Properties” |
| Specialization | Topology |
| Brief write-up about your research work | The research entitled “Some New Sets In Topological Spaces And Their Properties”. We have many topological spaces for example, discrete topological space, indiscrete topological space, usual topological space, bitopological space, fine topological space, fine-bitopological space etc. Fine-bitopological space is the generalized topological space, which is the combination of fine topological space and bitopological space. The research work has been completed in seven chapters. The objectives of the research study are as: 1) To define new generalized sets on Fine-Bitopological Spaces and study on some of its toplogical properties. 2) To define continuity on Fine-Bitopological Spaces, called it Fine-Bi-Continuity. 3) To define Irresolute Mapping on Fine-Bitopological Spaces, called it Fine-Bi-Irresolute Quotient Mapping. 4) To define Hausdroff space on Fine-Bitopological Spaces, called it Fine-Bi-Hausdorff Space. |
| No. of research paper published national /international | 04 (National) and 01 (International) |
| No. of books published | 01 |
| patents | Nil |
| Foreign visits | Nil |
| Achievements other than above | MPPSC SET EXAM-2022 QUALIFIED IN MATHEMATICAL SCIENCES |
| Total work experience | 4 YEARS |
| Award/ Project | Nil |
| Full Name | Dr. Ram Jeevan | Photo not available in source PDF |
| Phd. With Sub/topic | Applicable Aspects of Metrical Fixed Point Results in Decision making and Nonlinear Problems |
| Specialization | Fixed Point Theory and It’s Applications |
| Brief write-up about your research work | My research focuses on the applicable aspects of Metrical Fixed Point Theory in Decision Making and Nonlinear Problems, with emphasis on fixed-point results, contraction mappings, iterative methods, convergence, stability, and their applications in nonlinear analysis, fractals, modeling, and intelligent decision-support systems. |
| No. of research paper published national /international | 2 |
| No. of books published | Nil |
| patents | Nil |
| Foreign visits | Nil |
| Achievements other than above | Nil |
| Total work experience | 11 Months |
| Award/ Project | Nil |
| Full Name | Prof. Ritu Malviya | Photo not available in source PDF |
| Phd. With Sub/topic | Pursuing statistical Infrences |
| Specialization | Statistics |
| Brief write-up about your research work | Nil |
| No. of research paper published national /international | 01 |
| No. of books published | Nil |
| patents | 1 |
| Foreign visits | Nil |
| Achievements other than above | Nil |
| Total work experience | 4 year |
| Award/ Project | Nil |
| Full Name | Prof. Neha Swarnkar | Photo not available in source PDF |
| Phd. With Sub/topic | Nil |
| Specialization | Nil |
| Brief write-up about your research work | Nil |
| No. of research paper published national /international | 2 |
| No. of books published | Nil |
| patents | nil |
| Foreign visits | Nil |
| Achievements other than above | Nil |
| Total work experience | 13 year |
| Award/ Project | Nil |
| Full Name | Prof Roopkishori Sharma | Photo not available in source PDF |
| Phd. Wit | Bio Mathematics |
| Specialization | Differential equation |
| Brief write-up about your research work | Mathematical and Computational Analysis of arterial blood flow through stenosed artery |
| No. of research paper published national /international | 01/national |
| No. of books published | Nil |
| patents | 1 |
| Foreign visits | Nil |
| Achievements other than above | Nil |
| Total work experience | 5yr |
| Award/ Project | Nil |
| Full Name | Dr. Neelu Sharma | Photo not available in source PDF |
| Phd. With Sub/topic | Some fixed point theorems in Banach Space |
| Specialization | Fixed Point |
| Brief write-up about your research work | My research in Fixed Point Theory in Cone Banach Spaces resulted in 5 publications. The work focuses on proving common fixed point theorems for various contraction mappings by employing CLR property and EA property, and establishing convergence results with applications to nonlinear integral equations. |
| No. of research paper published national /international | 5 |
| No. of books published | Nil |
| patents | Nil |
| Foreign visits | Nil |
| Achievements other than above | Nil |
| Total work experience | 12 |
| Award/ Project | Nil |
| Full Name | Prof Reena Dhakad | Photo not available in source PDF |
| Phd. With Sub/topic | Nil |
| Specialization | Nil |
| Brief write-up about your research work | Nil |
| No. of research paper published national /international | Nil |
| No. of books published | Nil |
| patents | 1 |
| Foreign visits | Nil |
| Achievements other than above | Nil |
| Total work experience | 2 |
| Award/ Project | Nil |
| Full Name | Prof. Sandeep Devgade | Photo not available in source PDF |
| Phd. With Sub/topic | Nil |
| Specialization | Nil |
| Brief write-up about your research work | Nil |
| No. of research paper published national /international | Nil |
| No. of books published | Nil |
| patents | 1 |
| Foreign visits | Nil |
| Achievements other than above | Nil |
| Total work experience | 3 year 4 month |
| Award/ Project | Nil |
| Full Name | Prof. Ritu Rai | Photo not available in source PDF |
| Phd. With Sub/topic | Pursuing New Approch for the Approximation of solutions to a common fixed-point problems. |
| Specialization | Pure mathematics |
| Brief write-up about your research work | Nil |
| No. of research paper published national /international | Nil |
| No. of books published | Nil |
| patents | 1 |
| Foreign visits | Nil |
| Achievements other than above | Nil |
| Total work experience | 3 year |
| Award/ Project | Nil |
| Full Name | Prof. Sheela Verma | Photo not available in source PDF |
| Phd. With Sub/topic | summability of fourieFourier series |
| Specialization | Product summabilty |
| Brief write-up about your research work | assign generalized limits or sums to Fourier series that fail to converge in the traditional pointwise sense. |
| No. of research paper published national/ international | 8 |
| No. of books published | 1 |
| patents | 1 |
| Foreign visits | No |
| Achievements other than above | No |
| Total work experience | 14 |
| Award/ Project | No |