Manoj Solanki

Hi, This is

Manoj Solanki

Researcher @ IITG

FDM | FEM | ML | Python

PhD Research Scholar in Mathematics at IIT Guwahati, specializing in Applied Mathematics, Numerical Methods, and Scientific Computing. My research focuses on developing high-order numerical techniques for ODEs and PDEs using Finite Difference Methods (FDM & CFDM), with implementations in Python and MATLAB. Passionate about scientific computing and mathematics education, I also create educational content on numerical methods through my YouTube channel.

Quick Links

Education Experience Publications Projects Certifications Achievements Study Material

About Me

I'm Ph.D. Scholar at Dept. of Mathematics, Indian Institute of Technology, Guwahati and I have done M.Sc. in Mathematics from National Insitiute of Technology Kurukshetra . My research interests include:

Applied Mathematics

Compact Finite Difference Method

Numerical Methods

Finite Element Methods

Computational Fluid Dynamics

Prior to joining IIT Guwahati as a PhD Research Scholar, I served as an Assistant Professor in the Department of Mathematics at Dayananda Sagar University (DSU), Bengaluru. Overall, I have more than two years of teaching experience at the undergraduate and engineering levels, including one year as an Assistant Professor at DSU. During this time, I taught core mathematics courses, mentored students, and actively contributed to academic and departmental activities.

Functional Expertise

Programming Languages

C Python Matlab

Symbolic Computing

Mathematica Maple

Machine Learning

PIINs

Web Technologies

HTML CSS

Other Tools

LaTex VSDC Photoshop

Recent Highlights

Offered PhD

At Dept. of Mathematics, IIT Guwahati (India)

GATE-2026 Qualified

Gate MA (Mathematics) 2026 Qualified.

KSET-2025 Qualified

In Mathematics, Now eligible for Govt. Assistant Professor positions in Karnataka State.

Assistant Professor Offer

Campus placement at Mathematics Dept. of Dayananda Sagar University (DSU),Bangalore From NIT Kurukshetra

Education

2026 - Ongoing

Ph.D in Mathematics

Indian Institute of Technolgy, Guwahati (India)

Advisor: Prof. Natesan Srinivasan

Ongoing

Coming Soon...

Coming Soon...

Coming Soon...

Coming Soon...

2023 - 2025

Master of Science in Mathematics

National Institute of Technology Kurukshetra

Compact Finite Difference Method to solve Differential Equations. Read More
Solution of Non Linear Partial Differential Equations. Read More
Comparison of Solution of Parabolic PDEs. Read More

Member of Organizing committee for A Five-Day Workshop on Recent Advances in Scientific Computing (RASC) - 2025 by Mathematics Department, NIT Kurukshetra (India) 26th May - 30th May, 2025
Organizer for Diffusion Driven Instability - an Intro "The Art of Diffusion and Nonlinear PDEs" held at NIT Kurukshetra in March 2025 on behalf of Anant The Mathematical Society NIT Kurukshetra.
Organizer for Vedic Inteligance held at NIT Kurukshetra in Feb 2025 on behalf of Anant The Mathematical Society NIT Kurukshetra.
Organizer for The Lost Algorithm held at Techspradha " Annual Tech Fest " at NIT Kurukshetra in Feb 2025 on behalf of Anant The Mathematical Society NIT Kurukshetra.

APM-2025 : Application of Python in Mathematics conducted by Anant. Video Lectures (Dec 24 - Feb 25)

Latex : Introduction conducted by Anant For M.Sc. 1st Student View Slides (07 Nov 2024)

Compact Finite Difference Schemes for PDE - M.Sc. Research Thesis Defence View Slides (July 2025)

Post Script In Latex with Mamta Saini and Anshu View Slides (April 2025)

Solution of Black-Scholes PDE using CFDM - Preparatory Project Work View Slides (Feb 2025)

Pure Matheamtics : Linear Agebra, Abstract Algebra, Real and Complex Analysis, Numebr Theory, Discrete Mathematiscs, Topology, Functional Analysis, etc.
Applied Matheamtics : Differental Equations(ODEs and PDEs), Fluid Dynamics, Numerical Analysis, Differental Geomrety, etc.
Probability and Statistics, Data Analytics
Advanced Computing : Python, Mechine Learning, Matheamtica, LATEX, ect.

Co-Convener of Techspardha’25,Annual Tech Fest.
Office Bearer of Anant The Mathematical Society of NIT Kurukshetra.
Co-Founder of Anant The Mathematical Society of NIT Kurukshetra.
Dholak Player and Host of the events.

2020 - 2023

Bachelor of Science (PCM)

Lachoo Memorial S and T College, Jodhpur

Pure Matheamtics : Linear Algebra, Abstract Algebra, Real and Complex Analysis, Number Theory, Discrete Mathematics, Optimization Technique, etc.
Applied Mathematics: Differental Equations(ODEs and PDEs), Fluid Dynamics, Numerical Analysis, etc.
Advanced Computing : C-Programing for Numerical Methods.

Got 2nd Rank in "MathMania" A Mathematics Quiz as Team Aryabhata.

Teaching

DSU Bangalore
MS MATHS
Online Batches
Vyas Institute
H.A.V.M. School

Assistant Professor - DSU website

July 2025 - July 2026

More Info

Department of Mathematics, School of Engineering, Dayananda Sagar University, Bangalore (India)

Course
- Single and Multi Variable Calculus (Engineering Mathematics) - Click here
- Linear Algebra and Differential Equation (Engineering Mathematics) - Click here

Educator at YouTube Channel - MS MATHS

Dec. 2020 - Currently

More Info

It is my YouTube channel for Higher Mathematics, where I have uploaded 1500+ videos related to:

M.Sc. / M.A. Mathematics
B.Sc. / B.A. / B.Tech. Mathematics
B.Sc. / B.Tech. Physics
Python and C Programming
IIT JAM and CUET-PG Tutorials
IIT JAM PYQ Solutions and Courses, and many more...

Educator for B.Sc. Mathematics - More Info.

Jan 2024 - Dec. 2024

More Info

I have conducted online batches via Google Meet for JNVU and DU students, teaching mathematics with a focus on IIT JAM, CUET-PG, and university-level courses.

Linear Algebra
Group Theory
Ring Theory
Differential Equations

Educator for Secondary Level. -

June 2022 - Dec. 2022

More Info

I taught secondary-level mathematics at Vyas Institute, Jodhpur, helping students build a strong foundation in mathematical concepts and problem-solving.

Educator of Physics for senior Secondary -

june 2021 - Fab 2022

More Info

I taught Class 12th RBSE Physics at HAVM, helping students develop a strong conceptual foundation and problem-solving skills.

Publications

Numerical Solutions of Differential Equations with Programs in Python

Manoj Solanki | Under the guidance of Prof. ASV Ravi Kanth (Mathematics Dept. NIT Kurukshetra.)

Link

Jan 2025

General Maths Book - for Secondary School Level

Manoj Solanki, Karan Kachhawaha

Link

Jan 2021

Coming soon...

Projects

Research Projects

Research projects on numerical methods for differential equations using FDM, CFDM, and FEM—covering nonlinear problems, Black-Scholes PDE, and ADR systems.

View Projects

Academic Projects

A focused project from my M.Sc. coursework, applying Python to solve problems in numerical methods, differential equations, and mathematical modeling.

View Projects