Department Of Mathematics - GPGC, Mansehra

We are proud to share that Muhammad Asaad, a student of the Department of Mathematics, Government College Mansehra , along with faculty members Muhammad Israr, Muhammad Asif, and Dr. Assad Ayub, has successfully published a research article in the prestigious international journal Chaos, Solitons & Fractals (Q1, Impact Factor: 5.6).

Title: "Revolutionizing fluid flow with Lyapunov exponents and PDFP optimizer based Physics-Informed Neural Networks for microrotation and peristaltic transport"

This achievement highlights the department’s growing contribution to advanced research in applied mathematics, nonlinear dynamics, and scientific machine learning.

👏 Congratulations to the entire team on this remarkable accomplishment!

🌍 A Small Story About a Big Problem…

For a long time, scientists believed they had everything under control. Using classical calculus, they could describe motion, heat, waves—almost everything.

But then… reality started misbehaving.

A material would remember its past.
A signal would change based on its history, not just the present.
Particles refused to follow normal diffusion—they moved in strange, unexpected ways.

Engineers got confused.
Physicists got stuck.
Even mathematicians had to admit… something was missing.

💡 Then came a different idea.

“What if change is not always whole? What if it can be… fractional?”

And that’s where fractional derivatives entered the story.

Instead of only 1st, 2nd, or 3rd derivatives, we could now use 0.5, 1.3, or even -0.7 order derivatives.

Suddenly…

✔ Systems with memory started making sense
✔ Complex materials behaved exactly as predicted
✔ Strange diffusion patterns became understandable

🌍 And the real magic? It works in real life.

• In medicine, it helps model how drugs spread in the body
• In engineering, it explains how materials stretch and relax
• In finance, it improves prediction of market behavior
• In physics, it captures complex natural phenomena

✨ Today, we realize something powerful:

Not everything in life changes in whole steps.
Sometimes, the truth lies in between.

And that’s why the future of science is not just calculus…
it’s fractional calculus.

🎉 Proud Moment for the Department of Mathematics, Government College Mansehra 🎉

We are delighted to share that our talented students Miss Neha Zaman and Mr Faizan Arshid have successfully published their first research article in an international journal 🏆📖

The paper titled:
“PDFP-enhanced physics-informed neural networks for solving higher-order PDEs: Application to engineering beam problems”
has been published in Mechanical Engineering Advances (2026).

👏 We extend our heartfelt congratulations to them on this remarkable achievement. Publishing at such a level reflects their dedication, hard work, and strong research capabilities.

💐 Special congratulations also to the co-authors:
Dr Shahbaz Ahmad, Mr Muhammad Asif, Mr Muhammad Qasim, Mr Aaqib Hussain Shah, Miss Anam Shahzad, and Mr Muhammad Israr for their valuable contributions to this research work.

This accomplishment brings great pride to our department and serves as an inspiration for all students to pursue research excellence.

🌟 Keep shining and achieving greater heights!

📢 Proud Moment for the Department of Mathematics, Government College Mansehra !🎉

The Department of Mathematics is delighted to share that our esteemed faculty members have successfully published a research article in the prestigious Journal of Chemical Information and Modeling (American Chemical Society), a Top Q1 journal with an impact factor of 5.3.

This remarkable achievement highlights the department’s growing contribution to interdisciplinary research, combining mathematics, computational modeling, and chemical sciences.

👏 Heartiest Congratulations to:

Lecturer Muhammad Asif
Lecturer Muhammad Kaleem
Lecturer Muhammad Israr

We also proudly acknowledge the contributions of:

Adeel Hussain Shah (Alumni of the Department)
Muhammad Siraj (Alumni of the Department)
Mubarak Zaman (Student, Department of Chemistry)

Your dedication, collaboration, and hard work have brought great honor to the institution. This accomplishment reflects academic excellence and sets a strong example for our students and research community.

🌟 We wish you all continued success in your future research endeavors!

Applications are open to both local and international students with a strong academic background. The program is highly competitive and typically admits students within the top 5%, although we recognize that grades do not always fully reflect mathematical talent or potential. Candidates interested in pursuing a European-standard MSc in Fundamental Mathematics, taught by a team of two international and one local professor, are encouraged to apply.

You can follow the link to the application form here : https://linktr.ee/InternationalMathsMaster

Happy π Day !

Alhamdulillah!

We are proud to announce that Mr. Muhammad Israr, a faculty member of the Department of Mathematics, Government College Mansehra , and an alumnus of the same department (2018–2022), has been appointed as an Editorial Board Member of the journal JP Journal of Heat and Mass Transfer, published by Pushpa Publishing House https://pphmjopenaccess.com/index.php/jphmt/about/editorialHistory.

Mr. Israr’s research expertise spans:

Numerical Analysis

Optimization

Deep Learning

Neural Networks & Physics-Informed Neural Networks (PINNs)

Image Processing & Image Deblurring

Chemical Kinetics & Chemical Engineering

Mathematical Modeling of Biological Biosynthesis

Numerical Solutions of Mathematical Models

He has numerous publications in Neural Networks, Image Processing, Deep Learning, and related areas, highlighting his significant contributions to computational mathematics and applied modeling.

This achievement brings great recognition to our department and showcases his impact in advanced research fields.