Hammad Khalil

University of Education Pakistan

Dr. Hammad Khalil is an accomplished mathematician with a strong passion for knowledge. He earned his BS degree in 2010 and later completed a Ph.D. in Applied Mathematics in 2016. Dr. Khalil's academic journey has made a significant impact on the fields of mathematics and philosophy. He progressed from an assistant professor to an associate professor, leveraging his expertise in scientific computations and programming languages to explore scientific and cosmic mysteries. Dr. Khalil is recognized for his pioneering research and has published multiple papers in ISI-listed journals. His contributions go beyond traditional boundaries, shedding light on the beauty of mathematics and its profound philosophical implications. Additionally, he serves as an editorial board member for respected journals, playing a role in shaping scientific discourse and inspiring others to appreciate the wonders of learning and knowledge.

1books edited

2chapters authored

Latest work with IntechOpen by Hammad Khalil

Markov Model - Theory and Applications takes you on a fascinating journey into the world of math and its many uses. Experts in the field show how math can solve real-world problems, from managing inventories to making decisions. You'll also learn about things like optics and programming. This book is great for students, scientists, and anyone curious about math. It shows how math is everywhere and can change the way we think. Each chapter sparks your interest and helps you see how math shapes our world. Get ready to discover the amazing potential of math!

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Markov Model

Edited by Hammad Khalil

Books edited

Functional Calculus

Edited by Hammad Khalil

Chapters authored

Approximate Solutions of Some Boundary Value Problems by Using Operational Matrices of Bernstein Polynomials

By Kamal Shah, Thabet Abdeljawad, Hammad Khalil and Rahmat Ali Khan

In this chapter, we develop an efficient numerical scheme for the solution of boundary value problems of fractional order differential equations as well as their coupled systems by using Bernstein polynomials. On using the mentioned polynomial, we construct operational matrices for both fractional order derivatives and integrations. Also we construct a new matrix for the boundary condition. Based on the suggested method, we convert the considered problem to algebraic equation, which can be easily solved by using Matlab. In the last section, numerical examples are provided to illustrate our main results.

Part of the book: Functional Calculus

Effect of Titanium Oxide Nanofluid over Cattaneo-Christov Model

By Hammad Khalil, Tehseen Zahra, Zaffer Elahi and Azeem Shahzad

The proposed chapter deals with the study of heat transfer development of titanium oxide nanofluid of platelet shape nanoparticles over a vertical stretching cylinder. The set of nonlinear equations is obtained using suitable transformation on the governing equations that are then solved with numerical scheme BVP4C. The obtained results are interpreted graphically and numerically. The effects of Prandtl, Eckert, and unsteadiness parameters on temperature distribution are depicted. Moreover the skin friction and Nusselt number are also computed.

Part of the book: Functional Calculus

Hammad Khalil

Latest work with IntechOpen by Hammad Khalil

Markov Model

Books edited

Functional Calculus

Chapters authored

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